Abstract group data - 98304.m

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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': '32.36', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[971153, 314203, 586171, 970664, 848537, 716829, 49153], [446849, 314203, 586171, 970664, 848537, 716829, 49153], [971153, 838475, 586171, 970664, 848537, 716829, 49153], [971153, 297307, 831923, 978088, 848537, 716829, 49153], [971153, 314203, 62379, 970664, 848537, 716829, 49153], [971153, 837963, 61867, 708272, 848537, 716829, 49153], [971153, 559699, 578227, 691376, 316297, 970773, 49153], [955281, 321627, 692391, 195616, 831641, 700445, 49153], [447361, 576083, 324019, 823084, 307337, 700445, 49153], [955281, 833739, 898961, 957480, 434309, 53393, 573969], [971153, 34883, 192943, 5741, 455429, 586113, 573969], [184729, 314203, 586171, 970664, 848537, 716829, 49153], [971153, 576067, 192943, 21629, 455429, 586113, 573969], [430993, 52051, 586171, 429480, 848537, 716829, 49153], [971153, 34883, 963255, 5741, 455429, 586113, 573969], [824221, 34883, 192943, 5741, 455429, 586113, 573969], [782483, 34883, 192943, 5741, 455429, 586113, 573969], [701057, 166471, 192943, 537957, 455429, 586113, 573969], [701057, 391625, 192943, 537957, 455429, 586113, 573969], [971153, 34883, 316219, 5741, 455429, 586113, 573969], [971153, 34883, 242421, 5741, 455429, 586113, 573969], [971153, 314203, 61867, 953768, 848537, 716829, 49153], [971153, 314203, 586171, 445880, 848537, 716829, 49153], [971153, 837963, 570283, 445880, 831641, 176141, 49153]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 12582912, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 384.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 1, 2], [2, 3, 1, 2], [2, 3, 2, 1], [2, 6, 1, 2], [2, 384, 1, 1], [3, 128, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 4, 2], [4, 3, 2, 2], [4, 6, 1, 6], [4, 6, 2, 6], [4, 6, 4, 2], [4, 12, 1, 8], [4, 12, 4, 4], [4, 384, 1, 3], [4, 384, 2, 2], [6, 128, 1, 1], [6, 128, 2, 3], [8, 1, 4, 2], [8, 2, 2, 6], [8, 3, 4, 2], [8, 6, 2, 6], [8, 6, 4, 4], [8, 8, 32, 1], [8, 12, 2, 12], [8, 24, 1, 32], [8, 24, 2, 16], [8, 24, 32, 1], [8, 48, 1, 16], [8, 48, 2, 8], [8, 48, 32, 2], [8, 384, 2, 6], [8, 384, 4, 3], [12, 128, 2, 4], [12, 128, 8, 2], [16, 32, 16, 4], [16, 96, 16, 4], [16, 384, 4, 6], [16, 384, 8, 5], [16, 384, 16, 2], [24, 128, 4, 8], [24, 128, 64, 1], [48, 128, 32, 4]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 3, 4], [2, 6, 2], [2, 384, 1], [3, 128, 1], [4, 1, 4], [4, 2, 10], [4, 3, 4], [4, 6, 26], [4, 12, 24], [4, 384, 7], [6, 128, 7], [8, 1, 8], [8, 2, 12], [8, 3, 8], [8, 6, 28], [8, 8, 32], [8, 12, 24], [8, 24, 96], [8, 48, 96], [8, 384, 24], [12, 128, 24], [16, 32, 64], [16, 96, 64], [16, 384, 96], [24, 128, 96], [48, 128, 128]], 'center_label': '16.5', 'center_order': 16, 'central_product': False, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': '3072.s', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 16, 'conjugacy_classes_known': True, 'counter': 13, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 3, 1, 4], [2, 6, 1, 2], [2, 384, 1, 1], [3, 128, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 4], [4, 3, 2, 2], [4, 6, 1, 10], [4, 6, 2, 8], [4, 12, 1, 8], [4, 12, 2, 8], [4, 384, 1, 7], [6, 128, 1, 3], [6, 128, 2, 2], [8, 1, 4, 2], [8, 2, 2, 6], [8, 3, 4, 2], [8, 6, 2, 6], [8, 6, 4, 4], [8, 8, 4, 8], [8, 12, 2, 12], [8, 24, 1, 32], [8, 24, 2, 16], [8, 24, 4, 8], [8, 48, 1, 16], [8, 48, 2, 8], [8, 48, 4, 16], [8, 384, 1, 4], [8, 384, 2, 10], [12, 128, 2, 4], [12, 128, 4, 4], [16, 32, 8, 8], [16, 96, 8, 8], [16, 384, 2, 4], [16, 384, 4, 22], [24, 128, 4, 8], [24, 128, 8, 8], [48, 128, 16, 8]], 'element_repr_type': 'GLZq', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [15, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1024.yy', 'frattini_quotient': '96.226', 'hash': 4624393922946392465, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [8, 8, 16, 12, 8, 8, 2], 'inner_gens': [[971153, 837963, 971311, 970664, 831641, 176141, 49153], [447361, 314203, 381409, 847404, 840601, 446469, 49153], [585885, 367577, 586171, 17893, 168205, 561793, 573969], [971153, 170335, 552572, 970664, 439045, 950677, 33281], [955281, 845899, 708791, 982824, 848537, 192525, 49153], [430465, 567635, 708791, 56996, 324233, 716829, 49153], [971153, 314203, 61867, 430008, 848537, 716829, 49153]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 6144, 'inner_split': None, 'inner_tex': None, 'inner_used': None, 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 32], [2, 184], [3, 32], [4, 192], [6, 120], [12, 240], [24, 96]], 'label': '98304.m', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C4^4.C4^2:S4', 'ngens': 16, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 212, 'number_characteristic_subgroups': 279, 'number_conjugacy_classes': 896, 'number_divisions': 294, 'number_normal_subgroups': 323, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 98304, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 415], [3, 128], [4, 3168], [6, 896], [8, 16896], [12, 3072], [16, 45056], [24, 12288], [48, 16384]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 2048, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 12], [3, 8], [4, 20], [6, 20], [8, 20], [12, 52], [16, 8], [24, 90], [32, 8], [48, 16], [64, 8], [96, 24]], 'representations': {'PC': {'code': '301659309081422592335348874156419096682714126742016948391946051492526365999813764738370394104048228593681018874489997468260496971382951297033303913915295433553423967593565941415795131394220737856237032135119485464579587046756675578647272114722056218839959252154072594280240727097820534669132789247589162854570882964143224231086663505234632594591252608', 'gens': [1, 4, 6, 7, 10, 13, 16], 'pres': [16, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 32, 81, 1769987, 179, 370628, 4723205, 19989, 1770277, 357557, 444933, 34645, 495542, 172550, 255222, 326, 800823, 25671, 196183, 375, 640568, 223560, 327256, 41608, 614409, 46137, 161369, 180585, 100921, 45257, 473, 101434, 84570, 109930, 120506, 27594, 522, 147547, 73835, 41595, 18571, 6389772, 479292, 404444, 267180, 66268, 66908, 21788, 620, 1032253, 182877, 317293, 45821, 79437, 669, 23134, 103790, 5886, 26062, 614495, 209007, 153727, 52367]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [33025, 557073, 828161, 102803, 33281, 294921, 124284, 98307, 573953, 32777, 102791, 32897, 32785, 32803, 306003, 709533]}}, 'schur_multiplier': [2, 2, 4], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 32, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_4^4.C_4^2:S_4', 'transitive_degree': None, '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: 177420448
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 13, 'group_order': 98304, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 32769, 'size': 1}
  • id: 177420559
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 13, 'group_order': 98304, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 557073, 'size': 1}
  • id: 177420670
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 13, 'group_order': 98304, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 1015839, 'size': 1}
  • id: 177420781
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 13, 'group_order': 98304, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 491535, 'size': 1}
  • id: 177420892
    {'aut_label': '2D', 'centralizer': '2.F', 'counter': 5, 'group_counter': 13, 'group_order': 98304, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 573953, 'size': 2}
  • id: 177421003
    {'aut_label': '2E', 'centralizer': '2.F', 'counter': 6, 'group_counter': 13, 'group_order': 98304, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 508447, 'size': 2}
  • id: 177421114
    {'aut_label': '2F', 'centralizer': '3.a1', 'counter': 7, 'group_counter': 13, 'group_order': 98304, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 49665, 'size': 3}
  • id: 177421225
    {'aut_label': '2G', 'centralizer': '3.a1', 'counter': 8, 'group_counter': 13, 'group_order': 98304, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 573969, 'size': 3}
  • id: 177421333
    {'aut_label': '2H', 'centralizer': '3.a1', 'counter': 9, 'group_counter': 13, 'group_order': 98304, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 1032735, 'size': 3}
  • id: 177420449
    {'aut_label': '2H', 'centralizer': '3.a1', 'counter': 10, 'group_counter': 13, 'group_order': 98304, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 1032223, 'size': 3}
  • id: 177420460
    {'aut_label': '2J', 'centralizer': '6.A', 'counter': 11, 'group_counter': 13, 'group_order': 98304, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 507935, 'size': 6}
  • id: 177420471
    {'aut_label': '2K', 'centralizer': '6.A', 'counter': 12, 'group_counter': 13, 'group_order': 98304, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 33297, 'size': 6}
  • id: 177420482
    {'aut_label': '2L', 'centralizer': None, 'counter': 13, 'group_counter': 13, 'group_order': 98304, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 927012, 'size': 384}
  • id: 177420493
    {'aut_label': '3A', 'centralizer': None, 'counter': 14, 'group_counter': 13, 'group_order': 98304, 'label': '3A', 'order': 3, 'powers': [14, 1], 'representative': 548143, 'size': 128}
  • id: 177420504
    {'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 13, 'group_order': 98304, 'label': '4A1', 'order': 4, 'powers': [2, 16], 'representative': 294921, 'size': 1}
  • id: 177420515
    {'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 13, 'group_order': 98304, 'label': '4A-1', 'order': 4, 'powers': [2, 15], 'representative': 819225, 'size': 1}
  • id: 177420526
    {'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 13, 'group_order': 98304, 'label': '4B1', 'order': 4, 'powers': [2, 18], 'representative': 229383, 'size': 1}
  • id: 177420537
    {'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 13, 'group_order': 98304, 'label': '4B-1', 'order': 4, 'powers': [2, 17], 'representative': 753687, 'size': 1}
  • id: 177420548
    {'aut_label': '4C', 'centralizer': '2.F', 'counter': 19, 'group_counter': 13, 'group_order': 98304, 'label': '4C', 'order': 4, 'powers': [2, 19], 'representative': 311833, 'size': 2}
  • id: 177420560
    {'aut_label': '4D', 'centralizer': '2.F', 'counter': 20, 'group_counter': 13, 'group_order': 98304, 'label': '4D', 'order': 4, 'powers': [2, 20], 'representative': 770567, 'size': 2}
  • id: 177420571
    {'aut_label': '4E1', 'centralizer': '2.F', 'counter': 21, 'group_counter': 13, 'group_order': 98304, 'label': '4E1', 'order': 4, 'powers': [5, 22], 'representative': 500503, 'size': 2}
  • id: 177420582
    {'aut_label': '4E1', 'centralizer': '2.F', 'counter': 22, 'group_counter': 13, 'group_order': 98304, 'label': '4E-1', 'order': 4, 'powers': [5, 21], 'representative': 516359, 'size': 2}
  • id: 177420593
    {'aut_label': '4E1', 'centralizer': '2.F', 'counter': 23, 'group_counter': 13, 'group_order': 98304, 'label': '4F1', 'order': 4, 'powers': [5, 24], 'representative': 1024775, 'size': 2}
  • id: 177420604
    {'aut_label': '4E1', 'centralizer': '2.F', 'counter': 24, 'group_counter': 13, 'group_order': 98304, 'label': '4F-1', 'order': 4, 'powers': [5, 23], 'representative': 1040663, 'size': 2}
  • id: 177420615
    {'aut_label': '4G1', 'centralizer': '2.F', 'counter': 25, 'group_counter': 13, 'group_order': 98304, 'label': '4G1', 'order': 4, 'powers': [5, 26], 'representative': 303889, 'size': 2}
  • id: 177420626
    {'aut_label': '4G1', 'centralizer': '2.F', 'counter': 26, 'group_counter': 13, 'group_order': 98304, 'label': '4G-1', 'order': 4, 'powers': [5, 25], 'representative': 844049, 'size': 2}
  • id: 177420637
    {'aut_label': '4G1', 'centralizer': '2.F', 'counter': 27, 'group_counter': 13, 'group_order': 98304, 'label': '4H1', 'order': 4, 'powers': [5, 28], 'representative': 828161, 'size': 2}
  • id: 177420648
    {'aut_label': '4G1', 'centralizer': '2.F', 'counter': 28, 'group_counter': 13, 'group_order': 98304, 'label': '4H-1', 'order': 4, 'powers': [5, 27], 'representative': 319745, 'size': 2}
  • id: 177420659
    {'aut_label': '4I1', 'centralizer': '3.a1', 'counter': 29, 'group_counter': 13, 'group_order': 98304, 'label': '4I1', 'order': 4, 'powers': [2, 30], 'representative': 835609, 'size': 3}
  • id: 177420671
    {'aut_label': '4I1', 'centralizer': '3.a1', 'counter': 30, 'group_counter': 13, 'group_order': 98304, 'label': '4I-1', 'order': 4, 'powers': [2, 29], 'representative': 311305, 'size': 3}
  • id: 177420682
    {'aut_label': '4J1', 'centralizer': '3.a1', 'counter': 31, 'group_counter': 13, 'group_order': 98304, 'label': '4J1', 'order': 4, 'powers': [2, 32], 'representative': 754199, 'size': 3}
  • id: 177420693
    {'aut_label': '4J1', 'centralizer': '3.a1', 'counter': 32, 'group_counter': 13, 'group_order': 98304, 'label': '4J-1', 'order': 4, 'powers': [2, 31], 'representative': 229895, 'size': 3}
  • id: 177420704
    {'aut_label': '4K', 'centralizer': '6.A', 'counter': 33, 'group_counter': 13, 'group_order': 98304, 'label': '4K', 'order': 4, 'powers': [2, 33], 'representative': 770055, 'size': 6}
  • id: 177420715
    {'aut_label': '4L', 'centralizer': '6.F', 'counter': 34, 'group_counter': 13, 'group_order': 98304, 'label': '4L', 'order': 4, 'powers': [7, 34], 'representative': 1024287, 'size': 6}
  • id: 177420726
    {'aut_label': '4L', 'centralizer': '6.F', 'counter': 35, 'group_counter': 13, 'group_order': 98304, 'label': '4M', 'order': 4, 'powers': [7, 35], 'representative': 237591, 'size': 6}
  • id: 177420737
    {'aut_label': '4N', 'centralizer': '6.A', 'counter': 36, 'group_counter': 13, 'group_order': 98304, 'label': '4N', 'order': 4, 'powers': [2, 36], 'representative': 295449, 'size': 6}
  • id: 177420748
    {'aut_label': '4O', 'centralizer': '6.F', 'counter': 37, 'group_counter': 13, 'group_order': 98304, 'label': '4O', 'order': 4, 'powers': [7, 37], 'representative': 843785, 'size': 6}
  • id: 177420759
    {'aut_label': '4P', 'centralizer': '6.J', 'counter': 38, 'group_counter': 13, 'group_order': 98304, 'label': '4P', 'order': 4, 'powers': [7, 38], 'representative': 57601, 'size': 6}
  • id: 177420770
    {'aut_label': '4Q', 'centralizer': '6.F', 'counter': 39, 'group_counter': 13, 'group_order': 98304, 'label': '4Q', 'order': 4, 'powers': [7, 39], 'representative': 319513, 'size': 6}
  • id: 177420782
    {'aut_label': '4R', 'centralizer': '6.J', 'counter': 40, 'group_counter': 13, 'group_order': 98304, 'label': '4R', 'order': 4, 'powers': [7, 40], 'representative': 581905, 'size': 6}
  • id: 177420793
    {'aut_label': '4S', 'centralizer': '6.J', 'counter': 41, 'group_counter': 13, 'group_order': 98304, 'label': '4S', 'order': 4, 'powers': [7, 41], 'representative': 238103, 'size': 6}
  • id: 177420804
    {'aut_label': '4S', 'centralizer': '6.J', 'counter': 42, 'group_counter': 13, 'group_order': 98304, 'label': '4T', 'order': 4, 'powers': [7, 42], 'representative': 246039, 'size': 6}
  • id: 177420815
    {'aut_label': '4U1', 'centralizer': '6.A', 'counter': 43, 'group_counter': 13, 'group_order': 98304, 'label': '4U1', 'order': 4, 'powers': [5, 44], 'representative': 237839, 'size': 6}
  • id: 177420826
    {'aut_label': '4U1', 'centralizer': '6.A', 'counter': 44, 'group_counter': 13, 'group_order': 98304, 'label': '4U-1', 'order': 4, 'powers': [5, 43], 'representative': 779023, 'size': 6}
  • id: 177420837
    {'aut_label': '4U1', 'centralizer': '6.A', 'counter': 45, 'group_counter': 13, 'group_order': 98304, 'label': '4V1', 'order': 4, 'powers': [5, 46], 'representative': 1041175, 'size': 6}
  • id: 177420848
    {'aut_label': '4U1', 'centralizer': '6.A', 'counter': 46, 'group_counter': 13, 'group_order': 98304, 'label': '4V-1', 'order': 4, 'powers': [5, 45], 'representative': 762639, 'size': 6}
  • id: 177420859
    {'aut_label': '4W1', 'centralizer': '6.F', 'counter': 47, 'group_counter': 13, 'group_order': 98304, 'label': '4W1', 'order': 4, 'powers': [8, 48], 'representative': 237831, 'size': 6}
  • id: 177420870
    {'aut_label': '4W1', 'centralizer': '6.F', 'counter': 48, 'group_counter': 13, 'group_order': 98304, 'label': '4W-1', 'order': 4, 'powers': [8, 47], 'representative': 499743, 'size': 6}
  • id: 177420881
    {'aut_label': '4X1', 'centralizer': '6.F', 'counter': 49, 'group_counter': 13, 'group_order': 98304, 'label': '4X1', 'order': 4, 'powers': [8, 50], 'representative': 57361, 'size': 6}
  • id: 177420893
    {'aut_label': '4X1', 'centralizer': '6.F', 'counter': 50, 'group_counter': 13, 'group_order': 98304, 'label': '4X-1', 'order': 4, 'powers': [8, 49], 'representative': 40977, 'size': 6}
  • id: 177420904
    {'aut_label': '4Y1', 'centralizer': '6.J', 'counter': 51, 'group_counter': 13, 'group_order': 98304, 'label': '4Y1', 'order': 4, 'powers': [8, 52], 'representative': 319753, 'size': 6}
  • id: 177420915
    {'aut_label': '4Y1', 'centralizer': '6.J', 'counter': 52, 'group_counter': 13, 'group_order': 98304, 'label': '4Y-1', 'order': 4, 'powers': [8, 51], 'representative': 828185, 'size': 6}
  • id: 177420926
    {'aut_label': '4Z1', 'centralizer': '6.A', 'counter': 53, 'group_counter': 13, 'group_order': 98304, 'label': '4Z1', 'order': 4, 'powers': [5, 54], 'representative': 303361, 'size': 6}
  • id: 177420937
    {'aut_label': '4Z1', 'centralizer': '6.A', 'counter': 54, 'group_counter': 13, 'group_order': 98304, 'label': '4Z-1', 'order': 4, 'powers': [5, 53], 'representative': 844545, 'size': 6}
  • id: 177420948
    {'aut_label': '4Z1', 'centralizer': '6.A', 'counter': 55, 'group_counter': 13, 'group_order': 98304, 'label': '4AA1', 'order': 4, 'powers': [5, 56], 'representative': 827665, 'size': 6}
  • id: 177420959
    {'aut_label': '4Z1', 'centralizer': '6.A', 'counter': 56, 'group_counter': 13, 'group_order': 98304, 'label': '4AA-1', 'order': 4, 'powers': [5, 55], 'representative': 320273, 'size': 6}
  • id: 177420970
    {'aut_label': '4AB1', 'centralizer': '6.J', 'counter': 57, 'group_counter': 13, 'group_order': 98304, 'label': '4AB1', 'order': 4, 'powers': [8, 58], 'representative': 778519, 'size': 6}
  • id: 177420981
    {'aut_label': '4AB1', 'centralizer': '6.J', 'counter': 58, 'group_counter': 13, 'group_order': 98304, 'label': '4AB-1', 'order': 4, 'powers': [8, 57], 'representative': 238343, 'size': 6}
  • id: 177420992
    {'aut_label': '4AC', 'centralizer': '12.A', 'counter': 59, 'group_counter': 13, 'group_order': 98304, 'label': '4AC', 'order': 4, 'powers': [8, 59], 'representative': 1040415, 'size': 12}
  • id: 177421004
    {'aut_label': '4AD', 'centralizer': '12.A', 'counter': 60, 'group_counter': 13, 'group_order': 98304, 'label': '4AD', 'order': 4, 'powers': [8, 60], 'representative': 779015, 'size': 12}
  • id: 177421015
    {'aut_label': '4AE', 'centralizer': '12.A', 'counter': 61, 'group_counter': 13, 'group_order': 98304, 'label': '4AE', 'order': 4, 'powers': [7, 61], 'representative': 778263, 'size': 12}
  • id: 177421026
    {'aut_label': '4AF', 'centralizer': '12.A', 'counter': 62, 'group_counter': 13, 'group_order': 98304, 'label': '4AF', 'order': 4, 'powers': [7, 62], 'representative': 516895, 'size': 12}
  • id: 177421037
    {'aut_label': '4AG', 'centralizer': '12.A', 'counter': 63, 'group_counter': 13, 'group_order': 98304, 'label': '4AG', 'order': 4, 'powers': [8, 63], 'representative': 565777, 'size': 12}
  • id: 177421048
    {'aut_label': '4AH', 'centralizer': '12.A', 'counter': 64, 'group_counter': 13, 'group_order': 98304, 'label': '4AH', 'order': 4, 'powers': [8, 64], 'representative': 828169, 'size': 12}
  • id: 177421059
    {'aut_label': '4AI', 'centralizer': '12.A', 'counter': 65, 'group_counter': 13, 'group_order': 98304, 'label': '4AI', 'order': 4, 'powers': [7, 65], 'representative': 303625, 'size': 12}
  • id: 177421070
    {'aut_label': '4AJ', 'centralizer': '12.A', 'counter': 66, 'group_counter': 13, 'group_order': 98304, 'label': '4AJ', 'order': 4, 'powers': [7, 66], 'representative': 566017, 'size': 12}
  • id: 177421081
    {'aut_label': '4AK1', 'centralizer': '12.A', 'counter': 67, 'group_counter': 13, 'group_order': 98304, 'label': '4AK1', 'order': 4, 'powers': [12, 68], 'representative': 508167, 'size': 12}
  • id: 177421092
    {'aut_label': '4AK1', 'centralizer': '12.A', 'counter': 68, 'group_counter': 13, 'group_order': 98304, 'label': '4AK-1', 'order': 4, 'powers': [12, 67], 'representative': 1016583, 'size': 12}
  • id: 177421103
    {'aut_label': '4AL1', 'centralizer': '12.A', 'counter': 69, 'group_counter': 13, 'group_order': 98304, 'label': '4AL1', 'order': 4, 'powers': [12, 70], 'representative': 245775, 'size': 12}
  • id: 177421115
    {'aut_label': '4AL1', 'centralizer': '12.A', 'counter': 70, 'group_counter': 13, 'group_order': 98304, 'label': '4AL-1', 'order': 4, 'powers': [12, 69], 'representative': 754191, 'size': 12}
  • id: 177421126
    {'aut_label': '4AK1', 'centralizer': '12.A', 'counter': 71, 'group_counter': 13, 'group_order': 98304, 'label': '4AM1', 'order': 4, 'powers': [12, 72], 'representative': 230159, 'size': 12}
  • id: 177421137
    {'aut_label': '4AK1', 'centralizer': '12.A', 'counter': 72, 'group_counter': 13, 'group_order': 98304, 'label': '4AM-1', 'order': 4, 'powers': [12, 71], 'representative': 1032967, 'size': 12}
  • id: 177421148
    {'aut_label': '4AL1', 'centralizer': '12.A', 'counter': 73, 'group_counter': 13, 'group_order': 98304, 'label': '4AN1', 'order': 4, 'powers': [12, 74], 'representative': 1016343, 'size': 12}
  • id: 177421159
    {'aut_label': '4AL1', 'centralizer': '12.A', 'counter': 74, 'group_counter': 13, 'group_order': 98304, 'label': '4AN-1', 'order': 4, 'powers': [12, 73], 'representative': 1016071, 'size': 12}
  • id: 177421170
    {'aut_label': '4AO1', 'centralizer': '12.A', 'counter': 75, 'group_counter': 13, 'group_order': 98304, 'label': '4AO1', 'order': 4, 'powers': [12, 76], 'representative': 33033, 'size': 12}
  • id: 177421181
    {'aut_label': '4AO1', 'centralizer': '12.A', 'counter': 76, 'group_counter': 13, 'group_order': 98304, 'label': '4AO-1', 'order': 4, 'powers': [12, 75], 'representative': 33561, 'size': 12}
  • id: 177421192
    {'aut_label': '4AP1', 'centralizer': '12.A', 'counter': 77, 'group_counter': 13, 'group_order': 98304, 'label': '4AP1', 'order': 4, 'powers': [12, 78], 'representative': 819217, 'size': 12}
  • id: 177421203
    {'aut_label': '4AP1', 'centralizer': '12.A', 'counter': 78, 'group_counter': 13, 'group_order': 98304, 'label': '4AP-1', 'order': 4, 'powers': [12, 77], 'representative': 294929, 'size': 12}
  • id: 177421214
    {'aut_label': '4AO1', 'centralizer': '12.A', 'counter': 79, 'group_counter': 13, 'group_order': 98304, 'label': '4AQ1', 'order': 4, 'powers': [12, 80], 'representative': 557337, 'size': 12}
  • id: 177421226
    {'aut_label': '4AO1', 'centralizer': '12.A', 'counter': 80, 'group_counter': 13, 'group_order': 98304, 'label': '4AQ-1', 'order': 4, 'powers': [12, 79], 'representative': 557833, 'size': 12}
  • id: 177421237
    {'aut_label': '4AP1', 'centralizer': '12.A', 'counter': 81, 'group_counter': 13, 'group_order': 98304, 'label': '4AR1', 'order': 4, 'powers': [12, 82], 'representative': 294913, 'size': 12}
  • id: 177421248
    {'aut_label': '4AP1', 'centralizer': '12.A', 'counter': 82, 'group_counter': 13, 'group_order': 98304, 'label': '4AR-1', 'order': 4, 'powers': [12, 81], 'representative': 819201, 'size': 12}
  • id: 177421259
    {'aut_label': '4AS', 'centralizer': None, 'counter': 83, 'group_counter': 13, 'group_order': 98304, 'label': '4AS', 'order': 4, 'powers': [9, 83], 'representative': 734458, 'size': 384}
  • id: 177421270
    {'aut_label': '4AT', 'centralizer': None, 'counter': 84, 'group_counter': 13, 'group_order': 98304, 'label': '4AT', 'order': 4, 'powers': [8, 84], 'representative': 292008, 'size': 384}
  • id: 177421281
    {'aut_label': '4AS', 'centralizer': None, 'counter': 85, 'group_counter': 13, 'group_order': 98304, 'label': '4AU', 'order': 4, 'powers': [10, 85], 'representative': 689371, 'size': 384}
  • id: 177421292
    {'aut_label': '4AV', 'centralizer': None, 'counter': 86, 'group_counter': 13, 'group_order': 98304, 'label': '4AV', 'order': 4, 'powers': [4, 86], 'representative': 907301, 'size': 384}
  • id: 177421303
    {'aut_label': '4AV', 'centralizer': None, 'counter': 87, 'group_counter': 13, 'group_order': 98304, 'label': '4AW', 'order': 4, 'powers': [3, 87], 'representative': 218618, 'size': 384}
  • id: 177421314
    {'aut_label': '4AX', 'centralizer': None, 'counter': 88, 'group_counter': 13, 'group_order': 98304, 'label': '4AX', 'order': 4, 'powers': [2, 88], 'representative': 647277, 'size': 384}
  • id: 177421325
    {'aut_label': '4AY', 'centralizer': None, 'counter': 89, 'group_counter': 13, 'group_order': 98304, 'label': '4AY', 'order': 4, 'powers': [7, 89], 'representative': 534304, 'size': 384}
  • id: 177421334
    {'aut_label': '6A', 'centralizer': None, 'counter': 90, 'group_counter': 13, 'group_order': 98304, 'label': '6A', 'order': 6, 'powers': [14, 3], 'representative': 580912, 'size': 128}
  • id: 177421335
    {'aut_label': '6A', 'centralizer': None, 'counter': 91, 'group_counter': 13, 'group_order': 98304, 'label': '6B', 'order': 6, 'powers': [14, 4], 'representative': 26353, 'size': 128}
  • id: 177421336
    {'aut_label': '6C', 'centralizer': None, 'counter': 92, 'group_counter': 13, 'group_order': 98304, 'label': '6C', 'order': 6, 'powers': [14, 2], 'representative': 532287, 'size': 128}
  • id: 177421337
    {'aut_label': '6D1', 'centralizer': None, 'counter': 93, 'group_counter': 13, 'group_order': 98304, 'label': '6D1', 'order': 6, 'powers': [14, 6], 'representative': 565024, 'size': 128}
  • id: 177421338
    {'aut_label': '6D1', 'centralizer': None, 'counter': 94, 'group_counter': 13, 'group_order': 98304, 'label': '6D-1', 'order': 6, 'powers': [14, 6], 'representative': 581424, 'size': 128}
  • id: 177421339
    {'aut_label': '6E1', 'centralizer': None, 'counter': 95, 'group_counter': 13, 'group_order': 98304, 'label': '6E1', 'order': 6, 'powers': [14, 5], 'representative': 7983, 'size': 128}
  • id: 177421340
    {'aut_label': '6E1', 'centralizer': None, 'counter': 96, 'group_counter': 13, 'group_order': 98304, 'label': '6E-1', 'order': 6, 'powers': [14, 5], 'representative': 1025760, 'size': 128}
  • id: 177421341
    {'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 13, 'group_order': 98304, 'label': '8A1', 'order': 8, 'powers': [15, 99], 'representative': 425997, 'size': 1}
  • id: 177421342
    {'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 13, 'group_order': 98304, 'label': '8A-1', 'order': 8, 'powers': [16, 100], 'representative': 163845, 'size': 1}
  • id: 177421343
    {'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 13, 'group_order': 98304, 'label': '8A3', 'order': 8, 'powers': [16, 97], 'representative': 688149, 'size': 1}
  • id: 177420450
    {'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 13, 'group_order': 98304, 'label': '8A-3', 'order': 8, 'powers': [15, 98], 'representative': 950301, 'size': 1}
  • id: 177420451
    {'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 13, 'group_order': 98304, 'label': '8B1', 'order': 8, 'powers': [16, 103], 'representative': 360459, 'size': 1}
  • id: 177420452
    {'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 13, 'group_order': 98304, 'label': '8B-1', 'order': 8, 'powers': [15, 104], 'representative': 98307, 'size': 1}
  • id: 177420453
    {'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 13, 'group_order': 98304, 'label': '8B3', 'order': 8, 'powers': [15, 101], 'representative': 622611, 'size': 1}
  • id: 177420454
    {'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 13, 'group_order': 98304, 'label': '8B-3', 'order': 8, 'powers': [16, 102], 'representative': 884763, 'size': 1}
  • id: 177420455
    {'aut_label': '8C1', 'centralizer': '2.F', 'counter': 105, 'group_counter': 13, 'group_order': 98304, 'label': '8C1', 'order': 8, 'powers': [16, 106], 'representative': 180757, 'size': 2}
  • id: 177420456
    {'aut_label': '8C1', 'centralizer': '2.F', 'counter': 106, 'group_counter': 13, 'group_order': 98304, 'label': '8C-1', 'order': 8, 'powers': [15, 105], 'representative': 442909, 'size': 2}
  • id: 177420457
    {'aut_label': '8D1', 'centralizer': '2.F', 'counter': 107, 'group_counter': 13, 'group_order': 98304, 'label': '8D1', 'order': 8, 'powers': [19, 108], 'representative': 631579, 'size': 2}
  • id: 177420458
    {'aut_label': '8D1', 'centralizer': '2.F', 'counter': 108, 'group_counter': 13, 'group_order': 98304, 'label': '8D3', 'order': 8, 'powers': [19, 107], 'representative': 385283, 'size': 2}
  • id: 177420459
    {'aut_label': '8E1', 'centralizer': '2.F', 'counter': 109, 'group_counter': 13, 'group_order': 98304, 'label': '8E1', 'order': 8, 'powers': [19, 109], 'representative': 123163, 'size': 2}
  • id: 177420461
    {'aut_label': '8E1', 'centralizer': '2.F', 'counter': 110, 'group_counter': 13, 'group_order': 98304, 'label': '8E-1', 'order': 8, 'powers': [19, 110], 'representative': 369427, 'size': 2}
  • id: 177420462
    {'aut_label': '8F1', 'centralizer': '2.F', 'counter': 111, 'group_counter': 13, 'group_order': 98304, 'label': '8F1', 'order': 8, 'powers': [16, 112], 'representative': 901643, 'size': 2}
  • id: 177420463
    {'aut_label': '8F1', 'centralizer': '2.F', 'counter': 112, 'group_counter': 13, 'group_order': 98304, 'label': '8F-1', 'order': 8, 'powers': [15, 111], 'representative': 639491, 'size': 2}
  • id: 177420464
    {'aut_label': '8G1', 'centralizer': '2.F', 'counter': 113, 'group_counter': 13, 'group_order': 98304, 'label': '8G1', 'order': 8, 'powers': [19, 114], 'representative': 975125, 'size': 2}
  • id: 177420465
    {'aut_label': '8G1', 'centralizer': '2.F', 'counter': 114, 'group_counter': 13, 'group_order': 98304, 'label': '8G3', 'order': 8, 'powers': [19, 113], 'representative': 172813, 'size': 2}
  • id: 177420466
    {'aut_label': '8H1', 'centralizer': '2.F', 'counter': 115, 'group_counter': 13, 'group_order': 98304, 'label': '8H1', 'order': 8, 'powers': [19, 115], 'representative': 434965, 'size': 2}
  • id: 177420467
    {'aut_label': '8H1', 'centralizer': '2.F', 'counter': 116, 'group_counter': 13, 'group_order': 98304, 'label': '8H-1', 'order': 8, 'powers': [19, 116], 'representative': 188701, 'size': 2}
  • id: 177420468
    {'aut_label': '8I1', 'centralizer': '3.a1', 'counter': 117, 'group_counter': 13, 'group_order': 98304, 'label': '8I1', 'order': 8, 'powers': [15, 119], 'representative': 98819, 'size': 3}
  • id: 177420469
    {'aut_label': '8I1', 'centralizer': '3.a1', 'counter': 118, 'group_counter': 13, 'group_order': 98304, 'label': '8I-1', 'order': 8, 'powers': [16, 120], 'representative': 360971, 'size': 3}
  • id: 177420470
    {'aut_label': '8I1', 'centralizer': '3.a1', 'counter': 119, 'group_counter': 13, 'group_order': 98304, 'label': '8I3', 'order': 8, 'powers': [16, 117], 'representative': 885275, 'size': 3}
  • id: 177420472
    {'aut_label': '8I1', 'centralizer': '3.a1', 'counter': 120, 'group_counter': 13, 'group_order': 98304, 'label': '8I-3', 'order': 8, 'powers': [15, 118], 'representative': 623123, 'size': 3}
  • id: 177420473
    {'aut_label': '8J1', 'centralizer': '3.a1', 'counter': 121, 'group_counter': 13, 'group_order': 98304, 'label': '8J1', 'order': 8, 'powers': [16, 123], 'representative': 705045, 'size': 3}
  • id: 177420474
    {'aut_label': '8J1', 'centralizer': '3.a1', 'counter': 122, 'group_counter': 13, 'group_order': 98304, 'label': '8J-1', 'order': 8, 'powers': [15, 124], 'representative': 967197, 'size': 3}
  • id: 177420475
    {'aut_label': '8J1', 'centralizer': '3.a1', 'counter': 123, 'group_counter': 13, 'group_order': 98304, 'label': '8J3', 'order': 8, 'powers': [15, 121], 'representative': 442893, 'size': 3}
  • id: 177420476
    {'aut_label': '8J1', 'centralizer': '3.a1', 'counter': 124, 'group_counter': 13, 'group_order': 98304, 'label': '8J-3', 'order': 8, 'powers': [16, 122], 'representative': 180741, 'size': 3}
  • id: 177420477
    {'aut_label': '8K1', 'centralizer': '6.A', 'counter': 125, 'group_counter': 13, 'group_order': 98304, 'label': '8K1', 'order': 8, 'powers': [19, 126], 'representative': 647963, 'size': 6}
  • id: 177420478
    {'aut_label': '8K1', 'centralizer': '6.A', 'counter': 126, 'group_counter': 13, 'group_order': 98304, 'label': '8K3', 'order': 8, 'powers': [19, 125], 'representative': 123659, 'size': 6}
  • id: 177420479
    {'aut_label': '8L1', 'centralizer': '6.A', 'counter': 127, 'group_counter': 13, 'group_order': 98304, 'label': '8L1', 'order': 8, 'powers': [15, 128], 'representative': 442397, 'size': 6}
  • id: 177420480
    {'aut_label': '8L1', 'centralizer': '6.A', 'counter': 128, 'group_counter': 13, 'group_order': 98304, 'label': '8L-1', 'order': 8, 'powers': [16, 127], 'representative': 180245, 'size': 6}
  • id: 177420481
    {'aut_label': '8M1', 'centralizer': '6.A', 'counter': 129, 'group_counter': 13, 'group_order': 98304, 'label': '8M1', 'order': 8, 'powers': [19, 129], 'representative': 106779, 'size': 6}
  • id: 177420483
    {'aut_label': '8M1', 'centralizer': '6.A', 'counter': 130, 'group_counter': 13, 'group_order': 98304, 'label': '8M-1', 'order': 8, 'powers': [19, 130], 'representative': 631051, 'size': 6}
  • id: 177420484
    {'aut_label': '8N1', 'centralizer': '6.A', 'counter': 131, 'group_counter': 13, 'group_order': 98304, 'label': '8N1', 'order': 8, 'powers': [16, 132], 'representative': 885259, 'size': 6}
  • id: 177420485
    {'aut_label': '8N1', 'centralizer': '6.A', 'counter': 132, 'group_counter': 13, 'group_order': 98304, 'label': '8N-1', 'order': 8, 'powers': [15, 131], 'representative': 98835, 'size': 6}
  • id: 177420486
    {'aut_label': '8O1', 'centralizer': '6.A', 'counter': 133, 'group_counter': 13, 'group_order': 98304, 'label': '8O1', 'order': 8, 'powers': [19, 134], 'representative': 172301, 'size': 6}
  • id: 177420487
    {'aut_label': '8O1', 'centralizer': '6.A', 'counter': 134, 'group_counter': 13, 'group_order': 98304, 'label': '8O3', 'order': 8, 'powers': [19, 133], 'representative': 975637, 'size': 6}
  • id: 177420488
    {'aut_label': '8P1', 'centralizer': '6.A', 'counter': 135, 'group_counter': 13, 'group_order': 98304, 'label': '8P1', 'order': 8, 'powers': [19, 135], 'representative': 713485, 'size': 6}
  • id: 177420489
    {'aut_label': '8P1', 'centralizer': '6.A', 'counter': 136, 'group_counter': 13, 'group_order': 98304, 'label': '8P-1', 'order': 8, 'powers': [19, 136], 'representative': 958725, 'size': 6}
  • id: 177420490
    {'aut_label': '8Q1', 'centralizer': '6.J', 'counter': 137, 'group_counter': 13, 'group_order': 98304, 'label': '8Q1', 'order': 8, 'powers': [29, 139], 'representative': 713221, 'size': 6}
  • id: 177420491
    {'aut_label': '8Q1', 'centralizer': '6.J', 'counter': 138, 'group_counter': 13, 'group_order': 98304, 'label': '8Q-1', 'order': 8, 'powers': [30, 140], 'representative': 451101, 'size': 6}
  • id: 177420492
    {'aut_label': '8Q1', 'centralizer': '6.J', 'counter': 139, 'group_counter': 13, 'group_order': 98304, 'label': '8Q3', 'order': 8, 'powers': [30, 137], 'representative': 434717, 'size': 6}
  • id: 177420494
    {'aut_label': '8Q1', 'centralizer': '6.J', 'counter': 140, 'group_counter': 13, 'group_order': 98304, 'label': '8Q-3', 'order': 8, 'powers': [29, 138], 'representative': 696837, 'size': 6}
  • id: 177420495
    {'aut_label': '8R1', 'centralizer': '6.F', 'counter': 141, 'group_counter': 13, 'group_order': 98304, 'label': '8R1', 'order': 8, 'powers': [29, 143], 'representative': 892939, 'size': 6}
  • id: 177420496
    {'aut_label': '8R1', 'centralizer': '6.F', 'counter': 142, 'group_counter': 13, 'group_order': 98304, 'label': '8R-1', 'order': 8, 'powers': [30, 144], 'representative': 647171, 'size': 6}
  • id: 177420497
    {'aut_label': '8R1', 'centralizer': '6.F', 'counter': 143, 'group_counter': 13, 'group_order': 98304, 'label': '8R3', 'order': 8, 'powers': [30, 141], 'representative': 630787, 'size': 6}
  • id: 177420498
    {'aut_label': '8R1', 'centralizer': '6.F', 'counter': 144, 'group_counter': 13, 'group_order': 98304, 'label': '8R-3', 'order': 8, 'powers': [29, 142], 'representative': 909323, 'size': 6}
  • id: 177420499
    {'aut_label': '8S1', 'centralizer': '6.F', 'counter': 145, 'group_counter': 13, 'group_order': 98304, 'label': '8S1', 'order': 8, 'powers': [30, 147], 'representative': 426269, 'size': 6}
  • id: 177420500
    {'aut_label': '8S1', 'centralizer': '6.F', 'counter': 146, 'group_counter': 13, 'group_order': 98304, 'label': '8S-1', 'order': 8, 'powers': [29, 148], 'representative': 164629, 'size': 6}
  • id: 177420501
    {'aut_label': '8S1', 'centralizer': '6.F', 'counter': 147, 'group_counter': 13, 'group_order': 98304, 'label': '8S3', 'order': 8, 'powers': [29, 145], 'representative': 688901, 'size': 6}
  • id: 177420502
    {'aut_label': '8S1', 'centralizer': '6.F', 'counter': 148, 'group_counter': 13, 'group_order': 98304, 'label': '8S-3', 'order': 8, 'powers': [30, 146], 'representative': 950541, 'size': 6}
  • id: 177420503
    {'aut_label': '8T1', 'centralizer': '6.J', 'counter': 149, 'group_counter': 13, 'group_order': 98304, 'label': '8T1', 'order': 8, 'powers': [30, 151], 'representative': 115475, 'size': 6}
  • id: 177420505
    {'aut_label': '8T1', 'centralizer': '6.J', 'counter': 150, 'group_counter': 13, 'group_order': 98304, 'label': '8T-1', 'order': 8, 'powers': [29, 152], 'representative': 377115, 'size': 6}
  • id: 177420506
    {'aut_label': '8T1', 'centralizer': '6.J', 'counter': 151, 'group_counter': 13, 'group_order': 98304, 'label': '8T3', 'order': 8, 'powers': [29, 149], 'representative': 901387, 'size': 6}
  • id: 177420507
    {'aut_label': '8T1', 'centralizer': '6.J', 'counter': 152, 'group_counter': 13, 'group_order': 98304, 'label': '8T-3', 'order': 8, 'powers': [30, 150], 'representative': 639747, 'size': 6}
  • id: 177420508
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 153, 'group_counter': 13, 'group_order': 98304, 'label': '8U1', 'order': 8, 'powers': [25, 155], 'representative': 176785, 'size': 8}
  • id: 177420509
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 154, 'group_counter': 13, 'group_order': 98304, 'label': '8U-1', 'order': 8, 'powers': [26, 156], 'representative': 955265, 'size': 8}
  • id: 177420510
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 155, 'group_counter': 13, 'group_order': 98304, 'label': '8U3', 'order': 8, 'powers': [26, 153], 'representative': 446849, 'size': 8}
  • id: 177420511
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 156, 'group_counter': 13, 'group_order': 98304, 'label': '8U-3', 'order': 8, 'powers': [25, 154], 'representative': 716945, 'size': 8}
  • id: 177420512
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 157, 'group_counter': 13, 'group_order': 98304, 'label': '8V1', 'order': 8, 'powers': [27, 159], 'representative': 979097, 'size': 8}
  • id: 177420513
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 158, 'group_counter': 13, 'group_order': 98304, 'label': '8V-1', 'order': 8, 'powers': [28, 160], 'representative': 184729, 'size': 8}
  • id: 177420514
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 159, 'group_counter': 13, 'group_order': 98304, 'label': '8V3', 'order': 8, 'powers': [28, 157], 'representative': 693145, 'size': 8}
  • id: 177420516
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 160, 'group_counter': 13, 'group_order': 98304, 'label': '8V-3', 'order': 8, 'powers': [27, 158], 'representative': 438937, 'size': 8}
  • id: 177420517
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 161, 'group_counter': 13, 'group_order': 98304, 'label': '8W1', 'order': 8, 'powers': [25, 163], 'representative': 504475, 'size': 8}
  • id: 177420518
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 162, 'group_counter': 13, 'group_order': 98304, 'label': '8W-1', 'order': 8, 'powers': [26, 164], 'representative': 1020803, 'size': 8}
  • id: 177420519
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 163, 'group_counter': 13, 'group_order': 98304, 'label': '8W3', 'order': 8, 'powers': [26, 161], 'representative': 1036691, 'size': 8}
  • id: 177420520
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 164, 'group_counter': 13, 'group_order': 98304, 'label': '8W-3', 'order': 8, 'powers': [25, 162], 'representative': 520331, 'size': 8}
  • id: 177420521
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 165, 'group_counter': 13, 'group_order': 98304, 'label': '8X1', 'order': 8, 'powers': [25, 167], 'representative': 701057, 'size': 8}
  • id: 177420522
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 166, 'group_counter': 13, 'group_order': 98304, 'label': '8X-1', 'order': 8, 'powers': [26, 168], 'representative': 430993, 'size': 8}
  • id: 177420523
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 167, 'group_counter': 13, 'group_order': 98304, 'label': '8X3', 'order': 8, 'powers': [26, 165], 'representative': 971153, 'size': 8}
  • id: 177420524
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 168, 'group_counter': 13, 'group_order': 98304, 'label': '8X-3', 'order': 8, 'powers': [25, 166], 'representative': 192641, 'size': 8}
  • id: 177420525
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 169, 'group_counter': 13, 'group_order': 98304, 'label': '8Y1', 'order': 8, 'powers': [27, 171], 'representative': 454793, 'size': 8}
  • id: 177420527
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 170, 'group_counter': 13, 'group_order': 98304, 'label': '8Y-1', 'order': 8, 'powers': [28, 172], 'representative': 709001, 'size': 8}
  • id: 177420528
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 171, 'group_counter': 13, 'group_order': 98304, 'label': '8Y3', 'order': 8, 'powers': [28, 169], 'representative': 168841, 'size': 8}
  • id: 177420529
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 172, 'group_counter': 13, 'group_order': 98304, 'label': '8Y-3', 'order': 8, 'powers': [27, 170], 'representative': 963209, 'size': 8}
  • id: 177420530
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 173, 'group_counter': 13, 'group_order': 98304, 'label': '8Z1', 'order': 8, 'powers': [25, 175], 'representative': 1028747, 'size': 8}
  • id: 177420531
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 174, 'group_counter': 13, 'group_order': 98304, 'label': '8Z-1', 'order': 8, 'powers': [26, 176], 'representative': 496531, 'size': 8}
  • id: 177420532
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 175, 'group_counter': 13, 'group_order': 98304, 'label': '8Z3', 'order': 8, 'powers': [26, 173], 'representative': 512387, 'size': 8}
  • id: 177420533
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 176, 'group_counter': 13, 'group_order': 98304, 'label': '8Z-3', 'order': 8, 'powers': [25, 174], 'representative': 1044635, 'size': 8}
  • id: 177420534
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 177, 'group_counter': 13, 'group_order': 98304, 'label': '8AA1', 'order': 8, 'powers': [27, 179], 'representative': 103303, 'size': 8}
  • id: 177420535
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 178, 'group_counter': 13, 'group_order': 98304, 'label': '8AA-1', 'order': 8, 'powers': [28, 180], 'representative': 897671, 'size': 8}
  • id: 177420536
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 179, 'group_counter': 13, 'group_order': 98304, 'label': '8AA3', 'order': 8, 'powers': [28, 177], 'representative': 389255, 'size': 8}
  • id: 177420538
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 180, 'group_counter': 13, 'group_order': 98304, 'label': '8AA-3', 'order': 8, 'powers': [27, 178], 'representative': 643463, 'size': 8}
  • id: 177420539
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 181, 'group_counter': 13, 'group_order': 98304, 'label': '8AB1', 'order': 8, 'powers': [27, 183], 'representative': 782483, 'size': 8}
  • id: 177420540
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 182, 'group_counter': 13, 'group_order': 98304, 'label': '8AB-1', 'order': 8, 'powers': [28, 184], 'representative': 774539, 'size': 8}
  • id: 177420541
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 183, 'group_counter': 13, 'group_order': 98304, 'label': '8AB3', 'order': 8, 'powers': [28, 181], 'representative': 758683, 'size': 8}
  • id: 177420542
    {'aut_label': '8U1', 'centralizer': '8.T', 'counter': 184, 'group_counter': 13, 'group_order': 98304, 'label': '8AB-3', 'order': 8, 'powers': [27, 182], 'representative': 766595, 'size': 8}
  • id: 177420543
    {'aut_label': '8AC1', 'centralizer': '12.A', 'counter': 185, 'group_counter': 13, 'group_order': 98304, 'label': '8AC1', 'order': 8, 'powers': [36, 186], 'representative': 950549, 'size': 12}
  • id: 177420544
    {'aut_label': '8AC1', 'centralizer': '12.A', 'counter': 186, 'group_counter': 13, 'group_order': 98304, 'label': '8AC3', 'order': 8, 'powers': [36, 185], 'representative': 966933, 'size': 12}
  • id: 177420545
    {'aut_label': '8AD1', 'centralizer': '12.A', 'counter': 187, 'group_counter': 13, 'group_order': 98304, 'label': '8AD1', 'order': 8, 'powers': [36, 188], 'representative': 164365, 'size': 12}
  • id: 177420546
    {'aut_label': '8AD1', 'centralizer': '12.A', 'counter': 188, 'group_counter': 13, 'group_order': 98304, 'label': '8AD3', 'order': 8, 'powers': [36, 187], 'representative': 951061, 'size': 12}
  • id: 177420547
    {'aut_label': '8AE1', 'centralizer': '12.A', 'counter': 189, 'group_counter': 13, 'group_order': 98304, 'label': '8AE1', 'order': 8, 'powers': [36, 190], 'representative': 901907, 'size': 12}
  • id: 177420549
    {'aut_label': '8AE1', 'centralizer': '12.A', 'counter': 190, 'group_counter': 13, 'group_order': 98304, 'label': '8AE3', 'order': 8, 'powers': [36, 189], 'representative': 622875, 'size': 12}
  • id: 177420550
    {'aut_label': '8AF1', 'centralizer': '12.A', 'counter': 191, 'group_counter': 13, 'group_order': 98304, 'label': '8AF1', 'order': 8, 'powers': [36, 192], 'representative': 639515, 'size': 12}
  • id: 177420551
    {'aut_label': '8AF1', 'centralizer': '12.A', 'counter': 192, 'group_counter': 13, 'group_order': 98304, 'label': '8AF3', 'order': 8, 'powers': [36, 191], 'representative': 360451, 'size': 12}
  • id: 177420552
    {'aut_label': '8AG1', 'centralizer': '12.A', 'counter': 193, 'group_counter': 13, 'group_order': 98304, 'label': '8AG1', 'order': 8, 'powers': [36, 193], 'representative': 443157, 'size': 12}
  • id: 177420553
    {'aut_label': '8AG1', 'centralizer': '12.A', 'counter': 194, 'group_counter': 13, 'group_order': 98304, 'label': '8AG-1', 'order': 8, 'powers': [36, 194], 'representative': 426773, 'size': 12}
  • id: 177420554
    {'aut_label': '8AH1', 'centralizer': '12.A', 'counter': 195, 'group_counter': 13, 'group_order': 98304, 'label': '8AH1', 'order': 8, 'powers': [36, 195], 'representative': 704525, 'size': 12}
  • id: 177420555
    {'aut_label': '8AH1', 'centralizer': '12.A', 'counter': 196, 'group_counter': 13, 'group_order': 98304, 'label': '8AH-1', 'order': 8, 'powers': [36, 196], 'representative': 442645, 'size': 12}
  • id: 177420556
    {'aut_label': '8AI1', 'centralizer': '12.A', 'counter': 197, 'group_counter': 13, 'group_order': 98304, 'label': '8AI1', 'order': 8, 'powers': [36, 197], 'representative': 360723, 'size': 12}
  • id: 177420557
    {'aut_label': '8AI1', 'centralizer': '12.A', 'counter': 198, 'group_counter': 13, 'group_order': 98304, 'label': '8AI-1', 'order': 8, 'powers': [36, 198], 'representative': 377107, 'size': 12}
  • id: 177420558
    {'aut_label': '8AJ1', 'centralizer': '12.A', 'counter': 199, 'group_counter': 13, 'group_order': 98304, 'label': '8AJ1', 'order': 8, 'powers': [36, 199], 'representative': 98331, 'size': 12}
  • id: 177420561
    {'aut_label': '8AJ1', 'centralizer': '12.A', 'counter': 200, 'group_counter': 13, 'group_order': 98304, 'label': '8AJ-1', 'order': 8, 'powers': [36, 200], 'representative': 368659, 'size': 12}
  • id: 177420562
    {'aut_label': '8AK1', 'centralizer': '12.A', 'counter': 201, 'group_counter': 13, 'group_order': 98304, 'label': '8AK1', 'order': 8, 'powers': [30, 202], 'representative': 123395, 'size': 12}
  • id: 177420563
    {'aut_label': '8AK1', 'centralizer': '12.A', 'counter': 202, 'group_counter': 13, 'group_order': 98304, 'label': '8AK-1', 'order': 8, 'powers': [29, 201], 'representative': 385547, 'size': 12}
  • id: 177420564
    {'aut_label': '8AL1', 'centralizer': '12.A', 'counter': 203, 'group_counter': 13, 'group_order': 98304, 'label': '8AL1', 'order': 8, 'powers': [30, 204], 'representative': 909579, 'size': 12}
  • id: 177420565
    {'aut_label': '8AL1', 'centralizer': '12.A', 'counter': 204, 'group_counter': 13, 'group_order': 98304, 'label': '8AL-1', 'order': 8, 'powers': [29, 203], 'representative': 123155, 'size': 12}
  • id: 177420566
    {'aut_label': '8AM1', 'centralizer': '12.A', 'counter': 205, 'group_counter': 13, 'group_order': 98304, 'label': '8AM1', 'order': 8, 'powers': [29, 206], 'representative': 172037, 'size': 12}
  • id: 177420567
    {'aut_label': '8AM1', 'centralizer': '12.A', 'counter': 206, 'group_counter': 13, 'group_order': 98304, 'label': '8AM-1', 'order': 8, 'powers': [30, 205], 'representative': 958493, 'size': 12}
  • id: 177420568
    {'aut_label': '8AN1', 'centralizer': '12.A', 'counter': 207, 'group_counter': 13, 'group_order': 98304, 'label': '8AN1', 'order': 8, 'powers': [29, 208], 'representative': 434461, 'size': 12}
  • id: 177420569
    {'aut_label': '8AN1', 'centralizer': '12.A', 'counter': 208, 'group_counter': 13, 'group_order': 98304, 'label': '8AN-1', 'order': 8, 'powers': [30, 207], 'representative': 172309, 'size': 12}
  • id: 177420570
    {'aut_label': '8AO', 'centralizer': '24.GF', 'counter': 209, 'group_counter': 13, 'group_order': 98304, 'label': '8AO', 'order': 8, 'powers': [37, 209], 'representative': 716829, 'size': 24}
  • id: 177420572
    {'aut_label': '8AP', 'centralizer': '24.GG', 'counter': 210, 'group_counter': 13, 'group_order': 98304, 'label': '8AP', 'order': 8, 'powers': [38, 210], 'representative': 848537, 'size': 24}
  • id: 177420573
    {'aut_label': '8AQ', 'centralizer': '24.GK', 'counter': 211, 'group_counter': 13, 'group_order': 98304, 'label': '8AQ', 'order': 8, 'powers': [38, 211], 'representative': 832153, 'size': 24}
  • id: 177420574
    {'aut_label': '8AR', 'centralizer': '24.GJ', 'counter': 212, 'group_counter': 13, 'group_order': 98304, 'label': '8AR', 'order': 8, 'powers': [37, 212], 'representative': 176669, 'size': 24}
  • id: 177420575
    {'aut_label': '8AS', 'centralizer': '24.FX', 'counter': 213, 'group_counter': 13, 'group_order': 98304, 'label': '8AS', 'order': 8, 'powers': [38, 213], 'representative': 307353, 'size': 24}
  • id: 177420576
    {'aut_label': '8AT', 'centralizer': '24.GJ', 'counter': 214, 'group_counter': 13, 'group_order': 98304, 'label': '8AT', 'order': 8, 'powers': [39, 214], 'representative': 963093, 'size': 24}
  • id: 177420577
    {'aut_label': '8AU', 'centralizer': '24.FX', 'counter': 215, 'group_counter': 13, 'group_order': 98304, 'label': '8AU', 'order': 8, 'powers': [40, 215], 'representative': 45201, 'size': 24}
  • id: 177420578
    {'aut_label': '8AV', 'centralizer': '24.CY', 'counter': 216, 'group_counter': 13, 'group_order': 98304, 'label': '8AV', 'order': 8, 'powers': [37, 216], 'representative': 192541, 'size': 24}
  • id: 177420579
    {'aut_label': '8AW', 'centralizer': '24.GI', 'counter': 217, 'group_counter': 13, 'group_order': 98304, 'label': '8AW', 'order': 8, 'powers': [38, 217], 'representative': 323737, 'size': 24}
  • id: 177420580
    {'aut_label': '8AX', 'centralizer': '24.CY', 'counter': 218, 'group_counter': 13, 'group_order': 98304, 'label': '8AX', 'order': 8, 'powers': [39, 218], 'representative': 978965, 'size': 24}
  • id: 177420581
    {'aut_label': '8AY', 'centralizer': '24.GI', 'counter': 219, 'group_counter': 13, 'group_order': 98304, 'label': '8AY', 'order': 8, 'powers': [40, 219], 'representative': 61585, 'size': 24}
  • id: 177420583
    {'aut_label': '8AZ', 'centralizer': '24.GH', 'counter': 220, 'group_counter': 13, 'group_order': 98304, 'label': '8AZ', 'order': 8, 'powers': [37, 220], 'representative': 365059, 'size': 24}
  • id: 177420584
    {'aut_label': '8BA', 'centralizer': '24.GK', 'counter': 221, 'group_counter': 13, 'group_order': 98304, 'label': '8BA', 'order': 8, 'powers': [38, 221], 'representative': 234375, 'size': 24}
  • id: 177420585
    {'aut_label': '8BB', 'centralizer': '24.GF', 'counter': 222, 'group_counter': 13, 'group_order': 98304, 'label': '8BB', 'order': 8, 'powers': [39, 222], 'representative': 454677, 'size': 24}
  • id: 177420586
    {'aut_label': '8BC', 'centralizer': '24.GG', 'counter': 223, 'group_counter': 13, 'group_order': 98304, 'label': '8BC', 'order': 8, 'powers': [40, 223], 'representative': 586385, 'size': 24}
  • id: 177420587
    {'aut_label': '8BD', 'centralizer': '24.CY', 'counter': 224, 'group_counter': 13, 'group_order': 98304, 'label': '8BD', 'order': 8, 'powers': [39, 224], 'representative': 118795, 'size': 24}
  • id: 177420588
    {'aut_label': '8BE', 'centralizer': '24.GI', 'counter': 225, 'group_counter': 13, 'group_order': 98304, 'label': '8BE', 'order': 8, 'powers': [40, 225], 'representative': 1036687, 'size': 24}
  • id: 177420589
    {'aut_label': '8BF', 'centralizer': '24.GF', 'counter': 226, 'group_counter': 13, 'group_order': 98304, 'label': '8BF', 'order': 8, 'powers': [37, 226], 'representative': 380931, 'size': 24}
  • id: 177420590
    {'aut_label': '8BG', 'centralizer': '24.GK', 'counter': 227, 'group_counter': 13, 'group_order': 98304, 'label': '8BG', 'order': 8, 'powers': [40, 227], 'representative': 570001, 'size': 24}
  • id: 177420591
    {'aut_label': '8BH', 'centralizer': '24.CY', 'counter': 228, 'group_counter': 13, 'group_order': 98304, 'label': '8BH', 'order': 8, 'powers': [37, 228], 'representative': 905219, 'size': 24}
  • id: 177420592
    {'aut_label': '8BI', 'centralizer': '24.GI', 'counter': 229, 'group_counter': 13, 'group_order': 98304, 'label': '8BI', 'order': 8, 'powers': [38, 229], 'representative': 774535, 'size': 24}
  • id: 177420594
    {'aut_label': '8BJ', 'centralizer': '24.GJ', 'counter': 230, 'group_counter': 13, 'group_order': 98304, 'label': '8BJ', 'order': 8, 'powers': [39, 230], 'representative': 102923, 'size': 24}
  • id: 177420595
    {'aut_label': '8BK', 'centralizer': '24.FX', 'counter': 231, 'group_counter': 13, 'group_order': 98304, 'label': '8BK', 'order': 8, 'powers': [40, 231], 'representative': 1020303, 'size': 24}
  • id: 177420596
    {'aut_label': '8BL', 'centralizer': '24.GH', 'counter': 232, 'group_counter': 13, 'group_order': 98304, 'label': '8BL', 'order': 8, 'powers': [39, 232], 'representative': 627211, 'size': 24}
  • id: 177420597
    {'aut_label': '8BM', 'centralizer': '24.GK', 'counter': 233, 'group_counter': 13, 'group_order': 98304, 'label': '8BM', 'order': 8, 'powers': [40, 233], 'representative': 496527, 'size': 24}
  • id: 177420598
    {'aut_label': '8BN', 'centralizer': '24.GJ', 'counter': 234, 'group_counter': 13, 'group_order': 98304, 'label': '8BN', 'order': 8, 'powers': [37, 234], 'representative': 889347, 'size': 24}
  • id: 177420599
    {'aut_label': '8BO', 'centralizer': '24.FX', 'counter': 235, 'group_counter': 13, 'group_order': 98304, 'label': '8BO', 'order': 8, 'powers': [38, 235], 'representative': 758151, 'size': 24}
  • id: 177420600
    {'aut_label': '8BP', 'centralizer': '24.GF', 'counter': 236, 'group_counter': 13, 'group_order': 98304, 'label': '8BP', 'order': 8, 'powers': [39, 236], 'representative': 643083, 'size': 24}
  • id: 177420601
    {'aut_label': '8BQ', 'centralizer': '24.GG', 'counter': 237, 'group_counter': 13, 'group_order': 98304, 'label': '8BQ', 'order': 8, 'powers': [38, 237], 'representative': 123787, 'size': 24}
  • id: 177420602
    {'aut_label': '8BR', 'centralizer': '24.GH', 'counter': 238, 'group_counter': 13, 'group_order': 98304, 'label': '8BR', 'order': 8, 'powers': [37, 238], 'representative': 180877, 'size': 24}
  • id: 177420603
    {'aut_label': '8BS', 'centralizer': '24.GH', 'counter': 239, 'group_counter': 13, 'group_order': 98304, 'label': '8BS', 'order': 8, 'powers': [39, 239], 'representative': 967301, 'size': 24}
  • id: 177420605
    {'aut_label': '8BT', 'centralizer': '24.GG', 'counter': 240, 'group_counter': 13, 'group_order': 98304, 'label': '8BT', 'order': 8, 'powers': [40, 240], 'representative': 503951, 'size': 24}
  • id: 177420606
    {'aut_label': '8BU1', 'centralizer': '24.GH', 'counter': 241, 'group_counter': 13, 'group_order': 98304, 'label': '8BU1', 'order': 8, 'powers': [49, 242], 'representative': 45577, 'size': 24}
  • id: 177420607
    {'aut_label': '8BU1', 'centralizer': '24.GH', 'counter': 242, 'group_counter': 13, 'group_order': 98304, 'label': '8BU-1', 'order': 8, 'powers': [50, 241], 'representative': 832001, 'size': 24}
  • id: 177420608
    {'aut_label': '8BV1', 'centralizer': '24.GK', 'counter': 243, 'group_counter': 13, 'group_order': 98304, 'label': '8BV1', 'order': 8, 'powers': [51, 244], 'representative': 701077, 'size': 24}
  • id: 177420609
    {'aut_label': '8BV1', 'centralizer': '24.GK', 'counter': 244, 'group_counter': 13, 'group_order': 98304, 'label': '8BV-1', 'order': 8, 'powers': [52, 243], 'representative': 438925, 'size': 24}
  • id: 177420610
    {'aut_label': '8BW1', 'centralizer': '24.GJ', 'counter': 245, 'group_counter': 13, 'group_order': 98304, 'label': '8BW1', 'order': 8, 'powers': [50, 246], 'representative': 758303, 'size': 24}
  • id: 177420611
    {'aut_label': '8BW1', 'centralizer': '24.GJ', 'counter': 246, 'group_counter': 13, 'group_order': 98304, 'label': '8BW-1', 'order': 8, 'powers': [49, 245], 'representative': 1020423, 'size': 24}
  • id: 177420612
    {'aut_label': '8BX1', 'centralizer': '24.FX', 'counter': 247, 'group_counter': 13, 'group_order': 98304, 'label': '8BX1', 'order': 8, 'powers': [52, 248], 'representative': 102803, 'size': 24}
  • id: 177420613
    {'aut_label': '8BX1', 'centralizer': '24.FX', 'counter': 248, 'group_counter': 13, 'group_order': 98304, 'label': '8BX-1', 'order': 8, 'powers': [51, 247], 'representative': 364955, 'size': 24}
  • id: 177420614
    {'aut_label': '8BY1', 'centralizer': '24.GG', 'counter': 249, 'group_counter': 13, 'group_order': 98304, 'label': '8BY1', 'order': 8, 'powers': [51, 250], 'representative': 717461, 'size': 24}
  • id: 177420616
    {'aut_label': '8BY1', 'centralizer': '24.GG', 'counter': 250, 'group_counter': 13, 'group_order': 98304, 'label': '8BY-1', 'order': 8, 'powers': [52, 249], 'representative': 455309, 'size': 24}
  • id: 177420617
    {'aut_label': '8BZ1', 'centralizer': '24.CY', 'counter': 251, 'group_counter': 13, 'group_order': 98304, 'label': '8BZ1', 'order': 8, 'powers': [49, 252], 'representative': 585737, 'size': 24}
  • id: 177420618
    {'aut_label': '8BZ1', 'centralizer': '24.CY', 'counter': 252, 'group_counter': 13, 'group_order': 98304, 'label': '8BZ-1', 'order': 8, 'powers': [50, 251], 'representative': 323585, 'size': 24}
  • id: 177420619
    {'aut_label': '8CA1', 'centralizer': '24.GI', 'counter': 253, 'group_counter': 13, 'group_order': 98304, 'label': '8CA1', 'order': 8, 'powers': [51, 254], 'representative': 192661, 'size': 24}
  • id: 177420620
    {'aut_label': '8CA1', 'centralizer': '24.GI', 'counter': 254, 'group_counter': 13, 'group_order': 98304, 'label': '8CA-1', 'order': 8, 'powers': [52, 253], 'representative': 979085, 'size': 24}
  • id: 177420621
    {'aut_label': '8CB1', 'centralizer': '24.GF', 'counter': 255, 'group_counter': 13, 'group_order': 98304, 'label': '8CB1', 'order': 8, 'powers': [49, 256], 'representative': 512007, 'size': 24}
  • id: 177420622
    {'aut_label': '8CB1', 'centralizer': '24.GF', 'counter': 256, 'group_counter': 13, 'group_order': 98304, 'label': '8CB-1', 'order': 8, 'powers': [50, 255], 'representative': 249887, 'size': 24}
  • id: 177420623
    {'aut_label': '8CC1', 'centralizer': '24.GG', 'counter': 257, 'group_counter': 13, 'group_order': 98304, 'label': '8CC1', 'order': 8, 'powers': [51, 258], 'representative': 906139, 'size': 24}
  • id: 177420624
    {'aut_label': '8CC1', 'centralizer': '24.GG', 'counter': 258, 'group_counter': 13, 'group_order': 98304, 'label': '8CC-1', 'order': 8, 'powers': [52, 257], 'representative': 643987, 'size': 24}
  • id: 177420625
    {'aut_label': '8CD1', 'centralizer': '24.CY', 'counter': 259, 'group_counter': 13, 'group_order': 98304, 'label': '8CD1', 'order': 8, 'powers': [50, 260], 'representative': 774175, 'size': 24}
  • id: 177420627
    {'aut_label': '8CD1', 'centralizer': '24.CY', 'counter': 260, 'group_counter': 13, 'group_order': 98304, 'label': '8CD-1', 'order': 8, 'powers': [49, 259], 'representative': 1036295, 'size': 24}
  • id: 177420628
    {'aut_label': '8CE1', 'centralizer': '24.GI', 'counter': 261, 'group_counter': 13, 'group_order': 98304, 'label': '8CE1', 'order': 8, 'powers': [52, 262], 'representative': 119187, 'size': 24}
  • id: 177420629
    {'aut_label': '8CE1', 'centralizer': '24.GI', 'counter': 262, 'group_counter': 13, 'group_order': 98304, 'label': '8CE-1', 'order': 8, 'powers': [51, 261], 'representative': 381339, 'size': 24}
  • id: 177420630
    {'aut_label': '8CF1', 'centralizer': '24.GJ', 'counter': 263, 'group_counter': 13, 'group_order': 98304, 'label': '8CF1', 'order': 8, 'powers': [49, 264], 'representative': 569865, 'size': 24}
  • id: 177420631
    {'aut_label': '8CF1', 'centralizer': '24.GJ', 'counter': 264, 'group_counter': 13, 'group_order': 98304, 'label': '8CF-1', 'order': 8, 'powers': [50, 263], 'representative': 307713, 'size': 24}
  • id: 177420632
    {'aut_label': '8CG1', 'centralizer': '24.FX', 'counter': 265, 'group_counter': 13, 'group_order': 98304, 'label': '8CG1', 'order': 8, 'powers': [51, 266], 'representative': 176277, 'size': 24}
  • id: 177420633
    {'aut_label': '8CG1', 'centralizer': '24.FX', 'counter': 266, 'group_counter': 13, 'group_order': 98304, 'label': '8CG-1', 'order': 8, 'powers': [52, 265], 'representative': 962701, 'size': 24}
  • id: 177420634
    {'aut_label': '8CH1', 'centralizer': '24.GH', 'counter': 267, 'group_counter': 13, 'group_order': 98304, 'label': '8CH1', 'order': 8, 'powers': [49, 268], 'representative': 496135, 'size': 24}
  • id: 177420635
    {'aut_label': '8CH1', 'centralizer': '24.GH', 'counter': 268, 'group_counter': 13, 'group_order': 98304, 'label': '8CH-1', 'order': 8, 'powers': [50, 267], 'representative': 234015, 'size': 24}
  • id: 177420636
    {'aut_label': '8CI1', 'centralizer': '24.GK', 'counter': 269, 'group_counter': 13, 'group_order': 98304, 'label': '8CI1', 'order': 8, 'powers': [51, 270], 'representative': 1028375, 'size': 24}
  • id: 177420638
    {'aut_label': '8CI1', 'centralizer': '24.GK', 'counter': 270, 'group_counter': 13, 'group_order': 98304, 'label': '8CI-1', 'order': 8, 'powers': [52, 269], 'representative': 1037063, 'size': 24}
  • id: 177420639
    {'aut_label': '8CJ1', 'centralizer': '24.GF', 'counter': 271, 'group_counter': 13, 'group_order': 98304, 'label': '8CJ1', 'order': 8, 'powers': [50, 272], 'representative': 831489, 'size': 24}
  • id: 177420640
    {'aut_label': '8CJ1', 'centralizer': '24.GF', 'counter': 272, 'group_counter': 13, 'group_order': 98304, 'label': '8CJ-1', 'order': 8, 'powers': [49, 271], 'representative': 315393, 'size': 24}
  • id: 177420641
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 273, 'group_counter': 13, 'group_order': 98304, 'label': '8CK1', 'order': 8, 'powers': [53, 275], 'representative': 700825, 'size': 24}
  • id: 177420642
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 274, 'group_counter': 13, 'group_order': 98304, 'label': '8CK-1', 'order': 8, 'powers': [54, 276], 'representative': 970889, 'size': 24}
  • id: 177420643
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 275, 'group_counter': 13, 'group_order': 98304, 'label': '8CK3', 'order': 8, 'powers': [54, 273], 'representative': 430729, 'size': 24}
  • id: 177420644
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 276, 'group_counter': 13, 'group_order': 98304, 'label': '8CK-3', 'order': 8, 'powers': [53, 274], 'representative': 193433, 'size': 24}
  • id: 177420645
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 277, 'group_counter': 13, 'group_order': 98304, 'label': '8CL1', 'order': 8, 'powers': [53, 279], 'representative': 717209, 'size': 24}
  • id: 177420646
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 278, 'group_counter': 13, 'group_order': 98304, 'label': '8CL-1', 'order': 8, 'powers': [54, 280], 'representative': 954505, 'size': 24}
  • id: 177420647
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 279, 'group_counter': 13, 'group_order': 98304, 'label': '8CL3', 'order': 8, 'powers': [54, 277], 'representative': 447113, 'size': 24}
  • id: 177420649
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 280, 'group_counter': 13, 'group_order': 98304, 'label': '8CL-3', 'order': 8, 'powers': [53, 278], 'representative': 177049, 'size': 24}
  • id: 177420650
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 281, 'group_counter': 13, 'group_order': 98304, 'label': '8CM1', 'order': 8, 'powers': [55, 283], 'representative': 979857, 'size': 24}
  • id: 177420651
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 282, 'group_counter': 13, 'group_order': 98304, 'label': '8CM-1', 'order': 8, 'powers': [56, 284], 'representative': 570261, 'size': 24}
  • id: 177420652
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 283, 'group_counter': 13, 'group_order': 98304, 'label': '8CM3', 'order': 8, 'powers': [56, 281], 'representative': 45461, 'size': 24}
  • id: 177420653
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 284, 'group_counter': 13, 'group_order': 98304, 'label': '8CM-3', 'order': 8, 'powers': [55, 282], 'representative': 438673, 'size': 24}
  • id: 177420654
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 285, 'group_counter': 13, 'group_order': 98304, 'label': '8CN1', 'order': 8, 'powers': [55, 287], 'representative': 504707, 'size': 24}
  • id: 177420655
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 286, 'group_counter': 13, 'group_order': 98304, 'label': '8CN-1', 'order': 8, 'powers': [56, 288], 'representative': 1020571, 'size': 24}
  • id: 177420656
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 287, 'group_counter': 13, 'group_order': 98304, 'label': '8CN3', 'order': 8, 'powers': [56, 285], 'representative': 495771, 'size': 24}
  • id: 177420657
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 288, 'group_counter': 13, 'group_order': 98304, 'label': '8CN-3', 'order': 8, 'powers': [55, 286], 'representative': 1028483, 'size': 24}
  • id: 177420658
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 289, 'group_counter': 13, 'group_order': 98304, 'label': '8CO1', 'order': 8, 'powers': [56, 291], 'representative': 61845, 'size': 24}
  • id: 177420660
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 290, 'group_counter': 13, 'group_order': 98304, 'label': '8CO-1', 'order': 8, 'powers': [55, 292], 'representative': 455057, 'size': 24}
  • id: 177420661
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 291, 'group_counter': 13, 'group_order': 98304, 'label': '8CO3', 'order': 8, 'powers': [55, 289], 'representative': 963473, 'size': 24}
  • id: 177420662
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 292, 'group_counter': 13, 'group_order': 98304, 'label': '8CO-3', 'order': 8, 'powers': [56, 290], 'representative': 168577, 'size': 24}
  • id: 177420663
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 293, 'group_counter': 13, 'group_order': 98304, 'label': '8CP1', 'order': 8, 'powers': [53, 295], 'representative': 258443, 'size': 24}
  • id: 177420664
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 294, 'group_counter': 13, 'group_order': 98304, 'label': '8CP-1', 'order': 8, 'powers': [54, 296], 'representative': 250003, 'size': 24}
  • id: 177420665
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 295, 'group_counter': 13, 'group_order': 98304, 'label': '8CP3', 'order': 8, 'powers': [54, 293], 'representative': 774803, 'size': 24}
  • id: 177420666
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 296, 'group_counter': 13, 'group_order': 98304, 'label': '8CP-3', 'order': 8, 'powers': [53, 294], 'representative': 889479, 'size': 24}
  • id: 177420667
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 297, 'group_counter': 13, 'group_order': 98304, 'label': '8CQ1', 'order': 8, 'powers': [55, 299], 'representative': 521091, 'size': 24}
  • id: 177420668
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 298, 'group_counter': 13, 'group_order': 98304, 'label': '8CQ-1', 'order': 8, 'powers': [56, 300], 'representative': 1036955, 'size': 24}
  • id: 177420669
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 299, 'group_counter': 13, 'group_order': 98304, 'label': '8CQ3', 'order': 8, 'powers': [56, 297], 'representative': 512155, 'size': 24}
  • id: 177420672
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 300, 'group_counter': 13, 'group_order': 98304, 'label': '8CQ-3', 'order': 8, 'powers': [55, 298], 'representative': 1044867, 'size': 24}
  • id: 177420673
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 301, 'group_counter': 13, 'group_order': 98304, 'label': '8CR1', 'order': 8, 'powers': [53, 303], 'representative': 242059, 'size': 24}
  • id: 177420674
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 302, 'group_counter': 13, 'group_order': 98304, 'label': '8CR-1', 'order': 8, 'powers': [54, 304], 'representative': 233619, 'size': 24}
  • id: 177420675
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 303, 'group_counter': 13, 'group_order': 98304, 'label': '8CR3', 'order': 8, 'powers': [54, 301], 'representative': 758419, 'size': 24}
  • id: 177420676
    {'aut_label': '8CK1', 'centralizer': '24.FZ', 'counter': 304, 'group_counter': 13, 'group_order': 98304, 'label': '8CR-3', 'order': 8, 'powers': [53, 302], 'representative': 766859, 'size': 24}
  • id: 177420677
    {'aut_label': '8CS', 'centralizer': None, 'counter': 305, 'group_counter': 13, 'group_order': 98304, 'label': '8CS', 'order': 8, 'powers': [63, 305], 'representative': 315673, 'size': 48}
  • id: 177420678
    {'aut_label': '8CT', 'centralizer': None, 'counter': 306, 'group_counter': 13, 'group_order': 98304, 'label': '8CT', 'order': 8, 'powers': [64, 306], 'representative': 971141, 'size': 48}
  • id: 177420679
    {'aut_label': '8CU', 'centralizer': None, 'counter': 307, 'group_counter': 13, 'group_order': 98304, 'label': '8CU', 'order': 8, 'powers': [63, 307], 'representative': 520975, 'size': 48}
  • id: 177420680
    {'aut_label': '8CV', 'centralizer': None, 'counter': 308, 'group_counter': 13, 'group_order': 98304, 'label': '8CV', 'order': 8, 'powers': [64, 308], 'representative': 914051, 'size': 48}
  • id: 177420681
    {'aut_label': '8CW', 'centralizer': None, 'counter': 309, 'group_counter': 13, 'group_order': 98304, 'label': '8CW', 'order': 8, 'powers': [63, 309], 'representative': 299801, 'size': 48}
  • id: 177420683
    {'aut_label': '8CX', 'centralizer': None, 'counter': 310, 'group_counter': 13, 'group_order': 98304, 'label': '8CX', 'order': 8, 'powers': [64, 310], 'representative': 954757, 'size': 48}
  • id: 177420684
    {'aut_label': '8CY', 'centralizer': None, 'counter': 311, 'group_counter': 13, 'group_order': 98304, 'label': '8CY', 'order': 8, 'powers': [63, 311], 'representative': 824089, 'size': 48}
  • id: 177420685
    {'aut_label': '8CZ', 'centralizer': None, 'counter': 312, 'group_counter': 13, 'group_order': 98304, 'label': '8CZ', 'order': 8, 'powers': [64, 312], 'representative': 430981, 'size': 48}
  • id: 177420686
    {'aut_label': '8DA', 'centralizer': None, 'counter': 313, 'group_counter': 13, 'group_order': 98304, 'label': '8DA', 'order': 8, 'powers': [63, 313], 'representative': 504079, 'size': 48}
  • id: 177420687
    {'aut_label': '8DB', 'centralizer': None, 'counter': 314, 'group_counter': 13, 'group_order': 98304, 'label': '8DB', 'order': 8, 'powers': [64, 314], 'representative': 897667, 'size': 48}
  • id: 177420688
    {'aut_label': '8DC', 'centralizer': None, 'counter': 315, 'group_counter': 13, 'group_order': 98304, 'label': '8DC', 'order': 8, 'powers': [63, 315], 'representative': 1028367, 'size': 48}
  • id: 177420689
    {'aut_label': '8DD', 'centralizer': None, 'counter': 316, 'group_counter': 13, 'group_order': 98304, 'label': '8DD', 'order': 8, 'powers': [64, 316], 'representative': 372867, 'size': 48}
  • id: 177420690
    {'aut_label': '8DE', 'centralizer': None, 'counter': 317, 'group_counter': 13, 'group_order': 98304, 'label': '8DE', 'order': 8, 'powers': [63, 317], 'representative': 839961, 'size': 48}
  • id: 177420691
    {'aut_label': '8DF', 'centralizer': None, 'counter': 318, 'group_counter': 13, 'group_order': 98304, 'label': '8DF', 'order': 8, 'powers': [64, 318], 'representative': 447365, 'size': 48}
  • id: 177420692
    {'aut_label': '8DG', 'centralizer': None, 'counter': 319, 'group_counter': 13, 'group_order': 98304, 'label': '8DG', 'order': 8, 'powers': [63, 319], 'representative': 1045263, 'size': 48}
  • id: 177420694
    {'aut_label': '8DH', 'centralizer': None, 'counter': 320, 'group_counter': 13, 'group_order': 98304, 'label': '8DH', 'order': 8, 'powers': [64, 320], 'representative': 389251, 'size': 48}
  • id: 177420695
    {'aut_label': '8DI1', 'centralizer': None, 'counter': 321, 'group_counter': 13, 'group_order': 98304, 'label': '8DI1', 'order': 8, 'powers': [65, 322], 'representative': 446733, 'size': 48}
  • id: 177420696
    {'aut_label': '8DI1', 'centralizer': None, 'counter': 322, 'group_counter': 13, 'group_order': 98304, 'label': '8DI-1', 'order': 8, 'powers': [65, 321], 'representative': 955149, 'size': 48}
  • id: 177420697
    {'aut_label': '8DJ1', 'centralizer': None, 'counter': 323, 'group_counter': 13, 'group_order': 98304, 'label': '8DJ1', 'order': 8, 'powers': [66, 324], 'representative': 578441, 'size': 48}
  • id: 177420698
    {'aut_label': '8DJ1', 'centralizer': None, 'counter': 324, 'group_counter': 13, 'group_order': 98304, 'label': '8DJ-1', 'order': 8, 'powers': [66, 323], 'representative': 37257, 'size': 48}
  • id: 177420699
    {'aut_label': '8DK1', 'centralizer': None, 'counter': 325, 'group_counter': 13, 'group_order': 98304, 'label': '8DK1', 'order': 8, 'powers': [65, 326], 'representative': 430861, 'size': 48}
  • id: 177420700
    {'aut_label': '8DK1', 'centralizer': None, 'counter': 326, 'group_counter': 13, 'group_order': 98304, 'label': '8DK-1', 'order': 8, 'powers': [65, 325], 'representative': 971021, 'size': 48}
  • id: 177420701
    {'aut_label': '8DL1', 'centralizer': None, 'counter': 327, 'group_counter': 13, 'group_order': 98304, 'label': '8DL1', 'order': 8, 'powers': [66, 328], 'representative': 562057, 'size': 48}
  • id: 177420702
    {'aut_label': '8DL1', 'centralizer': None, 'counter': 328, 'group_counter': 13, 'group_order': 98304, 'label': '8DL-1', 'order': 8, 'powers': [66, 327], 'representative': 53641, 'size': 48}
  • id: 177420703
    {'aut_label': '8DM1', 'centralizer': None, 'counter': 329, 'group_counter': 13, 'group_order': 98304, 'label': '8DM1', 'order': 8, 'powers': [65, 330], 'representative': 635155, 'size': 48}
  • id: 177420705
    {'aut_label': '8DM1', 'centralizer': None, 'counter': 330, 'group_counter': 13, 'group_order': 98304, 'label': '8DM-1', 'order': 8, 'powers': [65, 329], 'representative': 127763, 'size': 48}
  • id: 177420706
    {'aut_label': '8DN1', 'centralizer': None, 'counter': 331, 'group_counter': 13, 'group_order': 98304, 'label': '8DN1', 'order': 8, 'powers': [66, 332], 'representative': 504471, 'size': 48}
  • id: 177420707
    {'aut_label': '8DN1', 'centralizer': None, 'counter': 332, 'group_counter': 13, 'group_order': 98304, 'label': '8DN-1', 'order': 8, 'powers': [66, 331], 'representative': 1044631, 'size': 48}
  • id: 177420708
    {'aut_label': '8DO1', 'centralizer': None, 'counter': 333, 'group_counter': 13, 'group_order': 98304, 'label': '8DO1', 'order': 8, 'powers': [65, 334], 'representative': 652051, 'size': 48}
  • id: 177420709
    {'aut_label': '8DO1', 'centralizer': None, 'counter': 334, 'group_counter': 13, 'group_order': 98304, 'label': '8DO-1', 'order': 8, 'powers': [65, 333], 'representative': 110867, 'size': 48}
  • id: 177420710
    {'aut_label': '8DP1', 'centralizer': None, 'counter': 335, 'group_counter': 13, 'group_order': 98304, 'label': '8DP1', 'order': 8, 'powers': [66, 336], 'representative': 520855, 'size': 48}
  • id: 177420711
    {'aut_label': '8DP1', 'centralizer': None, 'counter': 336, 'group_counter': 13, 'group_order': 98304, 'label': '8DP-1', 'order': 8, 'powers': [66, 335], 'representative': 1028247, 'size': 48}
  • id: 177420712
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 337, 'group_counter': 13, 'group_order': 98304, 'label': '8DQ1', 'order': 8, 'powers': [75, 339], 'representative': 50077, 'size': 48}
  • id: 177420713
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 338, 'group_counter': 13, 'group_order': 98304, 'label': '8DQ-1', 'order': 8, 'powers': [76, 340], 'representative': 303757, 'size': 48}
  • id: 177420714
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 339, 'group_counter': 13, 'group_order': 98304, 'label': '8DQ3', 'order': 8, 'powers': [76, 337], 'representative': 843917, 'size': 48}
  • id: 177420716
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 340, 'group_counter': 13, 'group_order': 98304, 'label': '8DQ-3', 'order': 8, 'powers': [75, 338], 'representative': 557469, 'size': 48}
  • id: 177420717
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 341, 'group_counter': 13, 'group_order': 98304, 'label': '8DR1', 'order': 8, 'powers': [77, 343], 'representative': 163865, 'size': 48}
  • id: 177420718
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 342, 'group_counter': 13, 'group_order': 98304, 'label': '8DR-1', 'order': 8, 'powers': [78, 344], 'representative': 975641, 'size': 48}
  • id: 177420719
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 343, 'group_counter': 13, 'group_order': 98304, 'label': '8DR3', 'order': 8, 'powers': [78, 341], 'representative': 434457, 'size': 48}
  • id: 177420720
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 344, 'group_counter': 13, 'group_order': 98304, 'label': '8DR-3', 'order': 8, 'powers': [77, 342], 'representative': 705049, 'size': 48}
  • id: 177420721
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 345, 'group_counter': 13, 'group_order': 98304, 'label': '8DS1', 'order': 8, 'powers': [75, 347], 'representative': 33693, 'size': 48}
  • id: 177420722
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 346, 'group_counter': 13, 'group_order': 98304, 'label': '8DS-1', 'order': 8, 'powers': [76, 348], 'representative': 320141, 'size': 48}
  • id: 177420723
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 347, 'group_counter': 13, 'group_order': 98304, 'label': '8DS3', 'order': 8, 'powers': [76, 345], 'representative': 827533, 'size': 48}
  • id: 177420724
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 348, 'group_counter': 13, 'group_order': 98304, 'label': '8DS-3', 'order': 8, 'powers': [75, 346], 'representative': 573853, 'size': 48}
  • id: 177420725
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 349, 'group_counter': 13, 'group_order': 98304, 'label': '8DT1', 'order': 8, 'powers': [77, 351], 'representative': 704521, 'size': 48}
  • id: 177420727
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 350, 'group_counter': 13, 'group_order': 98304, 'label': '8DT-1', 'order': 8, 'powers': [78, 352], 'representative': 434953, 'size': 48}
  • id: 177420728
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 351, 'group_counter': 13, 'group_order': 98304, 'label': '8DT3', 'order': 8, 'powers': [78, 349], 'representative': 975113, 'size': 48}
  • id: 177420729
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 352, 'group_counter': 13, 'group_order': 98304, 'label': '8DT-3', 'order': 8, 'powers': [77, 350], 'representative': 164361, 'size': 48}
  • id: 177420730
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 353, 'group_counter': 13, 'group_order': 98304, 'label': '8DU1', 'order': 8, 'powers': [79, 355], 'representative': 295317, 'size': 48}
  • id: 177420731
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 354, 'group_counter': 13, 'group_order': 98304, 'label': '8DU-1', 'order': 8, 'powers': [80, 356], 'representative': 565381, 'size': 48}
  • id: 177420732
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 355, 'group_counter': 13, 'group_order': 98304, 'label': '8DU3', 'order': 8, 'powers': [80, 353], 'representative': 967561, 'size': 48}
  • id: 177420733
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 356, 'group_counter': 13, 'group_order': 98304, 'label': '8DU-3', 'order': 8, 'powers': [79, 354], 'representative': 836501, 'size': 48}
  • id: 177420734
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 357, 'group_counter': 13, 'group_order': 98304, 'label': '8DV1', 'order': 8, 'powers': [81, 359], 'representative': 442897, 'size': 48}
  • id: 177420735
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 358, 'group_counter': 13, 'group_order': 98304, 'label': '8DV-1', 'order': 8, 'powers': [82, 360], 'representative': 712961, 'size': 48}
  • id: 177420736
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 359, 'group_counter': 13, 'group_order': 98304, 'label': '8DV3', 'order': 8, 'powers': [82, 357], 'representative': 557589, 'size': 48}
  • id: 177420738
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 360, 'group_counter': 13, 'group_order': 98304, 'label': '8DV-3', 'order': 8, 'powers': [81, 358], 'representative': 950289, 'size': 48}
  • id: 177420739
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 361, 'group_counter': 13, 'group_order': 98304, 'label': '8DW1', 'order': 8, 'powers': [79, 363], 'representative': 647567, 'size': 48}
  • id: 177420740
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 362, 'group_counter': 13, 'group_order': 98304, 'label': '8DW-1', 'order': 8, 'powers': [80, 364], 'representative': 98439, 'size': 48}
  • id: 177420741
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 363, 'group_counter': 13, 'group_order': 98304, 'label': '8DW3', 'order': 8, 'powers': [80, 361], 'representative': 623239, 'size': 48}
  • id: 177420742
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 364, 'group_counter': 13, 'group_order': 98304, 'label': '8DW-3', 'order': 8, 'powers': [79, 362], 'representative': 123791, 'size': 48}
  • id: 177420743
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 365, 'group_counter': 13, 'group_order': 98304, 'label': '8DX1', 'order': 8, 'powers': [81, 367], 'representative': 1024771, 'size': 48}
  • id: 177420744
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 366, 'group_counter': 13, 'group_order': 98304, 'label': '8DX-1', 'order': 8, 'powers': [82, 368], 'representative': 508443, 'size': 48}
  • id: 177420745
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 367, 'group_counter': 13, 'group_order': 98304, 'label': '8DX3', 'order': 8, 'powers': [82, 365], 'representative': 507915, 'size': 48}
  • id: 177420746
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 368, 'group_counter': 13, 'group_order': 98304, 'label': '8DX-3', 'order': 8, 'powers': [81, 366], 'representative': 1024275, 'size': 48}
  • id: 177420747
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 369, 'group_counter': 13, 'group_order': 98304, 'label': '8DY1', 'order': 8, 'powers': [75, 371], 'representative': 369559, 'size': 48}
  • id: 177420749
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 370, 'group_counter': 13, 'group_order': 98304, 'label': '8DY-1', 'order': 8, 'powers': [76, 372], 'representative': 377503, 'size': 48}
  • id: 177420750
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 371, 'group_counter': 13, 'group_order': 98304, 'label': '8DY3', 'order': 8, 'powers': [76, 369], 'representative': 901279, 'size': 48}
  • id: 177420751
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 372, 'group_counter': 13, 'group_order': 98304, 'label': '8DY-3', 'order': 8, 'powers': [75, 370], 'representative': 491651, 'size': 48}
  • id: 177420752
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 373, 'group_counter': 13, 'group_order': 98304, 'label': '8DZ1', 'order': 8, 'powers': [77, 375], 'representative': 778507, 'size': 48}
  • id: 177420753
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 374, 'group_counter': 13, 'group_order': 98304, 'label': '8DZ-1', 'order': 8, 'powers': [78, 376], 'representative': 753683, 'size': 48}
  • id: 177420754
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 375, 'group_counter': 13, 'group_order': 98304, 'label': '8DZ3', 'order': 8, 'powers': [78, 373], 'representative': 754179, 'size': 48}
  • id: 177420755
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 376, 'group_counter': 13, 'group_order': 98304, 'label': '8DZ-3', 'order': 8, 'powers': [77, 374], 'representative': 376839, 'size': 48}
  • id: 177420756
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 377, 'group_counter': 13, 'group_order': 98304, 'label': '8EA1', 'order': 8, 'powers': [79, 379], 'representative': 311701, 'size': 48}
  • id: 177420757
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 378, 'group_counter': 13, 'group_order': 98304, 'label': '8EA-1', 'order': 8, 'powers': [80, 380], 'representative': 426377, 'size': 48}
  • id: 177420758
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 379, 'group_counter': 13, 'group_order': 98304, 'label': '8EA3', 'order': 8, 'powers': [80, 377], 'representative': 951177, 'size': 48}
  • id: 177420760
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 380, 'group_counter': 13, 'group_order': 98304, 'label': '8EA-3', 'order': 8, 'powers': [79, 378], 'representative': 820117, 'size': 48}
  • id: 177420761
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 381, 'group_counter': 13, 'group_order': 98304, 'label': '8EB1', 'order': 8, 'powers': [81, 383], 'representative': 950785, 'size': 48}
  • id: 177420762
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 382, 'group_counter': 13, 'group_order': 98304, 'label': '8EB-1', 'order': 8, 'powers': [82, 384], 'representative': 49173, 'size': 48}
  • id: 177420763
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 383, 'group_counter': 13, 'group_order': 98304, 'label': '8EB3', 'order': 8, 'powers': [82, 381], 'representative': 49669, 'size': 48}
  • id: 177420764
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 384, 'group_counter': 13, 'group_order': 98304, 'label': '8EB-3', 'order': 8, 'powers': [81, 382], 'representative': 442369, 'size': 48}
  • id: 177420765
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 385, 'group_counter': 13, 'group_order': 98304, 'label': '8EC1', 'order': 8, 'powers': [79, 387], 'representative': 631183, 'size': 48}
  • id: 177420766
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 386, 'group_counter': 13, 'group_order': 98304, 'label': '8EC-1', 'order': 8, 'powers': [80, 388], 'representative': 114823, 'size': 48}
  • id: 177420767
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 387, 'group_counter': 13, 'group_order': 98304, 'label': '8EC3', 'order': 8, 'powers': [80, 385], 'representative': 639623, 'size': 48}
  • id: 177420768
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 388, 'group_counter': 13, 'group_order': 98304, 'label': '8EC-3', 'order': 8, 'powers': [79, 386], 'representative': 107407, 'size': 48}
  • id: 177420769
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 389, 'group_counter': 13, 'group_order': 98304, 'label': '8ED1', 'order': 8, 'powers': [81, 391], 'representative': 516883, 'size': 48}
  • id: 177420771
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 390, 'group_counter': 13, 'group_order': 98304, 'label': '8ED-1', 'order': 8, 'powers': [82, 392], 'representative': 1016331, 'size': 48}
  • id: 177420772
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 391, 'group_counter': 13, 'group_order': 98304, 'label': '8ED3', 'order': 8, 'powers': [82, 389], 'representative': 1015835, 'size': 48}
  • id: 177420773
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 392, 'group_counter': 13, 'group_order': 98304, 'label': '8ED-3', 'order': 8, 'powers': [81, 390], 'representative': 516355, 'size': 48}
  • id: 177420774
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 393, 'group_counter': 13, 'group_order': 98304, 'label': '8EE1', 'order': 8, 'powers': [76, 395], 'representative': 884895, 'size': 48}
  • id: 177420775
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 394, 'group_counter': 13, 'group_order': 98304, 'label': '8EE-1', 'order': 8, 'powers': [75, 396], 'representative': 909719, 'size': 48}
  • id: 177420776
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 395, 'group_counter': 13, 'group_order': 98304, 'label': '8EE3', 'order': 8, 'powers': [75, 393], 'representative': 385943, 'size': 48}
  • id: 177420777
    {'aut_label': '8DQ1', 'centralizer': None, 'counter': 396, 'group_counter': 13, 'group_order': 98304, 'label': '8EE-3', 'order': 8, 'powers': [76, 394], 'representative': 361119, 'size': 48}
  • id: 177420778
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 397, 'group_counter': 13, 'group_order': 98304, 'label': '8EF1', 'order': 8, 'powers': [78, 399], 'representative': 246291, 'size': 48}
  • id: 177420779
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 398, 'group_counter': 13, 'group_order': 98304, 'label': '8EF-1', 'order': 8, 'powers': [77, 400], 'representative': 238347, 'size': 48}
  • id: 177420780
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 399, 'group_counter': 13, 'group_order': 98304, 'label': '8EF3', 'order': 8, 'powers': [77, 397], 'representative': 237851, 'size': 48}
  • id: 177420783
    {'aut_label': '8DR1', 'centralizer': None, 'counter': 400, 'group_counter': 13, 'group_order': 98304, 'label': '8EF-3', 'order': 8, 'powers': [78, 398], 'representative': 245763, 'size': 48}
  • id: 177420784
    {'aut_label': '8EG', 'centralizer': None, 'counter': 401, 'group_counter': 13, 'group_order': 98304, 'label': '8EG', 'order': 8, 'powers': [41, 401], 'representative': 828623, 'size': 384}
  • id: 177420785
    {'aut_label': '8EG', 'centralizer': None, 'counter': 402, 'group_counter': 13, 'group_order': 98304, 'label': '8EH', 'order': 8, 'powers': [41, 402], 'representative': 880190, 'size': 384}
  • id: 177420786
    {'aut_label': '8EG', 'centralizer': None, 'counter': 403, 'group_counter': 13, 'group_order': 98304, 'label': '8EI', 'order': 8, 'powers': [42, 403], 'representative': 383677, 'size': 384}
  • id: 177420787
    {'aut_label': '8EG', 'centralizer': None, 'counter': 404, 'group_counter': 13, 'group_order': 98304, 'label': '8EJ', 'order': 8, 'powers': [42, 404], 'representative': 466346, 'size': 384}
  • id: 177420788
    {'aut_label': '8EK1', 'centralizer': None, 'counter': 405, 'group_counter': 13, 'group_order': 98304, 'label': '8EK1', 'order': 8, 'powers': [57, 406], 'representative': 857854, 'size': 384}
  • id: 177420789
    {'aut_label': '8EK1', 'centralizer': None, 'counter': 406, 'group_counter': 13, 'group_order': 98304, 'label': '8EK-1', 'order': 8, 'powers': [58, 405], 'representative': 478762, 'size': 384}
  • id: 177420790
    {'aut_label': '8EL1', 'centralizer': None, 'counter': 407, 'group_counter': 13, 'group_order': 98304, 'label': '8EL1', 'order': 8, 'powers': [49, 408], 'representative': 771041, 'size': 384}
  • id: 177420791
    {'aut_label': '8EL1', 'centralizer': None, 'counter': 408, 'group_counter': 13, 'group_order': 98304, 'label': '8EL-1', 'order': 8, 'powers': [50, 407], 'representative': 770801, 'size': 384}
  • id: 177420792
    {'aut_label': '8EL1', 'centralizer': None, 'counter': 409, 'group_counter': 13, 'group_order': 98304, 'label': '8EM1', 'order': 8, 'powers': [49, 410], 'representative': 508409, 'size': 384}
  • id: 177420794
    {'aut_label': '8EL1', 'centralizer': None, 'counter': 410, 'group_counter': 13, 'group_order': 98304, 'label': '8EM-1', 'order': 8, 'powers': [50, 409], 'representative': 1032441, 'size': 384}
  • id: 177420795
    {'aut_label': '8EN1', 'centralizer': None, 'counter': 411, 'group_counter': 13, 'group_order': 98304, 'label': '8EN1', 'order': 8, 'powers': [29, 412], 'representative': 7664, 'size': 384}
  • id: 177420796
    {'aut_label': '8EN1', 'centralizer': None, 'counter': 412, 'group_counter': 13, 'group_order': 98304, 'label': '8EN-1', 'order': 8, 'powers': [30, 411], 'representative': 540384, 'size': 384}
  • id: 177420797
    {'aut_label': '8EO1', 'centralizer': None, 'counter': 413, 'group_counter': 13, 'group_order': 98304, 'label': '8EO1', 'order': 8, 'powers': [37, 414], 'representative': 951227, 'size': 384}
  • id: 177420798
    {'aut_label': '8EO1', 'centralizer': None, 'counter': 414, 'group_counter': 13, 'group_order': 98304, 'label': '8EO-1', 'order': 8, 'powers': [37, 413], 'representative': 688563, 'size': 384}
  • id: 177420799
    {'aut_label': '8EK1', 'centralizer': None, 'counter': 415, 'group_counter': 13, 'group_order': 98304, 'label': '8EP1', 'order': 8, 'powers': [57, 416], 'representative': 445307, 'size': 384}
  • id: 177420800
    {'aut_label': '8EK1', 'centralizer': None, 'counter': 416, 'group_counter': 13, 'group_order': 98304, 'label': '8EP-1', 'order': 8, 'powers': [58, 415], 'representative': 653749, 'size': 384}
  • id: 177420801
    {'aut_label': '8EQ1', 'centralizer': None, 'counter': 417, 'group_counter': 13, 'group_order': 98304, 'label': '8EQ1', 'order': 8, 'powers': [16, 418], 'representative': 402484, 'size': 384}
  • id: 177420802
    {'aut_label': '8EQ1', 'centralizer': None, 'counter': 418, 'group_counter': 13, 'group_order': 98304, 'label': '8EQ-1', 'order': 8, 'powers': [15, 417], 'representative': 410932, 'size': 384}
  • id: 177420803
    {'aut_label': '8ER1', 'centralizer': None, 'counter': 419, 'group_counter': 13, 'group_order': 98304, 'label': '8ER1', 'order': 8, 'powers': [39, 420], 'representative': 687604, 'size': 384}
  • id: 177420805
    {'aut_label': '8ER1', 'centralizer': None, 'counter': 420, 'group_counter': 13, 'group_order': 98304, 'label': '8ER-1', 'order': 8, 'powers': [39, 419], 'representative': 425452, 'size': 384}
  • id: 177420806
    {'aut_label': '8ES1', 'centralizer': None, 'counter': 421, 'group_counter': 13, 'group_order': 98304, 'label': '8ES1', 'order': 8, 'powers': [31, 422], 'representative': 1022257, 'size': 384}
  • id: 177420807
    {'aut_label': '8ES1', 'centralizer': None, 'counter': 422, 'group_counter': 13, 'group_order': 98304, 'label': '8ES-1', 'order': 8, 'powers': [32, 421], 'representative': 829943, 'size': 384}
  • id: 177420808
    {'aut_label': '8ET1', 'centralizer': None, 'counter': 423, 'group_counter': 13, 'group_order': 98304, 'label': '8ET1', 'order': 8, 'powers': [17, 424], 'representative': 760617, 'size': 384}
  • id: 177420809
    {'aut_label': '8ET1', 'centralizer': None, 'counter': 424, 'group_counter': 13, 'group_order': 98304, 'label': '8ET-1', 'order': 8, 'powers': [18, 423], 'representative': 568303, 'size': 384}
  • id: 177420810
    {'aut_label': '12A1', 'centralizer': None, 'counter': 425, 'group_counter': 13, 'group_order': 98304, 'label': '12A1', 'order': 12, 'powers': [92, 20], 'representative': 850976, 'size': 128}
  • id: 177420811
    {'aut_label': '12A1', 'centralizer': None, 'counter': 426, 'group_counter': 13, 'group_order': 98304, 'label': '12A5', 'order': 12, 'powers': [92, 20], 'representative': 834608, 'size': 128}
  • id: 177420812
    {'aut_label': '12B1', 'centralizer': None, 'counter': 427, 'group_counter': 13, 'group_order': 98304, 'label': '12B1', 'order': 12, 'powers': [92, 17], 'representative': 835120, 'size': 128}
  • id: 177420813
    {'aut_label': '12B1', 'centralizer': None, 'counter': 428, 'group_counter': 13, 'group_order': 98304, 'label': '12B-1', 'order': 12, 'powers': [92, 18], 'representative': 851488, 'size': 128}
  • id: 177420814
    {'aut_label': '12C1', 'centralizer': None, 'counter': 429, 'group_counter': 13, 'group_order': 98304, 'label': '12C1', 'order': 12, 'powers': [92, 19], 'representative': 556583, 'size': 128}
  • id: 177420816
    {'aut_label': '12C1', 'centralizer': None, 'counter': 430, 'group_counter': 13, 'group_order': 98304, 'label': '12C5', 'order': 12, 'powers': [92, 19], 'representative': 772080, 'size': 128}
  • id: 177420817
    {'aut_label': '12D1', 'centralizer': None, 'counter': 431, 'group_counter': 13, 'group_order': 98304, 'label': '12D1', 'order': 12, 'powers': [92, 16], 'representative': 32311, 'size': 128}
  • id: 177420818
    {'aut_label': '12D1', 'centralizer': None, 'counter': 432, 'group_counter': 13, 'group_order': 98304, 'label': '12D-1', 'order': 12, 'powers': [92, 15], 'representative': 247776, 'size': 128}
  • id: 177420819
    {'aut_label': '12E1', 'centralizer': None, 'counter': 433, 'group_counter': 13, 'group_order': 98304, 'label': '12E1', 'order': 12, 'powers': [95, 21], 'representative': 302904, 'size': 128}
  • id: 177420820
    {'aut_label': '12E1', 'centralizer': None, 'counter': 434, 'group_counter': 13, 'group_order': 98304, 'label': '12E-1', 'order': 12, 'powers': [96, 22], 'representative': 280561, 'size': 128}
  • id: 177420821
    {'aut_label': '12E1', 'centralizer': None, 'counter': 435, 'group_counter': 13, 'group_order': 98304, 'label': '12E5', 'order': 12, 'powers': [96, 21], 'representative': 804849, 'size': 128}
  • id: 177420822
    {'aut_label': '12E1', 'centralizer': None, 'counter': 436, 'group_counter': 13, 'group_order': 98304, 'label': '12E-5', 'order': 12, 'powers': [95, 22], 'representative': 302392, 'size': 128}
  • id: 177420823
    {'aut_label': '12E1', 'centralizer': None, 'counter': 437, 'group_counter': 13, 'group_order': 98304, 'label': '12F1', 'order': 12, 'powers': [95, 23], 'representative': 319272, 'size': 128}
  • id: 177420824
    {'aut_label': '12E1', 'centralizer': None, 'counter': 438, 'group_counter': 13, 'group_order': 98304, 'label': '12F-1', 'order': 12, 'powers': [96, 24], 'representative': 280545, 'size': 128}
  • id: 177420825
    {'aut_label': '12E1', 'centralizer': None, 'counter': 439, 'group_counter': 13, 'group_order': 98304, 'label': '12F5', 'order': 12, 'powers': [96, 23], 'representative': 804833, 'size': 128}
  • id: 177420827
    {'aut_label': '12E1', 'centralizer': None, 'counter': 440, 'group_counter': 13, 'group_order': 98304, 'label': '12F-5', 'order': 12, 'powers': [95, 24], 'representative': 318760, 'size': 128}
  • id: 177420828
    {'aut_label': '12G1', 'centralizer': None, 'counter': 441, 'group_counter': 13, 'group_order': 98304, 'label': '12G1', 'order': 12, 'powers': [95, 25], 'representative': 810791, 'size': 128}
  • id: 177420829
    {'aut_label': '12G1', 'centralizer': None, 'counter': 442, 'group_counter': 13, 'group_order': 98304, 'label': '12G-1', 'order': 12, 'powers': [96, 26], 'representative': 493048, 'size': 128}
  • id: 177420830
    {'aut_label': '12G1', 'centralizer': None, 'counter': 443, 'group_counter': 13, 'group_order': 98304, 'label': '12G5', 'order': 12, 'powers': [96, 25], 'representative': 509928, 'size': 128}
  • id: 177420831
    {'aut_label': '12G1', 'centralizer': None, 'counter': 444, 'group_counter': 13, 'group_order': 98304, 'label': '12G-5', 'order': 12, 'powers': [95, 26], 'representative': 286519, 'size': 128}
  • id: 177420832
    {'aut_label': '12G1', 'centralizer': None, 'counter': 445, 'group_counter': 13, 'group_order': 98304, 'label': '12H1', 'order': 12, 'powers': [96, 27], 'representative': 1017320, 'size': 128}
  • id: 177420833
    {'aut_label': '12G1', 'centralizer': None, 'counter': 446, 'group_counter': 13, 'group_order': 98304, 'label': '12H-1', 'order': 12, 'powers': [95, 28], 'representative': 269607, 'size': 128}
  • id: 177420834
    {'aut_label': '12G1', 'centralizer': None, 'counter': 447, 'group_counter': 13, 'group_order': 98304, 'label': '12H5', 'order': 12, 'powers': [95, 27], 'representative': 793911, 'size': 128}
  • id: 177420835
    {'aut_label': '12G1', 'centralizer': None, 'counter': 448, 'group_counter': 13, 'group_order': 98304, 'label': '12H-5', 'order': 12, 'powers': [96, 28], 'representative': 1034232, 'size': 128}
  • id: 177420836
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 449, 'group_counter': 13, 'group_order': 98304, 'label': '16A1', 'order': 16, 'powers': [113, 451], 'representative': 821443, 'size': 32}
  • id: 177420838
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 450, 'group_counter': 13, 'group_order': 98304, 'label': '16A-1', 'order': 16, 'powers': [113, 452], 'representative': 952519, 'size': 32}
  • id: 177420839
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 451, 'group_counter': 13, 'group_order': 98304, 'label': '16A3', 'order': 16, 'powers': [114, 456], 'representative': 166095, 'size': 32}
  • id: 177420840
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 452, 'group_counter': 13, 'group_order': 98304, 'label': '16A-3', 'order': 16, 'powers': [114, 455], 'representative': 559323, 'size': 32}
  • id: 177420841
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 453, 'group_counter': 13, 'group_order': 98304, 'label': '16A5', 'order': 16, 'powers': [114, 450], 'representative': 35019, 'size': 32}
  • id: 177420842
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 454, 'group_counter': 13, 'group_order': 98304, 'label': '16A-5', 'order': 16, 'powers': [114, 449], 'representative': 690399, 'size': 32}
  • id: 177420843
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 455, 'group_counter': 13, 'group_order': 98304, 'label': '16A7', 'order': 16, 'powers': [113, 453], 'representative': 428247, 'size': 32}
  • id: 177420844
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 456, 'group_counter': 13, 'group_order': 98304, 'label': '16A-7', 'order': 16, 'powers': [113, 454], 'representative': 297171, 'size': 32}
  • id: 177420845
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 457, 'group_counter': 13, 'group_order': 98304, 'label': '16B1', 'order': 16, 'powers': [113, 459], 'representative': 314051, 'size': 32}
  • id: 177420846
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 458, 'group_counter': 13, 'group_order': 98304, 'label': '16B-1', 'order': 16, 'powers': [113, 460], 'representative': 445127, 'size': 32}
  • id: 177420847
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 459, 'group_counter': 13, 'group_order': 98304, 'label': '16B3', 'order': 16, 'powers': [114, 464], 'representative': 707279, 'size': 32}
  • id: 177420849
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 460, 'group_counter': 13, 'group_order': 98304, 'label': '16B-3', 'order': 16, 'powers': [114, 463], 'representative': 51931, 'size': 32}
  • id: 177420850
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 461, 'group_counter': 13, 'group_order': 98304, 'label': '16B5', 'order': 16, 'powers': [114, 458], 'representative': 576203, 'size': 32}
  • id: 177420851
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 462, 'group_counter': 13, 'group_order': 98304, 'label': '16B-5', 'order': 16, 'powers': [114, 457], 'representative': 183007, 'size': 32}
  • id: 177420852
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 463, 'group_counter': 13, 'group_order': 98304, 'label': '16B7', 'order': 16, 'powers': [113, 461], 'representative': 969431, 'size': 32}
  • id: 177420853
    {'aut_label': '16A1', 'centralizer': '32.Y', 'counter': 464, 'group_counter': 13, 'group_order': 98304, 'label': '16B-7', 'order': 16, 'powers': [113, 462], 'representative': 838355, 'size': 32}
  • id: 177420854
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 465, 'group_counter': 13, 'group_order': 98304, 'label': '16C1', 'order': 16, 'powers': [115, 467], 'representative': 568259, 'size': 32}
  • id: 177420855
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 466, 'group_counter': 13, 'group_order': 98304, 'label': '16C-1', 'order': 16, 'powers': [116, 468], 'representative': 190919, 'size': 32}
  • id: 177420856
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 467, 'group_counter': 13, 'group_order': 98304, 'label': '16C3', 'order': 16, 'powers': [115, 472], 'representative': 453071, 'size': 32}
  • id: 177420857
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 468, 'group_counter': 13, 'group_order': 98304, 'label': '16C-3', 'order': 16, 'powers': [116, 471], 'representative': 306139, 'size': 32}
  • id: 177420858
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 469, 'group_counter': 13, 'group_order': 98304, 'label': '16C5', 'order': 16, 'powers': [116, 466], 'representative': 830411, 'size': 32}
  • id: 177420860
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 470, 'group_counter': 13, 'group_order': 98304, 'label': '16C-5', 'order': 16, 'powers': [115, 465], 'representative': 977375, 'size': 32}
  • id: 177420861
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 471, 'group_counter': 13, 'group_order': 98304, 'label': '16C7', 'order': 16, 'powers': [116, 469], 'representative': 715223, 'size': 32}
  • id: 177420862
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 472, 'group_counter': 13, 'group_order': 98304, 'label': '16C-7', 'order': 16, 'powers': [115, 470], 'representative': 43987, 'size': 32}
  • id: 177420863
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 473, 'group_counter': 13, 'group_order': 98304, 'label': '16D1', 'order': 16, 'powers': [98, 475], 'representative': 195419, 'size': 32}
  • id: 177420864
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 474, 'group_counter': 13, 'group_order': 98304, 'label': '16D-1', 'order': 16, 'powers': [97, 476], 'representative': 39519, 'size': 32}
  • id: 177420865
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 475, 'group_counter': 13, 'group_order': 98304, 'label': '16D3', 'order': 16, 'powers': [100, 480], 'representative': 841799, 'size': 32}
  • id: 177420866
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 476, 'group_counter': 13, 'group_order': 98304, 'label': '16D-3', 'order': 16, 'powers': [99, 479], 'representative': 440659, 'size': 32}
  • id: 177420867
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 477, 'group_counter': 13, 'group_order': 98304, 'label': '16D5', 'order': 16, 'powers': [99, 474], 'representative': 964931, 'size': 32}
  • id: 177420868
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 478, 'group_counter': 13, 'group_order': 98304, 'label': '16D-5', 'order': 16, 'powers': [100, 473], 'representative': 317527, 'size': 32}
  • id: 177420869
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 479, 'group_counter': 13, 'group_order': 98304, 'label': '16D7', 'order': 16, 'powers': [97, 477], 'representative': 563791, 'size': 32}
  • id: 177420871
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 480, 'group_counter': 13, 'group_order': 98304, 'label': '16D-7', 'order': 16, 'powers': [98, 478], 'representative': 719691, 'size': 32}
  • id: 177420872
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 481, 'group_counter': 13, 'group_order': 98304, 'label': '16E1', 'order': 16, 'powers': [99, 483], 'representative': 718939, 'size': 32}
  • id: 177420873
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 482, 'group_counter': 13, 'group_order': 98304, 'label': '16E-1', 'order': 16, 'powers': [100, 484], 'representative': 39759, 'size': 32}
  • id: 177420874
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 483, 'group_counter': 13, 'group_order': 98304, 'label': '16E3', 'order': 16, 'powers': [97, 488], 'representative': 842071, 'size': 32}
  • id: 177420875
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 484, 'group_counter': 13, 'group_order': 98304, 'label': '16E-3', 'order': 16, 'powers': [98, 487], 'representative': 965203, 'size': 32}
  • id: 177420876
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 485, 'group_counter': 13, 'group_order': 98304, 'label': '16E5', 'order': 16, 'powers': [98, 482], 'representative': 440899, 'size': 32}
  • id: 177420877
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 486, 'group_counter': 13, 'group_order': 98304, 'label': '16E-5', 'order': 16, 'powers': [97, 481], 'representative': 317767, 'size': 32}
  • id: 177420878
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 487, 'group_counter': 13, 'group_order': 98304, 'label': '16E7', 'order': 16, 'powers': [100, 485], 'representative': 564063, 'size': 32}
  • id: 177420879
    {'aut_label': '16D1', 'centralizer': '32.Y', 'counter': 488, 'group_counter': 13, 'group_order': 98304, 'label': '16E-7', 'order': 16, 'powers': [99, 486], 'representative': 194635, 'size': 32}
  • id: 177420880
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 489, 'group_counter': 13, 'group_order': 98304, 'label': '16F1', 'order': 16, 'powers': [106, 491], 'representative': 1034969, 'size': 32}
  • id: 177420882
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 490, 'group_counter': 13, 'group_order': 98304, 'label': '16F-1', 'order': 16, 'powers': [105, 492], 'representative': 895949, 'size': 32}
  • id: 177420883
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 491, 'group_counter': 13, 'group_order': 98304, 'label': '16F3', 'order': 16, 'powers': [105, 496], 'representative': 649685, 'size': 32}
  • id: 177420884
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 492, 'group_counter': 13, 'group_order': 98304, 'label': '16F-3', 'order': 16, 'powers': [106, 495], 'representative': 231633, 'size': 32}
  • id: 177420885
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 493, 'group_counter': 13, 'group_order': 98304, 'label': '16F5', 'order': 16, 'powers': [106, 490], 'representative': 755905, 'size': 32}
  • id: 177420886
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 494, 'group_counter': 13, 'group_order': 98304, 'label': '16F-5', 'order': 16, 'powers': [105, 489], 'representative': 125381, 'size': 32}
  • id: 177420887
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 495, 'group_counter': 13, 'group_order': 98304, 'label': '16F7', 'order': 16, 'powers': [105, 493], 'representative': 371677, 'size': 32}
  • id: 177420888
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 496, 'group_counter': 13, 'group_order': 98304, 'label': '16F-7', 'order': 16, 'powers': [106, 494], 'representative': 510665, 'size': 32}
  • id: 177420889
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 497, 'group_counter': 13, 'group_order': 98304, 'label': '16G1', 'order': 16, 'powers': [115, 499], 'representative': 437215, 'size': 32}
  • id: 177420890
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 498, 'group_counter': 13, 'group_order': 98304, 'label': '16G-1', 'order': 16, 'powers': [116, 500], 'representative': 321995, 'size': 32}
  • id: 177420891
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 499, 'group_counter': 13, 'group_order': 98304, 'label': '16G3', 'order': 16, 'powers': [115, 504], 'representative': 59843, 'size': 32}
  • id: 177420894
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 500, 'group_counter': 13, 'group_order': 98304, 'label': '16G-3', 'order': 16, 'powers': [116, 503], 'representative': 699335, 'size': 32}
  • id: 177420895
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 501, 'group_counter': 13, 'group_order': 98304, 'label': '16G5', 'order': 16, 'powers': [116, 498], 'representative': 175063, 'size': 32}
  • id: 177420896
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 502, 'group_counter': 13, 'group_order': 98304, 'label': '16G-5', 'order': 16, 'powers': [115, 497], 'representative': 584147, 'size': 32}
  • id: 177420897
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 503, 'group_counter': 13, 'group_order': 98304, 'label': '16G7', 'order': 16, 'powers': [116, 501], 'representative': 846299, 'size': 32}
  • id: 177420898
    {'aut_label': '16C1', 'centralizer': '32.Y', 'counter': 504, 'group_counter': 13, 'group_order': 98304, 'label': '16G-7', 'order': 16, 'powers': [115, 502], 'representative': 961487, 'size': 32}
  • id: 177420899
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 505, 'group_counter': 13, 'group_order': 98304, 'label': '16H1', 'order': 16, 'powers': [106, 507], 'representative': 571735, 'size': 32}
  • id: 177420900
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 506, 'group_counter': 13, 'group_order': 98304, 'label': '16H-1', 'order': 16, 'powers': [105, 508], 'representative': 710723, 'size': 32}
  • id: 177420901
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 507, 'group_counter': 13, 'group_order': 98304, 'label': '16H3', 'order': 16, 'powers': [105, 512], 'representative': 957019, 'size': 32}
  • id: 177420902
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 508, 'group_counter': 13, 'group_order': 98304, 'label': '16H-3', 'order': 16, 'powers': [106, 511], 'representative': 326495, 'size': 32}
  • id: 177420903
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 509, 'group_counter': 13, 'group_order': 98304, 'label': '16H5', 'order': 16, 'powers': [106, 506], 'representative': 850767, 'size': 32}
  • id: 177420905
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 510, 'group_counter': 13, 'group_order': 98304, 'label': '16H-5', 'order': 16, 'powers': [105, 505], 'representative': 432715, 'size': 32}
  • id: 177420906
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 511, 'group_counter': 13, 'group_order': 98304, 'label': '16H7', 'order': 16, 'powers': [105, 509], 'representative': 186451, 'size': 32}
  • id: 177420907
    {'aut_label': '16F1', 'centralizer': '32.Y', 'counter': 512, 'group_counter': 13, 'group_order': 98304, 'label': '16H-7', 'order': 16, 'powers': [106, 510], 'representative': 47431, 'size': 32}
  • id: 177420908
    {'aut_label': '16I1', 'centralizer': None, 'counter': 513, 'group_counter': 13, 'group_order': 98304, 'label': '16I1', 'order': 16, 'powers': [133, 515], 'representative': 314203, 'size': 96}
  • id: 177420909
    {'aut_label': '16I1', 'centralizer': None, 'counter': 514, 'group_counter': 13, 'group_order': 98304, 'label': '16I-1', 'order': 16, 'powers': [133, 516], 'representative': 183127, 'size': 96}
  • id: 177420910
    {'aut_label': '16I1', 'centralizer': None, 'counter': 515, 'group_counter': 13, 'group_order': 98304, 'label': '16I3', 'order': 16, 'powers': [134, 520], 'representative': 969551, 'size': 96}
  • id: 177420911
    {'aut_label': '16I1', 'centralizer': None, 'counter': 516, 'group_counter': 13, 'group_order': 98304, 'label': '16I-3', 'order': 16, 'powers': [134, 519], 'representative': 576323, 'size': 96}
  • id: 177420912
    {'aut_label': '16I1', 'centralizer': None, 'counter': 517, 'group_counter': 13, 'group_order': 98304, 'label': '16I5', 'order': 16, 'powers': [134, 514], 'representative': 559939, 'size': 96}
  • id: 177420913
    {'aut_label': '16I1', 'centralizer': None, 'counter': 518, 'group_counter': 13, 'group_order': 98304, 'label': '16I-5', 'order': 16, 'powers': [134, 513], 'representative': 953167, 'size': 96}
  • id: 177420914
    {'aut_label': '16I1', 'centralizer': None, 'counter': 519, 'group_counter': 13, 'group_order': 98304, 'label': '16I7', 'order': 16, 'powers': [133, 517], 'representative': 768709, 'size': 96}
  • id: 177420916
    {'aut_label': '16I1', 'centralizer': None, 'counter': 520, 'group_counter': 13, 'group_order': 98304, 'label': '16I-7', 'order': 16, 'powers': [133, 518], 'representative': 297819, 'size': 96}
  • id: 177420917
    {'aut_label': '16I1', 'centralizer': None, 'counter': 521, 'group_counter': 13, 'group_order': 98304, 'label': '16J1', 'order': 16, 'powers': [133, 523], 'representative': 821595, 'size': 96}
  • id: 177420918
    {'aut_label': '16I1', 'centralizer': None, 'counter': 522, 'group_counter': 13, 'group_order': 98304, 'label': '16J-1', 'order': 16, 'powers': [133, 524], 'representative': 690519, 'size': 96}
  • id: 177420919
    {'aut_label': '16I1', 'centralizer': None, 'counter': 523, 'group_counter': 13, 'group_order': 98304, 'label': '16J3', 'order': 16, 'powers': [134, 528], 'representative': 428367, 'size': 96}
  • id: 177420920
    {'aut_label': '16I1', 'centralizer': None, 'counter': 524, 'group_counter': 13, 'group_order': 98304, 'label': '16J-3', 'order': 16, 'powers': [134, 527], 'representative': 35139, 'size': 96}
  • id: 177420921
    {'aut_label': '16I1', 'centralizer': None, 'counter': 525, 'group_counter': 13, 'group_order': 98304, 'label': '16J5', 'order': 16, 'powers': [134, 522], 'representative': 129217, 'size': 96}
  • id: 177420922
    {'aut_label': '16I1', 'centralizer': None, 'counter': 526, 'group_counter': 13, 'group_order': 98304, 'label': '16J-5', 'order': 16, 'powers': [134, 521], 'representative': 444751, 'size': 96}
  • id: 177420923
    {'aut_label': '16I1', 'centralizer': None, 'counter': 527, 'group_counter': 13, 'group_order': 98304, 'label': '16J7', 'order': 16, 'powers': [133, 525], 'representative': 706903, 'size': 96}
  • id: 177420924
    {'aut_label': '16I1', 'centralizer': None, 'counter': 528, 'group_counter': 13, 'group_order': 98304, 'label': '16J-7', 'order': 16, 'powers': [133, 526], 'representative': 837979, 'size': 96}
  • id: 177420925
    {'aut_label': '16K1', 'centralizer': None, 'counter': 529, 'group_counter': 13, 'group_order': 98304, 'label': '16K1', 'order': 16, 'powers': [135, 531], 'representative': 567387, 'size': 96}
  • id: 177420927
    {'aut_label': '16K1', 'centralizer': None, 'counter': 530, 'group_counter': 13, 'group_order': 98304, 'label': '16K-1', 'order': 16, 'powers': [136, 532], 'representative': 977495, 'size': 96}
  • id: 177420928
    {'aut_label': '16K1', 'centralizer': None, 'counter': 531, 'group_counter': 13, 'group_order': 98304, 'label': '16K3', 'order': 16, 'powers': [135, 536], 'representative': 715343, 'size': 96}
  • id: 177420929
    {'aut_label': '16K1', 'centralizer': None, 'counter': 532, 'group_counter': 13, 'group_order': 98304, 'label': '16K-3', 'order': 16, 'powers': [136, 535], 'representative': 829507, 'size': 96}
  • id: 177420930
    {'aut_label': '16K1', 'centralizer': None, 'counter': 533, 'group_counter': 13, 'group_order': 98304, 'label': '16K5', 'order': 16, 'powers': [136, 530], 'representative': 845891, 'size': 96}
  • id: 177420931
    {'aut_label': '16K1', 'centralizer': None, 'counter': 534, 'group_counter': 13, 'group_order': 98304, 'label': '16K-5', 'order': 16, 'powers': [135, 529], 'representative': 698959, 'size': 96}
  • id: 177420932
    {'aut_label': '16K1', 'centralizer': None, 'counter': 535, 'group_counter': 13, 'group_order': 98304, 'label': '16K7', 'order': 16, 'powers': [136, 533], 'representative': 760797, 'size': 96}
  • id: 177420933
    {'aut_label': '16K1', 'centralizer': None, 'counter': 536, 'group_counter': 13, 'group_order': 98304, 'label': '16K-7', 'order': 16, 'powers': [135, 534], 'representative': 583771, 'size': 96}
  • id: 177420934
    {'aut_label': '16L1', 'centralizer': None, 'counter': 537, 'group_counter': 13, 'group_order': 98304, 'label': '16L1', 'order': 16, 'powers': [97, 539], 'representative': 432323, 'size': 96}
  • id: 177420935
    {'aut_label': '16L1', 'centralizer': None, 'counter': 538, 'group_counter': 13, 'group_order': 98304, 'label': '16L-1', 'order': 16, 'powers': [98, 540], 'representative': 493633, 'size': 96}
  • id: 177420936
    {'aut_label': '16L1', 'centralizer': None, 'counter': 539, 'group_counter': 13, 'group_order': 98304, 'label': '16L3', 'order': 16, 'powers': [99, 544], 'representative': 834519, 'size': 96}
  • id: 177420938
    {'aut_label': '16L1', 'centralizer': None, 'counter': 540, 'group_counter': 13, 'group_order': 98304, 'label': '16L-3', 'order': 16, 'powers': [100, 543], 'representative': 187083, 'size': 96}
  • id: 177420939
    {'aut_label': '16L1', 'centralizer': None, 'counter': 541, 'group_counter': 13, 'group_order': 98304, 'label': '16L5', 'order': 16, 'powers': [100, 538], 'representative': 170699, 'size': 96}
  • id: 177420940
    {'aut_label': '16L1', 'centralizer': None, 'counter': 542, 'group_counter': 13, 'group_order': 98304, 'label': '16L-5', 'order': 16, 'powers': [99, 537], 'representative': 850903, 'size': 96}
  • id: 177420941
    {'aut_label': '16L1', 'centralizer': None, 'counter': 543, 'group_counter': 13, 'group_order': 98304, 'label': '16L7', 'order': 16, 'powers': [98, 541], 'representative': 510017, 'size': 96}
  • id: 177420942
    {'aut_label': '16L1', 'centralizer': None, 'counter': 544, 'group_counter': 13, 'group_order': 98304, 'label': '16L-7', 'order': 16, 'powers': [97, 542], 'representative': 448707, 'size': 96}
  • id: 177420943
    {'aut_label': '16K1', 'centralizer': None, 'counter': 545, 'group_counter': 13, 'group_order': 98304, 'label': '16M1', 'order': 16, 'powers': [135, 547], 'representative': 174159, 'size': 96}
  • id: 177420944
    {'aut_label': '16K1', 'centralizer': None, 'counter': 546, 'group_counter': 13, 'group_order': 98304, 'label': '16M-1', 'order': 16, 'powers': [136, 548], 'representative': 322115, 'size': 96}
  • id: 177420945
    {'aut_label': '16K1', 'centralizer': None, 'counter': 547, 'group_counter': 13, 'group_order': 98304, 'label': '16M3', 'order': 16, 'powers': [135, 552], 'representative': 43611, 'size': 96}
  • id: 177420946
    {'aut_label': '16K1', 'centralizer': None, 'counter': 548, 'group_counter': 13, 'group_order': 98304, 'label': '16M-3', 'order': 16, 'powers': [136, 551], 'representative': 452695, 'size': 96}
  • id: 177420947
    {'aut_label': '16K1', 'centralizer': None, 'counter': 549, 'group_counter': 13, 'group_order': 98304, 'label': '16M5', 'order': 16, 'powers': [136, 546], 'representative': 436311, 'size': 96}
  • id: 177420949
    {'aut_label': '16K1', 'centralizer': None, 'counter': 550, 'group_counter': 13, 'group_order': 98304, 'label': '16M-5', 'order': 16, 'powers': [135, 545], 'representative': 59995, 'size': 96}
  • id: 177420950
    {'aut_label': '16K1', 'centralizer': None, 'counter': 551, 'group_counter': 13, 'group_order': 98304, 'label': '16M7', 'order': 16, 'powers': [136, 549], 'representative': 105417, 'size': 96}
  • id: 177420951
    {'aut_label': '16K1', 'centralizer': None, 'counter': 552, 'group_counter': 13, 'group_order': 98304, 'label': '16M-7', 'order': 16, 'powers': [135, 550], 'representative': 190543, 'size': 96}
  • id: 177420952
    {'aut_label': '16N1', 'centralizer': None, 'counter': 553, 'group_counter': 13, 'group_order': 98304, 'label': '16N1', 'order': 16, 'powers': [105, 555], 'representative': 580311, 'size': 96}
  • id: 177420953
    {'aut_label': '16N1', 'centralizer': None, 'counter': 554, 'group_counter': 13, 'group_order': 98304, 'label': '16N-1', 'order': 16, 'powers': [106, 556], 'representative': 441291, 'size': 96}
  • id: 177420954
    {'aut_label': '16N1', 'centralizer': None, 'counter': 555, 'group_counter': 13, 'group_order': 98304, 'label': '16N3', 'order': 16, 'powers': [106, 560], 'representative': 702915, 'size': 96}
  • id: 177420955
    {'aut_label': '16N1', 'centralizer': None, 'counter': 556, 'group_counter': 13, 'group_order': 98304, 'label': '16N-3', 'order': 16, 'powers': [105, 559], 'representative': 502105, 'size': 96}
  • id: 177420956
    {'aut_label': '16N1', 'centralizer': None, 'counter': 557, 'group_counter': 13, 'group_order': 98304, 'label': '16N5', 'order': 16, 'powers': [105, 554], 'representative': 518489, 'size': 96}
  • id: 177420957
    {'aut_label': '16N1', 'centralizer': None, 'counter': 558, 'group_counter': 13, 'group_order': 98304, 'label': '16N-5', 'order': 16, 'powers': [106, 553], 'representative': 719299, 'size': 96}
  • id: 177420958
    {'aut_label': '16N1', 'centralizer': None, 'counter': 559, 'group_counter': 13, 'group_order': 98304, 'label': '16N7', 'order': 16, 'powers': [106, 557], 'representative': 457675, 'size': 96}
  • id: 177420960
    {'aut_label': '16N1', 'centralizer': None, 'counter': 560, 'group_counter': 13, 'group_order': 98304, 'label': '16N-7', 'order': 16, 'powers': [105, 558], 'representative': 563927, 'size': 96}
  • id: 177420961
    {'aut_label': '16L1', 'centralizer': None, 'counter': 561, 'group_counter': 13, 'group_order': 98304, 'label': '16O1', 'order': 16, 'powers': [97, 563], 'representative': 973507, 'size': 96}
  • id: 177420962
    {'aut_label': '16L1', 'centralizer': None, 'counter': 562, 'group_counter': 13, 'group_order': 98304, 'label': '16O-1', 'order': 16, 'powers': [98, 564], 'representative': 1018433, 'size': 96}
  • id: 177420963
    {'aut_label': '16L1', 'centralizer': None, 'counter': 563, 'group_counter': 13, 'group_order': 98304, 'label': '16O3', 'order': 16, 'powers': [99, 568], 'representative': 326103, 'size': 96}
  • id: 177420964
    {'aut_label': '16L1', 'centralizer': None, 'counter': 564, 'group_counter': 13, 'group_order': 98304, 'label': '16O-3', 'order': 16, 'powers': [100, 567], 'representative': 694475, 'size': 96}
  • id: 177420965
    {'aut_label': '16L1', 'centralizer': None, 'counter': 565, 'group_counter': 13, 'group_order': 98304, 'label': '16O5', 'order': 16, 'powers': [100, 562], 'representative': 710859, 'size': 96}
  • id: 177420966
    {'aut_label': '16L1', 'centralizer': None, 'counter': 566, 'group_counter': 13, 'group_order': 98304, 'label': '16O-5', 'order': 16, 'powers': [99, 561], 'representative': 309719, 'size': 96}
  • id: 177420967
    {'aut_label': '16L1', 'centralizer': None, 'counter': 567, 'group_counter': 13, 'group_order': 98304, 'label': '16O7', 'order': 16, 'powers': [98, 565], 'representative': 1034817, 'size': 96}
  • id: 177420968
    {'aut_label': '16L1', 'centralizer': None, 'counter': 568, 'group_counter': 13, 'group_order': 98304, 'label': '16O-7', 'order': 16, 'powers': [97, 566], 'representative': 957123, 'size': 96}
  • id: 177420969
    {'aut_label': '16N1', 'centralizer': None, 'counter': 569, 'group_counter': 13, 'group_order': 98304, 'label': '16P1', 'order': 16, 'powers': [105, 571], 'representative': 39127, 'size': 96}
  • id: 177420971
    {'aut_label': '16N1', 'centralizer': None, 'counter': 570, 'group_counter': 13, 'group_order': 98304, 'label': '16P-1', 'order': 16, 'powers': [106, 572], 'representative': 981451, 'size': 96}
  • id: 177420972
    {'aut_label': '16N1', 'centralizer': None, 'counter': 571, 'group_counter': 13, 'group_order': 98304, 'label': '16P3', 'order': 16, 'powers': [106, 576], 'representative': 195523, 'size': 96}
  • id: 177420973
    {'aut_label': '16N1', 'centralizer': None, 'counter': 572, 'group_counter': 13, 'group_order': 98304, 'label': '16P-3', 'order': 16, 'powers': [105, 575], 'representative': 1026905, 'size': 96}
  • id: 177420974
    {'aut_label': '16N1', 'centralizer': None, 'counter': 573, 'group_counter': 13, 'group_order': 98304, 'label': '16P5', 'order': 16, 'powers': [105, 570], 'representative': 842463, 'size': 96}
  • id: 177420975
    {'aut_label': '16N1', 'centralizer': None, 'counter': 574, 'group_counter': 13, 'group_order': 98304, 'label': '16P-5', 'order': 16, 'powers': [106, 569], 'representative': 179139, 'size': 96}
  • id: 177420976
    {'aut_label': '16N1', 'centralizer': None, 'counter': 575, 'group_counter': 13, 'group_order': 98304, 'label': '16P7', 'order': 16, 'powers': [106, 573], 'representative': 965067, 'size': 96}
  • id: 177420977
    {'aut_label': '16N1', 'centralizer': None, 'counter': 576, 'group_counter': 13, 'group_order': 98304, 'label': '16P-7', 'order': 16, 'powers': [105, 574], 'representative': 780609, 'size': 96}
  • id: 177420978
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 577, 'group_counter': 13, 'group_order': 98304, 'label': '16Q1', 'order': 16, 'powers': [237, 578], 'representative': 108857, 'size': 384}
  • id: 177420979
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 578, 'group_counter': 13, 'group_order': 98304, 'label': '16Q3', 'order': 16, 'powers': [237, 577], 'representative': 56043, 'size': 384}
  • id: 177420980
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 579, 'group_counter': 13, 'group_order': 98304, 'label': '16R1', 'order': 16, 'powers': [237, 580], 'representative': 216614, 'size': 384}
  • id: 177420982
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 580, 'group_counter': 13, 'group_order': 98304, 'label': '16R3', 'order': 16, 'powers': [237, 579], 'representative': 489454, 'size': 384}
  • id: 177420983
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 581, 'group_counter': 13, 'group_order': 98304, 'label': '16S1', 'order': 16, 'powers': [237, 582], 'representative': 101585, 'size': 384}
  • id: 177420984
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 582, 'group_counter': 13, 'group_order': 98304, 'label': '16S3', 'order': 16, 'powers': [237, 581], 'representative': 833355, 'size': 384}
  • id: 177420985
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 583, 'group_counter': 13, 'group_order': 98304, 'label': '16T1', 'order': 16, 'powers': [237, 584], 'representative': 832843, 'size': 384}
  • id: 177420986
    {'aut_label': '16Q1', 'centralizer': None, 'counter': 584, 'group_counter': 13, 'group_order': 98304, 'label': '16T3', 'order': 16, 'powers': [237, 583], 'representative': 118481, 'size': 384}
  • id: 177420987
    {'aut_label': '16U1', 'centralizer': None, 'counter': 585, 'group_counter': 13, 'group_order': 98304, 'label': '16U1', 'order': 16, 'powers': [238, 587], 'representative': 1028477, 'size': 384}
  • id: 177420988
    {'aut_label': '16U1', 'centralizer': None, 'counter': 586, 'group_counter': 13, 'group_order': 98304, 'label': '16U-1', 'order': 16, 'powers': [238, 588], 'representative': 110945, 'size': 384}
  • id: 177420989
    {'aut_label': '16U1', 'centralizer': None, 'counter': 587, 'group_counter': 13, 'group_order': 98304, 'label': '16U3', 'order': 16, 'powers': [238, 585], 'representative': 373609, 'size': 384}
  • id: 177420990
    {'aut_label': '16U1', 'centralizer': None, 'counter': 588, 'group_counter': 13, 'group_order': 98304, 'label': '16U-3', 'order': 16, 'powers': [238, 586], 'representative': 766837, 'size': 384}
  • id: 177420991
    {'aut_label': '16V1', 'centralizer': None, 'counter': 589, 'group_counter': 13, 'group_order': 98304, 'label': '16V1', 'order': 16, 'powers': [238, 591], 'representative': 258149, 'size': 384}
  • id: 177420993
    {'aut_label': '16V1', 'centralizer': None, 'counter': 590, 'group_counter': 13, 'group_order': 98304, 'label': '16V-1', 'order': 16, 'powers': [238, 592], 'representative': 389737, 'size': 384}
  • id: 177420994
    {'aut_label': '16V1', 'centralizer': None, 'counter': 591, 'group_counter': 13, 'group_order': 98304, 'label': '16V3', 'order': 16, 'powers': [238, 589], 'representative': 651377, 'size': 384}
  • id: 177420995
    {'aut_label': '16V1', 'centralizer': None, 'counter': 592, 'group_counter': 13, 'group_order': 98304, 'label': '16V-3', 'order': 16, 'powers': [238, 590], 'representative': 1045117, 'size': 384}
  • id: 177420996
    {'aut_label': '16W1', 'centralizer': None, 'counter': 593, 'group_counter': 13, 'group_order': 98304, 'label': '16W1', 'order': 16, 'powers': [239, 595], 'representative': 1036413, 'size': 384}
  • id: 177420997
    {'aut_label': '16W1', 'centralizer': None, 'counter': 594, 'group_counter': 13, 'group_order': 98304, 'label': '16W-1', 'order': 16, 'powers': [239, 596], 'representative': 906089, 'size': 384}
  • id: 177420998
    {'aut_label': '16W1', 'centralizer': None, 'counter': 595, 'group_counter': 13, 'group_order': 98304, 'label': '16W3', 'order': 16, 'powers': [239, 593], 'representative': 643937, 'size': 384}
  • id: 177420999
    {'aut_label': '16W1', 'centralizer': None, 'counter': 596, 'group_counter': 13, 'group_order': 98304, 'label': '16W-3', 'order': 16, 'powers': [239, 594], 'representative': 249957, 'size': 384}
  • id: 177421000
    {'aut_label': '16W1', 'centralizer': None, 'counter': 597, 'group_counter': 13, 'group_order': 98304, 'label': '16X1', 'order': 16, 'powers': [239, 599], 'representative': 496237, 'size': 384}
  • id: 177421001
    {'aut_label': '16W1', 'centralizer': None, 'counter': 598, 'group_counter': 13, 'group_order': 98304, 'label': '16X-1', 'order': 16, 'powers': [239, 600], 'representative': 889705, 'size': 384}
  • id: 177421002
    {'aut_label': '16W1', 'centralizer': None, 'counter': 599, 'group_counter': 13, 'group_order': 98304, 'label': '16X3', 'order': 16, 'powers': [239, 597], 'representative': 627553, 'size': 384}
  • id: 177421005
    {'aut_label': '16W1', 'centralizer': None, 'counter': 600, 'group_counter': 13, 'group_order': 98304, 'label': '16X-3', 'order': 16, 'powers': [239, 598], 'representative': 758389, 'size': 384}
  • id: 177421006
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 601, 'group_counter': 13, 'group_order': 98304, 'label': '16Y1', 'order': 16, 'powers': [145, 603], 'representative': 45607, 'size': 384}
  • id: 177421007
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 602, 'group_counter': 13, 'group_order': 98304, 'label': '16Y-1', 'order': 16, 'powers': [146, 604], 'representative': 193459, 'size': 384}
  • id: 177421008
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 603, 'group_counter': 13, 'group_order': 98304, 'label': '16Y3', 'order': 16, 'powers': [147, 601], 'representative': 455339, 'size': 384}
  • id: 177421009
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 604, 'group_counter': 13, 'group_order': 98304, 'label': '16Y-3', 'order': 16, 'powers': [148, 602], 'representative': 832303, 'size': 384}
  • id: 177421010
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 605, 'group_counter': 13, 'group_order': 98304, 'label': '16Z1', 'order': 16, 'powers': [149, 607], 'representative': 325887, 'size': 384}
  • id: 177421011
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 606, 'group_counter': 13, 'group_order': 98304, 'label': '16Z-1', 'order': 16, 'powers': [150, 608], 'representative': 649397, 'size': 384}
  • id: 177421012
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 607, 'group_counter': 13, 'group_order': 98304, 'label': '16Z3', 'order': 16, 'powers': [151, 605], 'representative': 371645, 'size': 384}
  • id: 177421013
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 608, 'group_counter': 13, 'group_order': 98304, 'label': '16Z-3', 'order': 16, 'powers': [152, 606], 'representative': 48103, 'size': 384}
  • id: 177421014
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 609, 'group_counter': 13, 'group_order': 98304, 'label': '16AA1', 'order': 16, 'powers': [240, 611], 'representative': 478518, 'size': 384}
  • id: 177421016
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 610, 'group_counter': 13, 'group_order': 98304, 'label': '16AA-1', 'order': 16, 'powers': [240, 612], 'representative': 202750, 'size': 384}
  • id: 177421017
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 611, 'group_counter': 13, 'group_order': 98304, 'label': '16AA3', 'order': 16, 'powers': [240, 609], 'representative': 989174, 'size': 384}
  • id: 177421018
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 612, 'group_counter': 13, 'group_order': 98304, 'label': '16AA-3', 'order': 16, 'powers': [240, 610], 'representative': 216366, 'size': 384}
  • id: 177421019
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 613, 'group_counter': 13, 'group_order': 98304, 'label': '16AB1', 'order': 16, 'powers': [240, 615], 'representative': 523485, 'size': 384}
  • id: 177421020
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 614, 'group_counter': 13, 'group_order': 98304, 'label': '16AB-1', 'order': 16, 'powers': [240, 616], 'representative': 173383, 'size': 384}
  • id: 177421021
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 615, 'group_counter': 13, 'group_order': 98304, 'label': '16AB3', 'order': 16, 'powers': [240, 613], 'representative': 435535, 'size': 384}
  • id: 177421022
    {'aut_label': '16AA1', 'centralizer': None, 'counter': 616, 'group_counter': 13, 'group_order': 98304, 'label': '16AB-3', 'order': 16, 'powers': [240, 614], 'representative': 785605, 'size': 384}
  • id: 177421023
    {'aut_label': '16AC1', 'centralizer': None, 'counter': 617, 'group_counter': 13, 'group_order': 98304, 'label': '16AC1', 'order': 16, 'powers': [117, 619], 'representative': 625085, 'size': 384}
  • id: 177421024
    {'aut_label': '16AC1', 'centralizer': None, 'counter': 618, 'group_counter': 13, 'group_order': 98304, 'label': '16AC-1', 'order': 16, 'powers': [118, 620], 'representative': 580607, 'size': 384}
  • id: 177421025
    {'aut_label': '16AC1', 'centralizer': None, 'counter': 619, 'group_counter': 13, 'group_order': 98304, 'label': '16AC3', 'order': 16, 'powers': [119, 617], 'representative': 826103, 'size': 384}
  • id: 177421027
    {'aut_label': '16AC1', 'centralizer': None, 'counter': 620, 'group_counter': 13, 'group_order': 98304, 'label': '16AC-3', 'order': 16, 'powers': [120, 618], 'representative': 903349, 'size': 384}
  • id: 177421028
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 621, 'group_counter': 13, 'group_order': 98304, 'label': '16AD1', 'order': 16, 'powers': [269, 623], 'representative': 900953, 'size': 384}
  • id: 177421029
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 622, 'group_counter': 13, 'group_order': 98304, 'label': '16AD-1', 'order': 16, 'powers': [270, 624], 'representative': 432087, 'size': 384}
  • id: 177421030
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 623, 'group_counter': 13, 'group_order': 98304, 'label': '16AD3', 'order': 16, 'powers': [270, 621], 'representative': 980439, 'size': 384}
  • id: 177421031
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 624, 'group_counter': 13, 'group_order': 98304, 'label': '16AD-3', 'order': 16, 'powers': [269, 622], 'representative': 367961, 'size': 384}
  • id: 177421032
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 625, 'group_counter': 13, 'group_order': 98304, 'label': '16AE1', 'order': 16, 'powers': [271, 627], 'representative': 103961, 'size': 384}
  • id: 177421033
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 626, 'group_counter': 13, 'group_order': 98304, 'label': '16AE-1', 'order': 16, 'powers': [272, 628], 'representative': 886297, 'size': 384}
  • id: 177421034
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 627, 'group_counter': 13, 'group_order': 98304, 'label': '16AE3', 'order': 16, 'powers': [272, 625], 'representative': 370201, 'size': 384}
  • id: 177421035
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 628, 'group_counter': 13, 'group_order': 98304, 'label': '16AE-3', 'order': 16, 'powers': [271, 626], 'representative': 652825, 'size': 384}
  • id: 177421036
    {'aut_label': '16AF1', 'centralizer': None, 'counter': 629, 'group_counter': 13, 'group_order': 98304, 'label': '16AF1', 'order': 16, 'powers': [121, 631], 'representative': 929268, 'size': 384}
  • id: 177421038
    {'aut_label': '16AF1', 'centralizer': None, 'counter': 630, 'group_counter': 13, 'group_order': 98304, 'label': '16AF-1', 'order': 16, 'powers': [122, 632], 'representative': 949876, 'size': 384}
  • id: 177421039
    {'aut_label': '16AF1', 'centralizer': None, 'counter': 631, 'group_counter': 13, 'group_order': 98304, 'label': '16AF3', 'order': 16, 'powers': [123, 629], 'representative': 925556, 'size': 384}
  • id: 177421040
    {'aut_label': '16AF1', 'centralizer': None, 'counter': 632, 'group_counter': 13, 'group_order': 98304, 'label': '16AF-3', 'order': 16, 'powers': [124, 630], 'representative': 920820, 'size': 384}
  • id: 177421041
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 633, 'group_counter': 13, 'group_order': 98304, 'label': '16AG1', 'order': 16, 'powers': [270, 635], 'representative': 73522, 'size': 384}
  • id: 177421042
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 634, 'group_counter': 13, 'group_order': 98304, 'label': '16AG-1', 'order': 16, 'powers': [269, 636], 'representative': 349562, 'size': 384}
  • id: 177421043
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 635, 'group_counter': 13, 'group_order': 98304, 'label': '16AG3', 'order': 16, 'powers': [269, 633], 'representative': 619618, 'size': 384}
  • id: 177421044
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 636, 'group_counter': 13, 'group_order': 98304, 'label': '16AG-3', 'order': 16, 'powers': [270, 634], 'representative': 343610, 'size': 384}
  • id: 177421045
    {'aut_label': '16AH1', 'centralizer': None, 'counter': 637, 'group_counter': 13, 'group_order': 98304, 'label': '16AH1', 'order': 16, 'powers': [101, 639], 'representative': 887589, 'size': 384}
  • id: 177421046
    {'aut_label': '16AH1', 'centralizer': None, 'counter': 638, 'group_counter': 13, 'group_order': 98304, 'label': '16AH-1', 'order': 16, 'powers': [102, 640], 'representative': 563567, 'size': 384}
  • id: 177421047
    {'aut_label': '16AH1', 'centralizer': None, 'counter': 639, 'group_counter': 13, 'group_order': 98304, 'label': '16AH3', 'order': 16, 'powers': [103, 637], 'representative': 318071, 'size': 384}
  • id: 177421049
    {'aut_label': '16AH1', 'centralizer': None, 'counter': 640, 'group_counter': 13, 'group_order': 98304, 'label': '16AH-3', 'order': 16, 'powers': [104, 638], 'representative': 641069, 'size': 384}
  • id: 177421050
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 641, 'group_counter': 13, 'group_order': 98304, 'label': '16AI1', 'order': 16, 'powers': [271, 643], 'representative': 147312, 'size': 384}
  • id: 177421051
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 642, 'group_counter': 13, 'group_order': 98304, 'label': '16AI-1', 'order': 16, 'powers': [272, 644], 'representative': 544236, 'size': 384}
  • id: 177421052
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 643, 'group_counter': 13, 'group_order': 98304, 'label': '16AI3', 'order': 16, 'powers': [272, 641], 'representative': 797940, 'size': 384}
  • id: 177421053
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 644, 'group_counter': 13, 'group_order': 98304, 'label': '16AI-3', 'order': 16, 'powers': [271, 642], 'representative': 941160, 'size': 384}
  • id: 177421054
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 645, 'group_counter': 13, 'group_order': 98304, 'label': '16AJ1', 'order': 16, 'powers': [269, 647], 'representative': 961007, 'size': 384}
  • id: 177421055
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 646, 'group_counter': 13, 'group_order': 98304, 'label': '16AJ-1', 'order': 16, 'powers': [270, 648], 'representative': 899233, 'size': 384}
  • id: 177421056
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 647, 'group_counter': 13, 'group_order': 98304, 'label': '16AJ3', 'order': 16, 'powers': [270, 645], 'representative': 392097, 'size': 384}
  • id: 177421057
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 648, 'group_counter': 13, 'group_order': 98304, 'label': '16AJ-3', 'order': 16, 'powers': [269, 646], 'representative': 452847, 'size': 384}
  • id: 177421058
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 649, 'group_counter': 13, 'group_order': 98304, 'label': '16AK1', 'order': 16, 'powers': [269, 651], 'representative': 845923, 'size': 384}
  • id: 177421060
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 650, 'group_counter': 13, 'group_order': 98304, 'label': '16AK-1', 'order': 16, 'powers': [270, 652], 'representative': 1046573, 'size': 384}
  • id: 177421061
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 651, 'group_counter': 13, 'group_order': 98304, 'label': '16AK3', 'order': 16, 'powers': [270, 649], 'representative': 506669, 'size': 384}
  • id: 177421062
    {'aut_label': '16AD1', 'centralizer': None, 'counter': 652, 'group_counter': 13, 'group_order': 98304, 'label': '16AK-3', 'order': 16, 'powers': [269, 650], 'representative': 306019, 'size': 384}
  • id: 177421063
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 653, 'group_counter': 13, 'group_order': 98304, 'label': '16AL1', 'order': 16, 'powers': [271, 655], 'representative': 753789, 'size': 384}
  • id: 177421064
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 654, 'group_counter': 13, 'group_order': 98304, 'label': '16AL-1', 'order': 16, 'powers': [272, 656], 'representative': 229621, 'size': 384}
  • id: 177421065
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 655, 'group_counter': 13, 'group_order': 98304, 'label': '16AL3', 'order': 16, 'powers': [272, 653], 'representative': 230373, 'size': 384}
  • id: 177421066
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 656, 'group_counter': 13, 'group_order': 98304, 'label': '16AL-3', 'order': 16, 'powers': [271, 654], 'representative': 754029, 'size': 384}
  • id: 177421067
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 657, 'group_counter': 13, 'group_order': 98304, 'label': '16AM1', 'order': 16, 'powers': [272, 659], 'representative': 265724, 'size': 384}
  • id: 177421068
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 658, 'group_counter': 13, 'group_order': 98304, 'label': '16AM-1', 'order': 16, 'powers': [271, 660], 'representative': 671096, 'size': 384}
  • id: 177421069
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 659, 'group_counter': 13, 'group_order': 98304, 'label': '16AM3', 'order': 16, 'powers': [271, 657], 'representative': 941664, 'size': 384}
  • id: 177421071
    {'aut_label': '16AE1', 'centralizer': None, 'counter': 660, 'group_counter': 13, 'group_order': 98304, 'label': '16AM-3', 'order': 16, 'powers': [272, 658], 'representative': 27892, 'size': 384}
  • id: 177421072
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 661, 'group_counter': 13, 'group_order': 98304, 'label': '16AN1', 'order': 16, 'powers': [150, 663], 'representative': 850559, 'size': 384}
  • id: 177421073
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 662, 'group_counter': 13, 'group_order': 98304, 'label': '16AN-1', 'order': 16, 'powers': [149, 664], 'representative': 895037, 'size': 384}
  • id: 177421074
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 663, 'group_counter': 13, 'group_order': 98304, 'label': '16AN3', 'order': 16, 'powers': [152, 661], 'representative': 125237, 'size': 384}
  • id: 177421075
    {'aut_label': '16Z1', 'centralizer': None, 'counter': 664, 'group_counter': 13, 'group_order': 98304, 'label': '16AN-3', 'order': 16, 'powers': [151, 662], 'representative': 47991, 'size': 384}
  • id: 177421076
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 665, 'group_counter': 13, 'group_order': 98304, 'label': '16AO1', 'order': 16, 'powers': [147, 667], 'representative': 782833, 'size': 384}
  • id: 177421077
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 666, 'group_counter': 13, 'group_order': 98304, 'label': '16AO-1', 'order': 16, 'powers': [148, 668], 'representative': 897917, 'size': 384}
  • id: 177421078
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 667, 'group_counter': 13, 'group_order': 98304, 'label': '16AO3', 'order': 16, 'powers': [145, 665], 'representative': 111221, 'size': 384}
  • id: 177421079
    {'aut_label': '16Y1', 'centralizer': None, 'counter': 668, 'group_counter': 13, 'group_order': 98304, 'label': '16AO-3', 'order': 16, 'powers': [146, 666], 'representative': 520953, 'size': 384}
  • id: 177421080
    {'aut_label': '16AP1', 'centralizer': None, 'counter': 669, 'group_counter': 13, 'group_order': 98304, 'label': '16AP1', 'order': 16, 'powers': [100, 671], 'representative': 505233, 'size': 384}
  • id: 177421082
    {'aut_label': '16AP1', 'centralizer': None, 'counter': 670, 'group_counter': 13, 'group_order': 98304, 'label': '16AP-1', 'order': 16, 'powers': [99, 672], 'representative': 903045, 'size': 384}
  • id: 177421083
    {'aut_label': '16AP1', 'centralizer': None, 'counter': 671, 'group_counter': 13, 'group_order': 98304, 'label': '16AP3', 'order': 16, 'powers': [98, 669], 'representative': 649101, 'size': 384}
  • id: 177421084
    {'aut_label': '16AP1', 'centralizer': None, 'counter': 672, 'group_counter': 13, 'group_order': 98304, 'label': '16AP-3', 'order': 16, 'powers': [97, 670], 'representative': 759177, 'size': 384}
  • id: 177421085
    {'aut_label': '24A1', 'centralizer': None, 'counter': 673, 'group_counter': 13, 'group_order': 98304, 'label': '24A1', 'order': 24, 'powers': [429, 107], 'representative': 970664, 'size': 128}
  • id: 177421086
    {'aut_label': '24A1', 'centralizer': None, 'counter': 674, 'group_counter': 13, 'group_order': 98304, 'label': '24A5', 'order': 24, 'powers': [430, 108], 'representative': 791909, 'size': 128}
  • id: 177421087
    {'aut_label': '24A1', 'centralizer': None, 'counter': 675, 'group_counter': 13, 'group_order': 98304, 'label': '24A7', 'order': 24, 'powers': [430, 107], 'representative': 791925, 'size': 128}
  • id: 177421088
    {'aut_label': '24A1', 'centralizer': None, 'counter': 676, 'group_counter': 13, 'group_order': 98304, 'label': '24A11', 'order': 24, 'powers': [429, 108], 'representative': 954296, 'size': 128}
  • id: 177421089
    {'aut_label': '24B1', 'centralizer': None, 'counter': 677, 'group_counter': 13, 'group_order': 98304, 'label': '24B1', 'order': 24, 'powers': [429, 109], 'representative': 953784, 'size': 128}
  • id: 177421090
    {'aut_label': '24B1', 'centralizer': None, 'counter': 678, 'group_counter': 13, 'group_order': 98304, 'label': '24B-1', 'order': 24, 'powers': [429, 110], 'representative': 970152, 'size': 128}
  • id: 177421091
    {'aut_label': '24B1', 'centralizer': None, 'counter': 679, 'group_counter': 13, 'group_order': 98304, 'label': '24B5', 'order': 24, 'powers': [430, 110], 'representative': 267637, 'size': 128}
  • id: 177421093
    {'aut_label': '24B1', 'centralizer': None, 'counter': 680, 'group_counter': 13, 'group_order': 98304, 'label': '24B-5', 'order': 24, 'powers': [430, 109], 'representative': 267621, 'size': 128}
  • id: 177421094
    {'aut_label': '24C1', 'centralizer': None, 'counter': 681, 'group_counter': 13, 'group_order': 98304, 'label': '24C1', 'order': 24, 'powers': [431, 101], 'representative': 454304, 'size': 128}
  • id: 177421095
    {'aut_label': '24C1', 'centralizer': None, 'counter': 682, 'group_counter': 13, 'group_order': 98304, 'label': '24C-1', 'order': 24, 'powers': [432, 102], 'representative': 167328, 'size': 128}
  • id: 177421096
    {'aut_label': '24C1', 'centralizer': None, 'counter': 683, 'group_counter': 13, 'group_order': 98304, 'label': '24C5', 'order': 24, 'powers': [431, 104], 'representative': 437936, 'size': 128}
  • id: 177421097
    {'aut_label': '24C1', 'centralizer': None, 'counter': 684, 'group_counter': 13, 'group_order': 98304, 'label': '24C-5', 'order': 24, 'powers': [432, 103], 'representative': 13429, 'size': 128}
  • id: 177421098
    {'aut_label': '24D1', 'centralizer': None, 'counter': 685, 'group_counter': 13, 'group_order': 98304, 'label': '24D1', 'order': 24, 'powers': [431, 111], 'representative': 437424, 'size': 128}
  • id: 177421099
    {'aut_label': '24D1', 'centralizer': None, 'counter': 686, 'group_counter': 13, 'group_order': 98304, 'label': '24D-1', 'order': 24, 'powers': [432, 112], 'representative': 167840, 'size': 128}
  • id: 177421100
    {'aut_label': '24D1', 'centralizer': None, 'counter': 687, 'group_counter': 13, 'group_order': 98304, 'label': '24D7', 'order': 24, 'powers': [432, 112], 'representative': 184240, 'size': 128}
  • id: 177421101
    {'aut_label': '24D1', 'centralizer': None, 'counter': 688, 'group_counter': 13, 'group_order': 98304, 'label': '24D-7', 'order': 24, 'powers': [431, 111], 'representative': 453792, 'size': 128}
  • id: 177421102
    {'aut_label': '24E1', 'centralizer': None, 'counter': 689, 'group_counter': 13, 'group_order': 98304, 'label': '24E1', 'order': 24, 'powers': [430, 113], 'representative': 425399, 'size': 128}
  • id: 177421104
    {'aut_label': '24E1', 'centralizer': None, 'counter': 690, 'group_counter': 13, 'group_order': 98304, 'label': '24E5', 'order': 24, 'powers': [429, 114], 'representative': 1025404, 'size': 128}
  • id: 177421105
    {'aut_label': '24E1', 'centralizer': None, 'counter': 691, 'group_counter': 13, 'group_order': 98304, 'label': '24E7', 'order': 24, 'powers': [429, 113], 'representative': 924847, 'size': 128}
  • id: 177421106
    {'aut_label': '24E1', 'centralizer': None, 'counter': 692, 'group_counter': 13, 'group_order': 98304, 'label': '24E11', 'order': 24, 'powers': [430, 114], 'representative': 246892, 'size': 128}
  • id: 177421107
    {'aut_label': '24F1', 'centralizer': None, 'counter': 693, 'group_counter': 13, 'group_order': 98304, 'label': '24F1', 'order': 24, 'powers': [430, 115], 'representative': 949671, 'size': 128}
  • id: 177421108
    {'aut_label': '24F1', 'centralizer': None, 'counter': 694, 'group_counter': 13, 'group_order': 98304, 'label': '24F-1', 'order': 24, 'powers': [430, 116], 'representative': 771196, 'size': 128}
  • id: 177421109
    {'aut_label': '24F1', 'centralizer': None, 'counter': 695, 'group_counter': 13, 'group_order': 98304, 'label': '24F5', 'order': 24, 'powers': [429, 116], 'representative': 1042284, 'size': 128}
  • id: 177421110
    {'aut_label': '24F1', 'centralizer': None, 'counter': 696, 'group_counter': 13, 'group_order': 98304, 'label': '24F-5', 'order': 24, 'powers': [429, 115], 'representative': 417455, 'size': 128}
  • id: 177421111
    {'aut_label': '24G1', 'centralizer': None, 'counter': 697, 'group_counter': 13, 'group_order': 98304, 'label': '24G1', 'order': 24, 'powers': [431, 98], 'representative': 163263, 'size': 128}
  • id: 177421112
    {'aut_label': '24G1', 'centralizer': None, 'counter': 698, 'group_counter': 13, 'group_order': 98304, 'label': '24G-1', 'order': 24, 'powers': [432, 97], 'representative': 255844, 'size': 128}
  • id: 177421113
    {'aut_label': '24G1', 'centralizer': None, 'counter': 699, 'group_counter': 13, 'group_order': 98304, 'label': '24G5', 'order': 24, 'powers': [431, 99], 'representative': 509028, 'size': 128}
  • id: 177421116
    {'aut_label': '24G1', 'centralizer': None, 'counter': 700, 'group_counter': 13, 'group_order': 98304, 'label': '24G-5', 'order': 24, 'powers': [432, 100], 'representative': 155319, 'size': 128}
  • id: 177421117
    {'aut_label': '24H1', 'centralizer': None, 'counter': 701, 'group_counter': 13, 'group_order': 98304, 'label': '24H1', 'order': 24, 'powers': [432, 106], 'representative': 679591, 'size': 128}
  • id: 177421118
    {'aut_label': '24H1', 'centralizer': None, 'counter': 702, 'group_counter': 13, 'group_order': 98304, 'label': '24H-1', 'order': 24, 'powers': [431, 105], 'representative': 493172, 'size': 128}
  • id: 177421119
    {'aut_label': '24H1', 'centralizer': None, 'counter': 703, 'group_counter': 13, 'group_order': 98304, 'label': '24H7', 'order': 24, 'powers': [431, 105], 'representative': 671679, 'size': 128}
  • id: 177421120
    {'aut_label': '24H1', 'centralizer': None, 'counter': 704, 'group_counter': 13, 'group_order': 98304, 'label': '24H-7', 'order': 24, 'powers': [432, 106], 'representative': 780148, 'size': 128}
  • id: 177421121
    {'aut_label': '24I1', 'centralizer': None, 'counter': 705, 'group_counter': 13, 'group_order': 98304, 'label': '24I1', 'order': 24, 'powers': [441, 153], 'representative': 1021292, 'size': 128}
  • id: 177421122
    {'aut_label': '24I1', 'centralizer': None, 'counter': 706, 'group_counter': 13, 'group_order': 98304, 'label': '24I-1', 'order': 24, 'powers': [442, 154], 'representative': 924971, 'size': 128}
  • id: 177421123
    {'aut_label': '24I1', 'centralizer': None, 'counter': 707, 'group_counter': 13, 'group_order': 98304, 'label': '24I5', 'order': 24, 'powers': [443, 156], 'representative': 632564, 'size': 128}
  • id: 177421124
    {'aut_label': '24I1', 'centralizer': None, 'counter': 708, 'group_counter': 13, 'group_order': 98304, 'label': '24I-5', 'order': 24, 'powers': [444, 155], 'representative': 521844, 'size': 128}
  • id: 177421125
    {'aut_label': '24I1', 'centralizer': None, 'counter': 709, 'group_counter': 13, 'group_order': 98304, 'label': '24I7', 'order': 24, 'powers': [444, 154], 'representative': 504932, 'size': 128}
  • id: 177421127
    {'aut_label': '24I1', 'centralizer': None, 'counter': 710, 'group_counter': 13, 'group_order': 98304, 'label': '24I-7', 'order': 24, 'powers': [443, 153], 'representative': 679731, 'size': 128}
  • id: 177421128
    {'aut_label': '24I1', 'centralizer': None, 'counter': 711, 'group_counter': 13, 'group_order': 98304, 'label': '24I11', 'order': 24, 'powers': [442, 155], 'representative': 400699, 'size': 128}
  • id: 177421129
    {'aut_label': '24I1', 'centralizer': None, 'counter': 712, 'group_counter': 13, 'group_order': 98304, 'label': '24I-11', 'order': 24, 'powers': [441, 156], 'representative': 1038204, 'size': 128}
  • id: 177421130
    {'aut_label': '24I1', 'centralizer': None, 'counter': 713, 'group_counter': 13, 'group_order': 98304, 'label': '24J1', 'order': 24, 'powers': [445, 157], 'representative': 146475, 'size': 128}
  • id: 177421131
    {'aut_label': '24I1', 'centralizer': None, 'counter': 714, 'group_counter': 13, 'group_order': 98304, 'label': '24J-1', 'order': 24, 'powers': [446, 158], 'representative': 759652, 'size': 128}
  • id: 177421132
    {'aut_label': '24I1', 'centralizer': None, 'counter': 715, 'group_counter': 13, 'group_order': 98304, 'label': '24J5', 'order': 24, 'powers': [447, 160], 'representative': 259692, 'size': 128}
  • id: 177421133
    {'aut_label': '24I1', 'centralizer': None, 'counter': 716, 'group_counter': 13, 'group_order': 98304, 'label': '24J-5', 'order': 24, 'powers': [448, 159], 'representative': 949795, 'size': 128}
  • id: 177421134
    {'aut_label': '24I1', 'centralizer': None, 'counter': 717, 'group_counter': 13, 'group_order': 98304, 'label': '24J7', 'order': 24, 'powers': [448, 158], 'representative': 425523, 'size': 128}
  • id: 177421135
    {'aut_label': '24I1', 'centralizer': None, 'counter': 718, 'group_counter': 13, 'group_order': 98304, 'label': '24J-7', 'order': 24, 'powers': [447, 157], 'representative': 920999, 'size': 128}
  • id: 177421136
    {'aut_label': '24I1', 'centralizer': None, 'counter': 719, 'group_counter': 13, 'group_order': 98304, 'label': '24J11', 'order': 24, 'powers': [446, 159], 'representative': 159399, 'size': 128}
  • id: 177421138
    {'aut_label': '24I1', 'centralizer': None, 'counter': 720, 'group_counter': 13, 'group_order': 98304, 'label': '24J-11', 'order': 24, 'powers': [445, 160], 'representative': 670779, 'size': 128}
  • id: 177421139
    {'aut_label': '24I1', 'centralizer': None, 'counter': 721, 'group_counter': 13, 'group_order': 98304, 'label': '24K1', 'order': 24, 'powers': [443, 161], 'representative': 433452, 'size': 128}
  • id: 177421140
    {'aut_label': '24I1', 'centralizer': None, 'counter': 722, 'group_counter': 13, 'group_order': 98304, 'label': '24K-1', 'order': 24, 'powers': [444, 162], 'representative': 947825, 'size': 128}
  • id: 177421141
    {'aut_label': '24I1', 'centralizer': None, 'counter': 723, 'group_counter': 13, 'group_order': 98304, 'label': '24K5', 'order': 24, 'powers': [441, 164], 'representative': 153441, 'size': 128}
  • id: 177421142
    {'aut_label': '24I1', 'centralizer': None, 'counter': 724, 'group_counter': 13, 'group_order': 98304, 'label': '24K-5', 'order': 24, 'powers': [442, 163], 'representative': 711972, 'size': 128}
  • id: 177421143
    {'aut_label': '24I1', 'centralizer': None, 'counter': 725, 'group_counter': 13, 'group_order': 98304, 'label': '24K7', 'order': 24, 'powers': [442, 162], 'representative': 712484, 'size': 128}
  • id: 177421144
    {'aut_label': '24I1', 'centralizer': None, 'counter': 726, 'group_counter': 13, 'group_order': 98304, 'label': '24K-7', 'order': 24, 'powers': [441, 161], 'representative': 677729, 'size': 128}
  • id: 177421145
    {'aut_label': '24I1', 'centralizer': None, 'counter': 727, 'group_counter': 13, 'group_order': 98304, 'label': '24K11', 'order': 24, 'powers': [444, 163], 'representative': 423537, 'size': 128}
  • id: 177421146
    {'aut_label': '24I1', 'centralizer': None, 'counter': 728, 'group_counter': 13, 'group_order': 98304, 'label': '24K-11', 'order': 24, 'powers': [443, 164], 'representative': 433964, 'size': 128}
  • id: 177421147
    {'aut_label': '24I1', 'centralizer': None, 'counter': 729, 'group_counter': 13, 'group_order': 98304, 'label': '24L1', 'order': 24, 'powers': [443, 165], 'representative': 679715, 'size': 128}
  • id: 177421149
    {'aut_label': '24I1', 'centralizer': None, 'counter': 730, 'group_counter': 13, 'group_order': 98304, 'label': '24L-1', 'order': 24, 'powers': [444, 166], 'representative': 521332, 'size': 128}
  • id: 177421150
    {'aut_label': '24I1', 'centralizer': None, 'counter': 731, 'group_counter': 13, 'group_order': 98304, 'label': '24L5', 'order': 24, 'powers': [441, 168], 'representative': 1021804, 'size': 128}
  • id: 177421151
    {'aut_label': '24I1', 'centralizer': None, 'counter': 732, 'group_counter': 13, 'group_order': 98304, 'label': '24L-5', 'order': 24, 'powers': [442, 167], 'representative': 400683, 'size': 128}
  • id: 177421152
    {'aut_label': '24I1', 'centralizer': None, 'counter': 733, 'group_counter': 13, 'group_order': 98304, 'label': '24L7', 'order': 24, 'powers': [442, 166], 'representative': 924987, 'size': 128}
  • id: 177421153
    {'aut_label': '24I1', 'centralizer': None, 'counter': 734, 'group_counter': 13, 'group_order': 98304, 'label': '24L-7', 'order': 24, 'powers': [441, 165], 'representative': 1037692, 'size': 128}
  • id: 177421154
    {'aut_label': '24I1', 'centralizer': None, 'counter': 735, 'group_counter': 13, 'group_order': 98304, 'label': '24L11', 'order': 24, 'powers': [444, 167], 'representative': 505444, 'size': 128}
  • id: 177421155
    {'aut_label': '24I1', 'centralizer': None, 'counter': 736, 'group_counter': 13, 'group_order': 98304, 'label': '24L-11', 'order': 24, 'powers': [443, 168], 'representative': 155443, 'size': 128}
  • id: 177421156
    {'aut_label': '24I1', 'centralizer': None, 'counter': 737, 'group_counter': 13, 'group_order': 98304, 'label': '24M1', 'order': 24, 'powers': [445, 169], 'representative': 146491, 'size': 128}
  • id: 177421157
    {'aut_label': '24I1', 'centralizer': None, 'counter': 738, 'group_counter': 13, 'group_order': 98304, 'label': '24M-1', 'order': 24, 'powers': [446, 170], 'representative': 776052, 'size': 128}
  • id: 177421158
    {'aut_label': '24I1', 'centralizer': None, 'counter': 739, 'group_counter': 13, 'group_order': 98304, 'label': '24M5', 'order': 24, 'powers': [447, 172], 'representative': 396727, 'size': 128}
  • id: 177421160
    {'aut_label': '24I1', 'centralizer': None, 'counter': 740, 'group_counter': 13, 'group_order': 98304, 'label': '24M-5', 'order': 24, 'powers': [448, 171], 'representative': 949811, 'size': 128}
  • id: 177421161
    {'aut_label': '24I1', 'centralizer': None, 'counter': 741, 'group_counter': 13, 'group_order': 98304, 'label': '24M7', 'order': 24, 'powers': [448, 170], 'representative': 425507, 'size': 128}
  • id: 177421162
    {'aut_label': '24I1', 'centralizer': None, 'counter': 742, 'group_counter': 13, 'group_order': 98304, 'label': '24M-7', 'order': 24, 'powers': [447, 169], 'representative': 921015, 'size': 128}
  • id: 177421163
    {'aut_label': '24I1', 'centralizer': None, 'counter': 743, 'group_counter': 13, 'group_order': 98304, 'label': '24M11', 'order': 24, 'powers': [446, 171], 'representative': 759140, 'size': 128}
  • id: 177421164
    {'aut_label': '24I1', 'centralizer': None, 'counter': 744, 'group_counter': 13, 'group_order': 98304, 'label': '24M-11', 'order': 24, 'powers': [445, 172], 'representative': 670763, 'size': 128}
  • id: 177421165
    {'aut_label': '24I1', 'centralizer': None, 'counter': 745, 'group_counter': 13, 'group_order': 98304, 'label': '24N1', 'order': 24, 'powers': [443, 173], 'representative': 449852, 'size': 128}
  • id: 177421166
    {'aut_label': '24I1', 'centralizer': None, 'counter': 746, 'group_counter': 13, 'group_order': 98304, 'label': '24N-1', 'order': 24, 'powers': [444, 174], 'representative': 947809, 'size': 128}
  • id: 177421167
    {'aut_label': '24I1', 'centralizer': None, 'counter': 747, 'group_counter': 13, 'group_order': 98304, 'label': '24N5', 'order': 24, 'powers': [441, 176], 'representative': 153457, 'size': 128}
  • id: 177421168
    {'aut_label': '24I1', 'centralizer': None, 'counter': 748, 'group_counter': 13, 'group_order': 98304, 'label': '24N-5', 'order': 24, 'powers': [442, 175], 'representative': 695604, 'size': 128}
  • id: 177421169
    {'aut_label': '24I1', 'centralizer': None, 'counter': 749, 'group_counter': 13, 'group_order': 98304, 'label': '24N7', 'order': 24, 'powers': [442, 174], 'representative': 696116, 'size': 128}
  • id: 177421171
    {'aut_label': '24I1', 'centralizer': None, 'counter': 750, 'group_counter': 13, 'group_order': 98304, 'label': '24N-7', 'order': 24, 'powers': [441, 173], 'representative': 677745, 'size': 128}
  • id: 177421172
    {'aut_label': '24I1', 'centralizer': None, 'counter': 751, 'group_counter': 13, 'group_order': 98304, 'label': '24N11', 'order': 24, 'powers': [444, 175], 'representative': 561084, 'size': 128}
  • id: 177421173
    {'aut_label': '24I1', 'centralizer': None, 'counter': 752, 'group_counter': 13, 'group_order': 98304, 'label': '24N-11', 'order': 24, 'powers': [443, 176], 'representative': 450364, 'size': 128}
  • id: 177421174
    {'aut_label': '24I1', 'centralizer': None, 'counter': 753, 'group_counter': 13, 'group_order': 98304, 'label': '24O1', 'order': 24, 'powers': [447, 177], 'representative': 298932, 'size': 128}
  • id: 177421175
    {'aut_label': '24I1', 'centralizer': None, 'counter': 754, 'group_counter': 13, 'group_order': 98304, 'label': '24O-1', 'order': 24, 'powers': [448, 178], 'representative': 966180, 'size': 128}
  • id: 177421176
    {'aut_label': '24I1', 'centralizer': None, 'counter': 755, 'group_counter': 13, 'group_order': 98304, 'label': '24O5', 'order': 24, 'powers': [445, 180], 'representative': 179244, 'size': 128}
  • id: 177421177
    {'aut_label': '24I1', 'centralizer': None, 'counter': 756, 'group_counter': 13, 'group_order': 98304, 'label': '24O-5', 'order': 24, 'powers': [446, 179], 'representative': 923001, 'size': 128}
  • id: 177421178
    {'aut_label': '24I1', 'centralizer': None, 'counter': 757, 'group_counter': 13, 'group_order': 98304, 'label': '24O7', 'order': 24, 'powers': [446, 178], 'representative': 398713, 'size': 128}
  • id: 177421179
    {'aut_label': '24I1', 'centralizer': None, 'counter': 758, 'group_counter': 13, 'group_order': 98304, 'label': '24O-7', 'order': 24, 'powers': [445, 177], 'representative': 179756, 'size': 128}
  • id: 177421180
    {'aut_label': '24I1', 'centralizer': None, 'counter': 759, 'group_counter': 13, 'group_order': 98304, 'label': '24O11', 'order': 24, 'powers': [448, 179], 'representative': 965668, 'size': 128}
  • id: 177421182
    {'aut_label': '24I1', 'centralizer': None, 'counter': 760, 'group_counter': 13, 'group_order': 98304, 'label': '24O-11', 'order': 24, 'powers': [447, 180], 'representative': 314788, 'size': 128}
  • id: 177421183
    {'aut_label': '24I1', 'centralizer': None, 'counter': 761, 'group_counter': 13, 'group_order': 98304, 'label': '24P1', 'order': 24, 'powers': [445, 181], 'representative': 196156, 'size': 128}
  • id: 177421184
    {'aut_label': '24I1', 'centralizer': None, 'counter': 762, 'group_counter': 13, 'group_order': 98304, 'label': '24P-1', 'order': 24, 'powers': [446, 182], 'representative': 847036, 'size': 128}
  • id: 177421185
    {'aut_label': '24I1', 'centralizer': None, 'counter': 763, 'group_counter': 13, 'group_order': 98304, 'label': '24P5', 'order': 24, 'powers': [447, 184], 'representative': 298420, 'size': 128}
  • id: 177421186
    {'aut_label': '24I1', 'centralizer': None, 'counter': 764, 'group_counter': 13, 'group_order': 98304, 'label': '24P-5', 'order': 24, 'powers': [448, 183], 'representative': 982068, 'size': 128}
  • id: 177421187
    {'aut_label': '24I1', 'centralizer': None, 'counter': 765, 'group_counter': 13, 'group_order': 98304, 'label': '24P7', 'order': 24, 'powers': [448, 182], 'representative': 982580, 'size': 128}
  • id: 177421188
    {'aut_label': '24I1', 'centralizer': None, 'counter': 766, 'group_counter': 13, 'group_order': 98304, 'label': '24P-7', 'order': 24, 'powers': [447, 181], 'representative': 315300, 'size': 128}
  • id: 177421189
    {'aut_label': '24I1', 'centralizer': None, 'counter': 767, 'group_counter': 13, 'group_order': 98304, 'label': '24P11', 'order': 24, 'powers': [446, 183], 'representative': 922985, 'size': 128}
  • id: 177421190
    {'aut_label': '24I1', 'centralizer': None, 'counter': 768, 'group_counter': 13, 'group_order': 98304, 'label': '24P-11', 'order': 24, 'powers': [445, 184], 'representative': 411637, 'size': 128}
  • id: 177421191
    {'aut_label': '48A1', 'centralizer': None, 'counter': 769, 'group_counter': 13, 'group_order': 98304, 'label': '48A1', 'order': 48, 'powers': [689, 449], 'representative': 181354, 'size': 128}
  • id: 177421193
    {'aut_label': '48A1', 'centralizer': None, 'counter': 770, 'group_counter': 13, 'group_order': 98304, 'label': '48A-1', 'order': 48, 'powers': [689, 450], 'representative': 67567, 'size': 128}
  • id: 177421194
    {'aut_label': '48A1', 'centralizer': None, 'counter': 771, 'group_counter': 13, 'group_order': 98304, 'label': '48A5', 'order': 48, 'powers': [690, 453], 'representative': 87395, 'size': 128}
  • id: 177421195
    {'aut_label': '48A1', 'centralizer': None, 'counter': 772, 'group_counter': 13, 'group_order': 98304, 'label': '48A-5', 'order': 48, 'powers': [690, 454], 'representative': 562666, 'size': 128}
  • id: 177421196
    {'aut_label': '48A1', 'centralizer': None, 'counter': 773, 'group_counter': 13, 'group_order': 98304, 'label': '48A7', 'order': 48, 'powers': [691, 455], 'representative': 308458, 'size': 128}
  • id: 177421197
    {'aut_label': '48A1', 'centralizer': None, 'counter': 774, 'group_counter': 13, 'group_order': 98304, 'label': '48A-7', 'order': 48, 'powers': [691, 456], 'representative': 79467, 'size': 128}
  • id: 177421198
    {'aut_label': '48A1', 'centralizer': None, 'counter': 775, 'group_counter': 13, 'group_order': 98304, 'label': '48A11', 'order': 48, 'powers': [692, 454], 'representative': 91367, 'size': 128}
  • id: 177421199
    {'aut_label': '48A1', 'centralizer': None, 'counter': 776, 'group_counter': 13, 'group_order': 98304, 'label': '48A-11', 'order': 48, 'powers': [692, 453], 'representative': 991033, 'size': 128}
  • id: 177421200
    {'aut_label': '48A1', 'centralizer': None, 'counter': 777, 'group_counter': 13, 'group_order': 98304, 'label': '48A13', 'order': 48, 'powers': [692, 452], 'representative': 991017, 'size': 128}
  • id: 177421201
    {'aut_label': '48A1', 'centralizer': None, 'counter': 778, 'group_counter': 13, 'group_order': 98304, 'label': '48A-13', 'order': 48, 'powers': [692, 451], 'representative': 646310, 'size': 128}
  • id: 177421202
    {'aut_label': '48A1', 'centralizer': None, 'counter': 779, 'group_counter': 13, 'group_order': 98304, 'label': '48A17', 'order': 48, 'powers': [691, 449], 'representative': 79483, 'size': 128}
  • id: 177421204
    {'aut_label': '48A1', 'centralizer': None, 'counter': 780, 'group_counter': 13, 'group_order': 98304, 'label': '48A-17', 'order': 48, 'powers': [691, 450], 'representative': 324858, 'size': 128}
  • id: 177421205
    {'aut_label': '48A1', 'centralizer': None, 'counter': 781, 'group_counter': 13, 'group_order': 98304, 'label': '48A19', 'order': 48, 'powers': [690, 451], 'representative': 579066, 'size': 128}
  • id: 177421206
    {'aut_label': '48A1', 'centralizer': None, 'counter': 782, 'group_counter': 13, 'group_order': 98304, 'label': '48A-19', 'order': 48, 'powers': [690, 452], 'representative': 519206, 'size': 128}
  • id: 177421207
    {'aut_label': '48A1', 'centralizer': None, 'counter': 783, 'group_counter': 13, 'group_order': 98304, 'label': '48A23', 'order': 48, 'powers': [689, 455], 'representative': 67583, 'size': 128}
  • id: 177421208
    {'aut_label': '48A1', 'centralizer': None, 'counter': 784, 'group_counter': 13, 'group_order': 98304, 'label': '48A-23', 'order': 48, 'powers': [689, 456], 'representative': 164986, 'size': 128}
  • id: 177421209
    {'aut_label': '48A1', 'centralizer': None, 'counter': 785, 'group_counter': 13, 'group_order': 98304, 'label': '48B1', 'order': 48, 'powers': [689, 457], 'representative': 165498, 'size': 128}
  • id: 177421210
    {'aut_label': '48A1', 'centralizer': None, 'counter': 786, 'group_counter': 13, 'group_order': 98304, 'label': '48B-1', 'order': 48, 'powers': [689, 458], 'representative': 591871, 'size': 128}
  • id: 177421211
    {'aut_label': '48A1', 'centralizer': None, 'counter': 787, 'group_counter': 13, 'group_order': 98304, 'label': '48B5', 'order': 48, 'powers': [690, 461], 'representative': 611699, 'size': 128}
  • id: 177421212
    {'aut_label': '48A1', 'centralizer': None, 'counter': 788, 'group_counter': 13, 'group_order': 98304, 'label': '48B-5', 'order': 48, 'powers': [690, 462], 'representative': 579578, 'size': 128}
  • id: 177421213
    {'aut_label': '48A1', 'centralizer': None, 'counter': 789, 'group_counter': 13, 'group_order': 98304, 'label': '48B7', 'order': 48, 'powers': [691, 463], 'representative': 325370, 'size': 128}
  • id: 177421215
    {'aut_label': '48A1', 'centralizer': None, 'counter': 790, 'group_counter': 13, 'group_order': 98304, 'label': '48B-7', 'order': 48, 'powers': [691, 464], 'representative': 603771, 'size': 128}
  • id: 177421216
    {'aut_label': '48A1', 'centralizer': None, 'counter': 791, 'group_counter': 13, 'group_order': 98304, 'label': '48B11', 'order': 48, 'powers': [692, 462], 'representative': 630454, 'size': 128}
  • id: 177421217
    {'aut_label': '48A1', 'centralizer': None, 'counter': 792, 'group_counter': 13, 'group_order': 98304, 'label': '48B-11', 'order': 48, 'powers': [692, 461], 'representative': 466745, 'size': 128}
  • id: 177421218
    {'aut_label': '48A1', 'centralizer': None, 'counter': 793, 'group_counter': 13, 'group_order': 98304, 'label': '48B13', 'order': 48, 'powers': [692, 460], 'representative': 959866, 'size': 128}
  • id: 177421219
    {'aut_label': '48A1', 'centralizer': None, 'counter': 794, 'group_counter': 13, 'group_order': 98304, 'label': '48B-13', 'order': 48, 'powers': [692, 459], 'representative': 646822, 'size': 128}
  • id: 177421220
    {'aut_label': '48A1', 'centralizer': None, 'counter': 795, 'group_counter': 13, 'group_order': 98304, 'label': '48B17', 'order': 48, 'powers': [691, 457], 'representative': 603755, 'size': 128}
  • id: 177421221
    {'aut_label': '48A1', 'centralizer': None, 'counter': 796, 'group_counter': 13, 'group_order': 98304, 'label': '48B-17', 'order': 48, 'powers': [691, 458], 'representative': 308970, 'size': 128}
  • id: 177421222
    {'aut_label': '48A1', 'centralizer': None, 'counter': 797, 'group_counter': 13, 'group_order': 98304, 'label': '48B19', 'order': 48, 'powers': [690, 459], 'representative': 563178, 'size': 128}
  • id: 177421223
    {'aut_label': '48A1', 'centralizer': None, 'counter': 798, 'group_counter': 13, 'group_order': 98304, 'label': '48B-19', 'order': 48, 'powers': [690, 460], 'representative': 611683, 'size': 128}
  • id: 177421224
    {'aut_label': '48A1', 'centralizer': None, 'counter': 799, 'group_counter': 13, 'group_order': 98304, 'label': '48B23', 'order': 48, 'powers': [689, 463], 'representative': 591855, 'size': 128}
  • id: 177421227
    {'aut_label': '48A1', 'centralizer': None, 'counter': 800, 'group_counter': 13, 'group_order': 98304, 'label': '48B-23', 'order': 48, 'powers': [689, 464], 'representative': 181866, 'size': 128}
  • id: 177421228
    {'aut_label': '48C1', 'centralizer': None, 'counter': 801, 'group_counter': 13, 'group_order': 98304, 'label': '48C1', 'order': 48, 'powers': [693, 465], 'representative': 190322, 'size': 128}
  • id: 177421229
    {'aut_label': '48C1', 'centralizer': None, 'counter': 802, 'group_counter': 13, 'group_order': 98304, 'label': '48C-1', 'order': 48, 'powers': [694, 466], 'representative': 329719, 'size': 128}
  • id: 177421230
    {'aut_label': '48C1', 'centralizer': None, 'counter': 803, 'group_counter': 13, 'group_order': 98304, 'label': '48C5', 'order': 48, 'powers': [695, 469], 'representative': 873851, 'size': 128}
  • id: 177421231
    {'aut_label': '48C1', 'centralizer': None, 'counter': 804, 'group_counter': 13, 'group_order': 98304, 'label': '48C-5', 'order': 48, 'powers': [696, 470], 'representative': 587490, 'size': 128}
  • id: 177421232
    {'aut_label': '48C1', 'centralizer': None, 'counter': 805, 'group_counter': 13, 'group_order': 98304, 'label': '48C7', 'order': 48, 'powers': [695, 471], 'representative': 300514, 'size': 128}
  • id: 177421233
    {'aut_label': '48C1', 'centralizer': None, 'counter': 806, 'group_counter': 13, 'group_order': 98304, 'label': '48C-7', 'order': 48, 'powers': [696, 472], 'representative': 494894, 'size': 128}
  • id: 177421234
    {'aut_label': '48C1', 'centralizer': None, 'counter': 807, 'group_counter': 13, 'group_order': 98304, 'label': '48C11', 'order': 48, 'powers': [693, 470], 'representative': 353519, 'size': 128}
  • id: 177421235
    {'aut_label': '48C1', 'centralizer': None, 'counter': 808, 'group_counter': 13, 'group_order': 98304, 'label': '48C-11', 'order': 48, 'powers': [694, 469], 'representative': 968290, 'size': 128}
  • id: 177421236
    {'aut_label': '48C1', 'centralizer': None, 'counter': 809, 'group_counter': 13, 'group_order': 98304, 'label': '48C13', 'order': 48, 'powers': [694, 468], 'representative': 951922, 'size': 128}
  • id: 177421238
    {'aut_label': '48C1', 'centralizer': None, 'counter': 810, 'group_counter': 13, 'group_order': 98304, 'label': '48C-13', 'order': 48, 'powers': [693, 467], 'representative': 353535, 'size': 128}
  • id: 177421239
    {'aut_label': '48C1', 'centralizer': None, 'counter': 811, 'group_counter': 13, 'group_order': 98304, 'label': '48C17', 'order': 48, 'powers': [696, 465], 'representative': 511294, 'size': 128}
  • id: 177421240
    {'aut_label': '48C1', 'centralizer': None, 'counter': 812, 'group_counter': 13, 'group_order': 98304, 'label': '48C-17', 'order': 48, 'powers': [695, 466], 'representative': 732837, 'size': 128}
  • id: 177421241
    {'aut_label': '48C1', 'centralizer': None, 'counter': 813, 'group_counter': 13, 'group_order': 98304, 'label': '48C19', 'order': 48, 'powers': [696, 467], 'representative': 571122, 'size': 128}
  • id: 177421242
    {'aut_label': '48C1', 'centralizer': None, 'counter': 814, 'group_counter': 13, 'group_order': 98304, 'label': '48C-19', 'order': 48, 'powers': [695, 468], 'representative': 873835, 'size': 128}
  • id: 177421243
    {'aut_label': '48C1', 'centralizer': None, 'counter': 815, 'group_counter': 13, 'group_order': 98304, 'label': '48C23', 'order': 48, 'powers': [694, 471], 'representative': 329703, 'size': 128}
  • id: 177421244
    {'aut_label': '48C1', 'centralizer': None, 'counter': 816, 'group_counter': 13, 'group_order': 98304, 'label': '48C-23', 'order': 48, 'powers': [693, 472], 'representative': 173922, 'size': 128}
  • id: 177421245
    {'aut_label': '48D1', 'centralizer': None, 'counter': 817, 'group_counter': 13, 'group_order': 98304, 'label': '48D1', 'order': 48, 'powers': [697, 473], 'representative': 447990, 'size': 128}
  • id: 177421246
    {'aut_label': '48D1', 'centralizer': None, 'counter': 818, 'group_counter': 13, 'group_order': 98304, 'label': '48D-1', 'order': 48, 'powers': [698, 474], 'representative': 468211, 'size': 128}
  • id: 177421247
    {'aut_label': '48D1', 'centralizer': None, 'counter': 819, 'group_counter': 13, 'group_order': 98304, 'label': '48D5', 'order': 48, 'powers': [699, 477], 'representative': 226943, 'size': 128}
  • id: 177421249
    {'aut_label': '48D1', 'centralizer': None, 'counter': 820, 'group_counter': 13, 'group_order': 98304, 'label': '48D-5', 'order': 48, 'powers': [700, 478], 'representative': 820334, 'size': 128}
  • id: 177421250
    {'aut_label': '48D1', 'centralizer': None, 'counter': 821, 'group_counter': 13, 'group_order': 98304, 'label': '48D7', 'order': 48, 'powers': [698, 479], 'representative': 583038, 'size': 128}
  • id: 177421251
    {'aut_label': '48D1', 'centralizer': None, 'counter': 822, 'group_counter': 13, 'group_order': 98304, 'label': '48D-7', 'order': 48, 'powers': [697, 480], 'representative': 743287, 'size': 128}
  • id: 177421252
    {'aut_label': '48D1', 'centralizer': None, 'counter': 823, 'group_counter': 13, 'group_order': 98304, 'label': '48D11', 'order': 48, 'powers': [700, 478], 'representative': 245170, 'size': 128}
  • id: 177421253
    {'aut_label': '48D1', 'centralizer': None, 'counter': 824, 'group_counter': 13, 'group_order': 98304, 'label': '48D-11', 'order': 48, 'powers': [699, 477], 'representative': 194294, 'size': 128}
  • id: 177421254
    {'aut_label': '48D1', 'centralizer': None, 'counter': 825, 'group_counter': 13, 'group_order': 98304, 'label': '48D13', 'order': 48, 'powers': [699, 476], 'representative': 177894, 'size': 128}
  • id: 177421255
    {'aut_label': '48D1', 'centralizer': None, 'counter': 826, 'group_counter': 13, 'group_order': 98304, 'label': '48D-13', 'order': 48, 'powers': [700, 475], 'representative': 261538, 'size': 128}
  • id: 177421256
    {'aut_label': '48D1', 'centralizer': None, 'counter': 827, 'group_counter': 13, 'group_order': 98304, 'label': '48D17', 'order': 48, 'powers': [697, 473], 'representative': 743271, 'size': 128}
  • id: 177421257
    {'aut_label': '48D1', 'centralizer': None, 'counter': 828, 'group_counter': 13, 'group_order': 98304, 'label': '48D-17', 'order': 48, 'powers': [698, 474], 'representative': 597293, 'size': 128}
  • id: 177421258
    {'aut_label': '48D1', 'centralizer': None, 'counter': 829, 'group_counter': 13, 'group_order': 98304, 'label': '48D19', 'order': 48, 'powers': [700, 475], 'representative': 97845, 'size': 128}
  • id: 177421260
    {'aut_label': '48D1', 'centralizer': None, 'counter': 830, 'group_counter': 13, 'group_order': 98304, 'label': '48D-19', 'order': 48, 'powers': [699, 476], 'representative': 226927, 'size': 128}
  • id: 177421261
    {'aut_label': '48D1', 'centralizer': None, 'counter': 831, 'group_counter': 13, 'group_order': 98304, 'label': '48D23', 'order': 48, 'powers': [698, 479], 'representative': 468195, 'size': 128}
  • id: 177421262
    {'aut_label': '48D1', 'centralizer': None, 'counter': 832, 'group_counter': 13, 'group_order': 98304, 'label': '48D-23', 'order': 48, 'powers': [697, 480], 'representative': 431590, 'size': 128}
  • id: 177421263
    {'aut_label': '48D1', 'centralizer': None, 'counter': 833, 'group_counter': 13, 'group_order': 98304, 'label': '48E1', 'order': 48, 'powers': [699, 481], 'representative': 751215, 'size': 128}
  • id: 177421264
    {'aut_label': '48D1', 'centralizer': None, 'counter': 834, 'group_counter': 13, 'group_order': 98304, 'label': '48E-1', 'order': 48, 'powers': [700, 482], 'representative': 622117, 'size': 128}
  • id: 177421265
    {'aut_label': '48D1', 'centralizer': None, 'counter': 835, 'group_counter': 13, 'group_order': 98304, 'label': '48E5', 'order': 48, 'powers': [697, 485], 'representative': 448502, 'size': 128}
  • id: 177421266
    {'aut_label': '48D1', 'centralizer': None, 'counter': 836, 'group_counter': 13, 'group_order': 98304, 'label': '48E-5', 'order': 48, 'powers': [698, 486], 'representative': 515746, 'size': 128}
  • id: 177421267
    {'aut_label': '48D1', 'centralizer': None, 'counter': 837, 'group_counter': 13, 'group_order': 98304, 'label': '48E7', 'order': 48, 'powers': [700, 487], 'representative': 262050, 'size': 128}
  • id: 177421268
    {'aut_label': '48D1', 'centralizer': None, 'counter': 838, 'group_counter': 13, 'group_order': 98304, 'label': '48E-7', 'order': 48, 'powers': [699, 488], 'representative': 193782, 'size': 128}
  • id: 177421269
    {'aut_label': '48D1', 'centralizer': None, 'counter': 839, 'group_counter': 13, 'group_order': 98304, 'label': '48E11', 'order': 48, 'powers': [698, 486], 'representative': 73021, 'size': 128}
  • id: 177421271
    {'aut_label': '48D1', 'centralizer': None, 'counter': 840, 'group_counter': 13, 'group_order': 98304, 'label': '48E-11', 'order': 48, 'powers': [697, 485], 'representative': 218983, 'size': 128}
  • id: 177421272
    {'aut_label': '48D1', 'centralizer': None, 'counter': 841, 'group_counter': 13, 'group_order': 98304, 'label': '48E13', 'order': 48, 'powers': [697, 484], 'representative': 218999, 'size': 128}
  • id: 177421273
    {'aut_label': '48D1', 'centralizer': None, 'counter': 842, 'group_counter': 13, 'group_order': 98304, 'label': '48E-13', 'order': 48, 'powers': [698, 483], 'representative': 73005, 'size': 128}
  • id: 177421274
    {'aut_label': '48D1', 'centralizer': None, 'counter': 843, 'group_counter': 13, 'group_order': 98304, 'label': '48E17', 'order': 48, 'powers': [699, 481], 'representative': 331169, 'size': 128}
  • id: 177421275
    {'aut_label': '48D1', 'centralizer': None, 'counter': 844, 'group_counter': 13, 'group_order': 98304, 'label': '48E-17', 'order': 48, 'powers': [700, 482], 'representative': 245682, 'size': 128}
  • id: 177421276
    {'aut_label': '48D1', 'centralizer': None, 'counter': 845, 'group_counter': 13, 'group_order': 98304, 'label': '48E19', 'order': 48, 'powers': [698, 483], 'representative': 992483, 'size': 128}
  • id: 177421277
    {'aut_label': '48D1', 'centralizer': None, 'counter': 846, 'group_counter': 13, 'group_order': 98304, 'label': '48E-19', 'order': 48, 'powers': [697, 484], 'representative': 432102, 'size': 128}
  • id: 177421278
    {'aut_label': '48D1', 'centralizer': None, 'counter': 847, 'group_counter': 13, 'group_order': 98304, 'label': '48E23', 'order': 48, 'powers': [700, 487], 'representative': 622133, 'size': 128}
  • id: 177421279
    {'aut_label': '48D1', 'centralizer': None, 'counter': 848, 'group_counter': 13, 'group_order': 98304, 'label': '48E-23', 'order': 48, 'powers': [699, 488], 'representative': 751231, 'size': 128}
  • id: 177421280
    {'aut_label': '48F1', 'centralizer': None, 'counter': 849, 'group_counter': 13, 'group_order': 98304, 'label': '48F1', 'order': 48, 'powers': [701, 489], 'representative': 236714, 'size': 128}
  • id: 177421282
    {'aut_label': '48F1', 'centralizer': None, 'counter': 850, 'group_counter': 13, 'group_order': 98304, 'label': '48F-1', 'order': 48, 'powers': [702, 490], 'representative': 440046, 'size': 128}
  • id: 177421283
    {'aut_label': '48F1', 'centralizer': None, 'counter': 851, 'group_counter': 13, 'group_order': 98304, 'label': '48F5', 'order': 48, 'powers': [701, 493], 'representative': 829302, 'size': 128}
  • id: 177421284
    {'aut_label': '48F1', 'centralizer': None, 'counter': 852, 'group_counter': 13, 'group_order': 98304, 'label': '48F-5', 'order': 48, 'powers': [702, 494], 'representative': 489063, 'size': 128}
  • id: 177421285
    {'aut_label': '48F1', 'centralizer': None, 'counter': 853, 'group_counter': 13, 'group_order': 98304, 'label': '48F7', 'order': 48, 'powers': [703, 495], 'representative': 1005439, 'size': 128}
  • id: 177421286
    {'aut_label': '48F1', 'centralizer': None, 'counter': 854, 'group_counter': 13, 'group_order': 98304, 'label': '48F-7', 'order': 48, 'powers': [704, 496], 'representative': 884285, 'size': 128}
  • id: 177421287
    {'aut_label': '48F1', 'centralizer': None, 'counter': 855, 'group_counter': 13, 'group_order': 98304, 'label': '48F11', 'order': 48, 'powers': [703, 494], 'representative': 186350, 'size': 128}
  • id: 177421288
    {'aut_label': '48F1', 'centralizer': None, 'counter': 856, 'group_counter': 13, 'group_order': 98304, 'label': '48F-11', 'order': 48, 'powers': [704, 493], 'representative': 722419, 'size': 128}
  • id: 177421289
    {'aut_label': '48F1', 'centralizer': None, 'counter': 857, 'group_counter': 13, 'group_order': 98304, 'label': '48F13', 'order': 48, 'powers': [704, 492], 'representative': 722403, 'size': 128}
  • id: 177421290
    {'aut_label': '48F1', 'centralizer': None, 'counter': 858, 'group_counter': 13, 'group_order': 98304, 'label': '48F-13', 'order': 48, 'powers': [703, 491], 'representative': 169982, 'size': 128}
  • id: 177421291
    {'aut_label': '48F1', 'centralizer': None, 'counter': 859, 'group_counter': 13, 'group_order': 98304, 'label': '48F17', 'order': 48, 'powers': [704, 489], 'representative': 884269, 'size': 128}
  • id: 177421293
    {'aut_label': '48F1', 'centralizer': None, 'counter': 860, 'group_counter': 13, 'group_order': 98304, 'label': '48F-17', 'order': 48, 'powers': [703, 490], 'representative': 1005423, 'size': 128}
  • id: 177421294
    {'aut_label': '48F1', 'centralizer': None, 'counter': 861, 'group_counter': 13, 'group_order': 98304, 'label': '48F19', 'order': 48, 'powers': [702, 491], 'representative': 489079, 'size': 128}
  • id: 177421295
    {'aut_label': '48F1', 'centralizer': None, 'counter': 862, 'group_counter': 13, 'group_order': 98304, 'label': '48F-19', 'order': 48, 'powers': [701, 492], 'representative': 845670, 'size': 128}
  • id: 177421296
    {'aut_label': '48F1', 'centralizer': None, 'counter': 863, 'group_counter': 13, 'group_order': 98304, 'label': '48F23', 'order': 48, 'powers': [702, 495], 'representative': 456446, 'size': 128}
  • id: 177421297
    {'aut_label': '48F1', 'centralizer': None, 'counter': 864, 'group_counter': 13, 'group_order': 98304, 'label': '48F-23', 'order': 48, 'powers': [701, 496], 'representative': 253114, 'size': 128}
  • id: 177421298
    {'aut_label': '48C1', 'centralizer': None, 'counter': 865, 'group_counter': 13, 'group_order': 98304, 'label': '48G1', 'order': 48, 'powers': [696, 497], 'representative': 570610, 'size': 128}
  • id: 177421299
    {'aut_label': '48C1', 'centralizer': None, 'counter': 866, 'group_counter': 13, 'group_order': 98304, 'label': '48G-1', 'order': 48, 'powers': [695, 498], 'representative': 349547, 'size': 128}
  • id: 177421300
    {'aut_label': '48C1', 'centralizer': None, 'counter': 867, 'group_counter': 13, 'group_order': 98304, 'label': '48G5', 'order': 48, 'powers': [694, 501], 'representative': 638398, 'size': 128}
  • id: 177421301
    {'aut_label': '48C1', 'centralizer': None, 'counter': 868, 'group_counter': 13, 'group_order': 98304, 'label': '48G-5', 'order': 48, 'powers': [693, 502], 'representative': 189810, 'size': 128}
  • id: 177421302
    {'aut_label': '48C1', 'centralizer': None, 'counter': 869, 'group_counter': 13, 'group_order': 98304, 'label': '48G7', 'order': 48, 'powers': [694, 503], 'representative': 967778, 'size': 128}
  • id: 177421304
    {'aut_label': '48C1', 'centralizer': None, 'counter': 870, 'group_counter': 13, 'group_order': 98304, 'label': '48G-7', 'order': 48, 'powers': [693, 504], 'representative': 877807, 'size': 128}
  • id: 177421305
    {'aut_label': '48C1', 'centralizer': None, 'counter': 871, 'group_counter': 13, 'group_order': 98304, 'label': '48G11', 'order': 48, 'powers': [696, 502], 'representative': 495406, 'size': 128}
  • id: 177421306
    {'aut_label': '48C1', 'centralizer': None, 'counter': 872, 'group_counter': 13, 'group_order': 98304, 'label': '48G-11', 'order': 48, 'powers': [695, 501], 'representative': 208565, 'size': 128}
  • id: 177421307
    {'aut_label': '48C1', 'centralizer': None, 'counter': 873, 'group_counter': 13, 'group_order': 98304, 'label': '48G13', 'order': 48, 'powers': [695, 500], 'representative': 208549, 'size': 128}
  • id: 177421308
    {'aut_label': '48C1', 'centralizer': None, 'counter': 874, 'group_counter': 13, 'group_order': 98304, 'label': '48G-13', 'order': 48, 'powers': [696, 499], 'representative': 341603, 'size': 128}
  • id: 177421309
    {'aut_label': '48C1', 'centralizer': None, 'counter': 875, 'group_counter': 13, 'group_order': 98304, 'label': '48G17', 'order': 48, 'powers': [693, 497], 'representative': 877823, 'size': 128}
  • id: 177421310
    {'aut_label': '48C1', 'centralizer': None, 'counter': 876, 'group_counter': 13, 'group_order': 98304, 'label': '48G-17', 'order': 48, 'powers': [694, 498], 'representative': 951410, 'size': 128}
  • id: 177421311
    {'aut_label': '48C1', 'centralizer': None, 'counter': 877, 'group_counter': 13, 'group_order': 98304, 'label': '48G19', 'order': 48, 'powers': [693, 499], 'representative': 173410, 'size': 128}
  • id: 177421312
    {'aut_label': '48C1', 'centralizer': None, 'counter': 878, 'group_counter': 13, 'group_order': 98304, 'label': '48G-19', 'order': 48, 'powers': [694, 500], 'representative': 853991, 'size': 128}
  • id: 177421313
    {'aut_label': '48C1', 'centralizer': None, 'counter': 879, 'group_counter': 13, 'group_order': 98304, 'label': '48G23', 'order': 48, 'powers': [695, 503], 'representative': 349563, 'size': 128}
  • id: 177421315
    {'aut_label': '48C1', 'centralizer': None, 'counter': 880, 'group_counter': 13, 'group_order': 98304, 'label': '48G-23', 'order': 48, 'powers': [696, 504], 'representative': 586978, 'size': 128}
  • id: 177421316
    {'aut_label': '48F1', 'centralizer': None, 'counter': 881, 'group_counter': 13, 'group_order': 98304, 'label': '48H1', 'order': 48, 'powers': [701, 505], 'representative': 845158, 'size': 128}
  • id: 177421317
    {'aut_label': '48F1', 'centralizer': None, 'counter': 882, 'group_counter': 13, 'group_order': 98304, 'label': '48H-1', 'order': 48, 'powers': [702, 506], 'representative': 1013367, 'size': 128}
  • id: 177421318
    {'aut_label': '48F1', 'centralizer': None, 'counter': 883, 'group_counter': 13, 'group_order': 98304, 'label': '48H5', 'order': 48, 'powers': [701, 509], 'representative': 253626, 'size': 128}
  • id: 177421319
    {'aut_label': '48F1', 'centralizer': None, 'counter': 884, 'group_counter': 13, 'group_order': 98304, 'label': '48H-5', 'order': 48, 'powers': [702, 510], 'representative': 439534, 'size': 128}
  • id: 177421320
    {'aut_label': '48F1', 'centralizer': None, 'counter': 885, 'group_counter': 13, 'group_order': 98304, 'label': '48H7', 'order': 48, 'powers': [703, 511], 'representative': 185838, 'size': 128}
  • id: 177421321
    {'aut_label': '48F1', 'centralizer': None, 'counter': 886, 'group_counter': 13, 'group_order': 98304, 'label': '48H-7', 'order': 48, 'powers': [704, 512], 'representative': 523690, 'size': 128}
  • id: 177421322
    {'aut_label': '48F1', 'centralizer': None, 'counter': 887, 'group_counter': 13, 'group_order': 98304, 'label': '48H11', 'order': 48, 'powers': [703, 510], 'representative': 371762, 'size': 128}
  • id: 177421323
    {'aut_label': '48F1', 'centralizer': None, 'counter': 888, 'group_counter': 13, 'group_order': 98304, 'label': '48H-11', 'order': 48, 'powers': [704, 509], 'representative': 359997, 'size': 128}
  • id: 177421324
    {'aut_label': '48F1', 'centralizer': None, 'counter': 889, 'group_counter': 13, 'group_order': 98304, 'label': '48H13', 'order': 48, 'powers': [704, 508], 'representative': 359981, 'size': 128}
  • id: 177421326
    {'aut_label': '48F1', 'centralizer': None, 'counter': 890, 'group_counter': 13, 'group_order': 98304, 'label': '48H-13', 'order': 48, 'powers': [703, 507], 'representative': 481151, 'size': 128}
  • id: 177421327
    {'aut_label': '48F1', 'centralizer': None, 'counter': 891, 'group_counter': 13, 'group_order': 98304, 'label': '48H17', 'order': 48, 'powers': [704, 505], 'representative': 198115, 'size': 128}
  • id: 177421328
    {'aut_label': '48F1', 'centralizer': None, 'counter': 892, 'group_counter': 13, 'group_order': 98304, 'label': '48H-17', 'order': 48, 'powers': [703, 506], 'representative': 169470, 'size': 128}
  • id: 177421329
    {'aut_label': '48F1', 'centralizer': None, 'counter': 893, 'group_counter': 13, 'group_order': 98304, 'label': '48H19', 'order': 48, 'powers': [702, 507], 'representative': 455934, 'size': 128}
  • id: 177421330
    {'aut_label': '48F1', 'centralizer': None, 'counter': 894, 'group_counter': 13, 'group_order': 98304, 'label': '48H-19', 'order': 48, 'powers': [701, 508], 'representative': 237226, 'size': 128}
  • id: 177421331
    {'aut_label': '48F1', 'centralizer': None, 'counter': 895, 'group_counter': 13, 'group_order': 98304, 'label': '48H23', 'order': 48, 'powers': [702, 511], 'representative': 1013351, 'size': 128}
  • id: 177421332
    {'aut_label': '48F1', 'centralizer': None, 'counter': 896, 'group_counter': 13, 'group_order': 98304, 'label': '48H-23', 'order': 48, 'powers': [701, 512], 'representative': 828790, 'size': 128}
• group 98304.m does not appear in gps_qchar
• group 98304.m does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 275336672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 98304, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '98304.m.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '98304.m', 'subgroup_hash': 4624393922946392465, 'subgroup_order': 98304, 'subgroup_tex': 'C_4^4.C_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.r', 'subgroup_hash': 79393436799128309, 'subgroup_order': 49152, 'subgroup_tex': '(C_4^3\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.n', 'subgroup_hash': 7685370929214475755, 'subgroup_order': 49152, 'subgroup_tex': 'C_2\\times C_4^4.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.q', 'subgroup_hash': 8479271056387984071, 'subgroup_order': 49152, 'subgroup_tex': '(C_4^3\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.o', 'subgroup_hash': 8471579885661090486, 'subgroup_order': 49152, 'subgroup_tex': '(C_2\\times C_4^4).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.s', 'subgroup_hash': 5410813328019504726, 'subgroup_order': 49152, 'subgroup_tex': '(C_4^3\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.p', 'subgroup_hash': 8157171369767229715, 'subgroup_order': 49152, 'subgroup_tex': 'C_4^3.(A_4\\times C_8^2)', 'supersolvable': False, 'sylow': 0}
  • id: 275337449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.t', 'subgroup_hash': 2208634181672390646, 'subgroup_order': 49152, 'subgroup_tex': '(C_4^3\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16384, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '98304.m.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32768.ch', 'subgroup_hash': 1086155776496813381, 'subgroup_order': 32768, 'subgroup_tex': '(C_2^3\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 2}
  • id: 275336673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.k', 'subgroup_hash': 4077844956277182604, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^4.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.u', 'subgroup_hash': 4372554602103578212, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^5.C_4^2:D_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.v', 'subgroup_hash': 2843078291833263302, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^3.C_2^3:D_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.m', 'subgroup_hash': 4497946928037603889, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^3.C_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.j', 'subgroup_hash': 5746902164953005851, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^4.(C_2^3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.o', 'subgroup_hash': 102546368731724455, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^4.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.n', 'subgroup_hash': 102546368731724455, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^4.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.l', 'subgroup_hash': 3024341554540350674, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^3.C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.l', 'subgroup_hash': 3024341554540350674, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^3.C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.t', 'subgroup_hash': 8153946953008176313, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^2.Q_8.C_{12}:C_4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.s', 'subgroup_hash': 1467435945066408493, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^3.C_4^2.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.L', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.w', 'subgroup_hash': 7167882165831714992, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^2.(C_4\\times C_{24}).C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275336806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.x', 'subgroup_hash': 1149098194966943093, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^3.(C_4.\\GL(2,\\mathbb{Z}/4))', 'supersolvable': False, 'sylow': 0}
  • id: 275336817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.y', 'subgroup_hash': 170438091336503862, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.C_4^3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.ba', 'subgroup_hash': 4073429092657774457, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^3.(C_4.\\GL(2,\\mathbb{Z}/4))', 'supersolvable': False, 'sylow': 0}
  • id: 275336839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.z', 'subgroup_hash': 1140691138882635654, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^3.C_4^2.C_{12}.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275336850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.g', 'subgroup_hash': 3566818055848249810, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^4.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.4.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24576.h', 'subgroup_hash': 9128240991379455423, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.C_4^3:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16384, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fu', 'subgroup_hash': 4943522441808765114, 'subgroup_order': 16384, 'subgroup_tex': '(C_4^3\\times C_8).C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 275336883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fs', 'subgroup_hash': 5797200010554364004, 'subgroup_order': 16384, 'subgroup_tex': '(C_4\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fh', 'subgroup_hash': 3078955264588247834, 'subgroup_order': 16384, 'subgroup_tex': 'C_8^2.D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.gs', 'subgroup_hash': 2517124266329682456, 'subgroup_order': 16384, 'subgroup_tex': 'C_8^2.(C_4^2\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275336917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fr', 'subgroup_hash': 1855613596074371442, 'subgroup_order': 16384, 'subgroup_tex': '(C_4^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.eu', 'subgroup_hash': 4197641551044698950, 'subgroup_order': 16384, 'subgroup_tex': '(C_4^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fb', 'subgroup_hash': 1322826476459961599, 'subgroup_order': 16384, 'subgroup_tex': 'C_4^4.C_8.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.gp', 'subgroup_hash': 2067561132785359076, 'subgroup_order': 16384, 'subgroup_tex': '(C_4\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.es', 'subgroup_hash': 2521553110964559762, 'subgroup_order': 16384, 'subgroup_tex': '(C_4\\times C_8^2).Q_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.ft', 'subgroup_hash': 5701242296574477146, 'subgroup_order': 16384, 'subgroup_tex': '(C_2^2\\times C_8^2).C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.gm', 'subgroup_hash': 3031263470195233594, 'subgroup_order': 16384, 'subgroup_tex': 'C_4^4.C_8.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fi', 'subgroup_hash': 6728747274462428673, 'subgroup_order': 16384, 'subgroup_tex': '(C_4\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.et', 'subgroup_hash': 1914347461710349276, 'subgroup_order': 16384, 'subgroup_tex': '(C_4^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.gn', 'subgroup_hash': 3398523707336282342, 'subgroup_order': 16384, 'subgroup_tex': 'C_8^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.fl', 'subgroup_hash': 3398523707336282342, 'subgroup_order': 16384, 'subgroup_tex': 'C_8^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.p', 'subgroup_hash': 3649857690217385557, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_2^3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.n', 'subgroup_hash': 836634087848606018, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^4.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.r', 'subgroup_hash': 4763591982917439470, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.Q_8.C_6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275337072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bk', 'subgroup_hash': 7171760061522195332, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bk', 'subgroup_hash': 7171760061522195332, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.o', 'subgroup_hash': 3094828857646507324, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.o', 'subgroup_hash': 3094828857646507324, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.q', 'subgroup_hash': 7171760061522195332, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.q', 'subgroup_hash': 7171760061522195332, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.v', 'subgroup_hash': 4911601703824703982, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.w', 'subgroup_hash': 6962433676018330961, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12288, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.i', 'subgroup_hash': 749028424628152390, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bg', 'subgroup_hash': 8183821848386139974, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_4\\times D_{24})', 'supersolvable': False, 'sylow': 0}
  • id: 275337183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bb', 'subgroup_hash': 5254933285562113884, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^3\\times C_8).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bd', 'subgroup_hash': 1268218679915670667, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_8\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275337205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.y', 'subgroup_hash': 8274195285145582132, 'subgroup_order': 12288, 'subgroup_tex': 'C_2\\times C_4^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bh', 'subgroup_hash': 6464433094764261470, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_2^3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.ba', 'subgroup_hash': 6197372141363746840, 'subgroup_order': 12288, 'subgroup_tex': '(C_2^3\\times C_8^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.be', 'subgroup_hash': 1258010081764197323, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.C_{24}.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bc', 'subgroup_hash': 84412267023238701, 'subgroup_order': 12288, 'subgroup_tex': 'C_8\\times C_4^3.C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bf', 'subgroup_hash': 7589414792193071975, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.C_{24}:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 275337272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.z', 'subgroup_hash': 7466495232735247179, 'subgroup_order': 12288, 'subgroup_tex': '(C_2\\times C_4^3).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.x', 'subgroup_hash': 2686742098160090669, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^4.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bj', 'subgroup_hash': 8349742637826041289, 'subgroup_order': 12288, 'subgroup_tex': '\\PSU(3,2).C_6^2.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 275337305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bi', 'subgroup_hash': 1117372692070221752, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_2^3.S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bi', 'subgroup_hash': 1117372692070221752, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_2^3.S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bn', 'subgroup_hash': 2291368295685357811, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bo', 'subgroup_hash': 7122041604234555066, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bm', 'subgroup_hash': 7698010412260559041, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^3.(C_8\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.bl', 'subgroup_hash': 2442642823887985469, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.j', 'subgroup_hash': 2117878519662118254, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^3\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.j', 'subgroup_hash': 2117878519662118254, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^3\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.j', 'subgroup_hash': 2117878519662118254, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^3\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.j', 'subgroup_hash': 2117878519662118254, 'subgroup_order': 12288, 'subgroup_tex': '(C_4^3\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.i', 'subgroup_hash': 749028424628152390, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.k', 'subgroup_hash': 5908319930594729880, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.Q_8.C_{12}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.m', 'subgroup_hash': 7128334362336517207, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.l', 'subgroup_hash': 7128334362336517207, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.k', 'subgroup_hash': 5908319930594729880, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.Q_8.C_{12}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.m', 'subgroup_hash': 7128334362336517207, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.k', 'subgroup_hash': 5908319930594729880, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.Q_8.C_{12}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.l', 'subgroup_hash': 7128334362336517207, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_4^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 275337505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.8.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12288.k', 'subgroup_hash': 5908319930594729880, 'subgroup_order': 12288, 'subgroup_tex': 'C_4^2.Q_8.C_{12}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jq', 'subgroup_hash': 184201348370700164, 'subgroup_order': 8192, 'subgroup_tex': 'C_2\\times C_4^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.lb', 'subgroup_hash': 3303456421854957532, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ky', 'subgroup_hash': 3303456421854957532, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.tk', 'subgroup_hash': 8171027437674264588, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^4\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ti', 'subgroup_hash': 3757122632760520076, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.tj', 'subgroup_hash': 2197372537733057531, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.th', 'subgroup_hash': 5373348786220928220, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qq', 'subgroup_hash': 2235911198101154589, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qq', 'subgroup_hash': 2235911198101154589, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qr', 'subgroup_hash': 2332548095077910333, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qr', 'subgroup_hash': 2332548095077910333, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.or', 'subgroup_hash': 4284232844965799234, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.os', 'subgroup_hash': 4284232844965799234, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.uc', 'subgroup_hash': 8405155286589054192, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ud', 'subgroup_hash': 8454137321922743420, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nx', 'subgroup_hash': 2934028752710829543, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nt', 'subgroup_hash': 6190063110483306194, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nu', 'subgroup_hash': 7094177308095181536, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nw', 'subgroup_hash': 552605018307281868, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ku', 'subgroup_hash': 6685268691146690176, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jo', 'subgroup_hash': 4970030132963950262, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.in', 'subgroup_hash': 8865771919353237079, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kn', 'subgroup_hash': 2358620803799601752, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ki', 'subgroup_hash': 3857980668452320423, 'subgroup_order': 8192, 'subgroup_tex': 'C_2\\times C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ks', 'subgroup_hash': 7295255942160479131, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kw', 'subgroup_hash': 8865771919353237079, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.mx', 'subgroup_hash': 5316629435090369808, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.D_4:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ng', 'subgroup_hash': 8912185968593983879, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^5.C_4^2:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.mu', 'subgroup_hash': 509170177071853675, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.D_4:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nj', 'subgroup_hash': 2820079534848075448, 'subgroup_order': 8192, 'subgroup_tex': 'C_4^3.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nz', 'subgroup_hash': 173751833020880961, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_4^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nv', 'subgroup_hash': 8737793037126369254, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.rj', 'subgroup_hash': 709333564402957923, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ru', 'subgroup_hash': 7660791401617907700, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_4^2\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ns', 'subgroup_hash': 1302538375095106791, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.rk', 'subgroup_hash': 4127087898354763506, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ny', 'subgroup_hash': 2293331821579414742, 'subgroup_order': 8192, 'subgroup_tex': '(C_2^3\\times C_8^2).Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.rt', 'subgroup_hash': 8300908250540493926, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_4^2\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jn', 'subgroup_hash': 1396456105913128054, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ju', 'subgroup_hash': 8925323939014732231, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_4^2\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kj', 'subgroup_hash': 7859187206186119403, 'subgroup_order': 8192, 'subgroup_tex': '(C_2\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ir', 'subgroup_hash': 945826237719127412, 'subgroup_order': 8192, 'subgroup_tex': '(C_2\\times C_8^2).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kp', 'subgroup_hash': 4260477871430087324, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(D_4\\times C_4^2)', 'supersolvable': True, 'sylow': 0}
  • id: 275336705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kx', 'subgroup_hash': 8925323939014732231, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_4^2\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jp', 'subgroup_hash': 4870329322932645829, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jp', 'subgroup_hash': 4870329322932645829, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iq', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iq', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kt', 'subgroup_hash': 3069415124308888835, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kt', 'subgroup_hash': 3069415124308888835, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jz', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jz', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iw', 'subgroup_hash': 2094301806699652140, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kr', 'subgroup_hash': 2094301806699652140, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kq', 'subgroup_hash': 7816631556410988607, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iv', 'subgroup_hash': 5840280565039229204, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iv', 'subgroup_hash': 5840280565039229204, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.kl', 'subgroup_hash': 1450557748500213910, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.km', 'subgroup_hash': 1040333777557102325, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iu', 'subgroup_hash': 9089485274088592347, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iu', 'subgroup_hash': 9089485274088592347, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iy', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.iy', 'subgroup_hash': 7809788478393407583, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.pb', 'subgroup_hash': 1696829839031737263, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.pa', 'subgroup_hash': 1696829839031737263, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.sn', 'subgroup_hash': 3313061077678539998, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_2^3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.sl', 'subgroup_hash': 1696829839031737263, 'subgroup_order': 8192, 'subgroup_tex': 'C_4^3.C_2^3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.mw', 'subgroup_hash': 6701436893150196075, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_8:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ne', 'subgroup_hash': 6701436893150196075, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_8:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.mv', 'subgroup_hash': 7982205007961409142, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_8:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.nc', 'subgroup_hash': 7982205007961409142, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.C_8:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qf', 'subgroup_hash': 4240247569511813987, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_8\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.if', 'subgroup_hash': 4174825757727185477, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.if', 'subgroup_hash': 4174825757727185477, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.qf', 'subgroup_hash': 4240247569511813987, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_8\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.rf', 'subgroup_hash': 4096438535041548437, 'subgroup_order': 8192, 'subgroup_tex': 'C_8^2.(C_8\\times Q_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275336742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jb', 'subgroup_hash': 4810061741710862834, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.jb', 'subgroup_hash': 4810061741710862834, 'subgroup_order': 8192, 'subgroup_tex': '(C_4^2\\times C_8^2).C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.y', 'subgroup_hash': 8411352004689501052, 'subgroup_order': 6144, 'subgroup_tex': 'C_2\\times C_4^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.p', 'subgroup_hash': 6671490003574364217, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 275336746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.p', 'subgroup_hash': 6671490003574364217, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 275336747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.r', 'subgroup_hash': 3087491906412043972, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.s', 'subgroup_hash': 5996983355589755163, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.t', 'subgroup_hash': 1679379562242132904, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^2.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6144, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.l', 'subgroup_hash': 7017585860921911868, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.(C_4\\times C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275336756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.l1', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.l', 'subgroup_hash': 7017585860921911868, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.(C_4\\times C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275336757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.l', 'subgroup_hash': 7017585860921911868, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.(C_4\\times C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275336758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6144, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.l', 'subgroup_hash': 7017585860921911868, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_4^2.(C_4\\times C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275336759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bv', 'subgroup_hash': 693071879736794911, 'subgroup_order': 6144, 'subgroup_tex': 'C_8^2.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bp', 'subgroup_hash': 8200233700395185875, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(C_8\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bo', 'subgroup_hash': 6402493644782960941, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 275336763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bc', 'subgroup_hash': 4490854310770555291, 'subgroup_order': 6144, 'subgroup_tex': '(C_4^3\\times C_8):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bk', 'subgroup_hash': 6640953090612793282, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^2.C_{24}.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275336765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bm', 'subgroup_hash': 3153588902752987550, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^2.C_{24}.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275336766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bi', 'subgroup_hash': 3921074091317082876, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bd', 'subgroup_hash': 8540965808074138833, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 275336768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.z', 'subgroup_hash': 5340051838357568806, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times C_{24})', 'supersolvable': False, 'sylow': 0}
  • id: 275336769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bb', 'subgroup_hash': 3133702695541003383, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^4.C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bb', 'subgroup_hash': 3133702695541003383, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^4.C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.ba', 'subgroup_hash': 8442525106625352408, 'subgroup_order': 6144, 'subgroup_tex': '(C_4^3\\times C_8).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.ba', 'subgroup_hash': 8442525106625352408, 'subgroup_order': 6144, 'subgroup_tex': '(C_4^3\\times C_8).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bq', 'subgroup_hash': 6430070228408642102, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(C_8\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.br', 'subgroup_hash': 3994454518238537073, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bn', 'subgroup_hash': 9068973526342236349, 'subgroup_order': 6144, 'subgroup_tex': '(C_2\\times C_4^3).D_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bl', 'subgroup_hash': 8365242792316974955, 'subgroup_order': 6144, 'subgroup_tex': '(C_2\\times C_4^3).D_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275336778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bj', 'subgroup_hash': 6629975848798031675, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bh', 'subgroup_hash': 3513415489781787001, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bh', 'subgroup_hash': 3513415489781787001, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bu', 'subgroup_hash': 7354558685884169981, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times \\SL(2,3))', 'supersolvable': False, 'sylow': 0}
  • id: 275336782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bx', 'subgroup_hash': 7984385807972309886, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bz', 'subgroup_hash': 1363819967192717160, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bs', 'subgroup_hash': 8846831858416334407, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.by', 'subgroup_hash': 5694812358057503809, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.ca', 'subgroup_hash': 1195861328277395000, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bw', 'subgroup_hash': 240621320317876167, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bw', 'subgroup_hash': 240621320317876167, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bt', 'subgroup_hash': 1679379562242132904, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^2.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.be', 'subgroup_hash': 5983814325279798618, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.be', 'subgroup_hash': 5983814325279798618, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.n', 'subgroup_hash': 8550753237946038542, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.n', 'subgroup_hash': 8550753237946038542, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bf', 'subgroup_hash': 2280740380500570174, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bf', 'subgroup_hash': 2280740380500570174, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.m', 'subgroup_hash': 4932617370834157548, 'subgroup_order': 6144, 'subgroup_tex': 'C_4.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.m', 'subgroup_hash': 4932617370834157548, 'subgroup_order': 6144, 'subgroup_tex': 'C_4.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.v', 'subgroup_hash': 2375519333337218597, 'subgroup_order': 6144, 'subgroup_tex': '(C_4^2\\times C_8^2):S_3', 'supersolvable': False, 'sylow': 0}
  • id: 275336807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.x', 'subgroup_hash': 9168501413502098940, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.x', 'subgroup_hash': 9168501413502098940, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275336809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.be', 'subgroup_hash': 5983814325279798618, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.be', 'subgroup_hash': 5983814325279798618, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.n', 'subgroup_hash': 8550753237946038542, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.n', 'subgroup_hash': 8550753237946038542, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.w', 'subgroup_hash': 5279312232574569247, 'subgroup_order': 6144, 'subgroup_tex': 'C_8\\times C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275336814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.u', 'subgroup_hash': 6212013315828099490, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bf', 'subgroup_hash': 2280740380500570174, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bg', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.bf', 'subgroup_hash': 2280740380500570174, 'subgroup_order': 6144, 'subgroup_tex': 'C_8.C_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275336820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.m', 'subgroup_hash': 4932617370834157548, 'subgroup_order': 6144, 'subgroup_tex': 'C_4.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.o', 'subgroup_hash': 4295482612311254599, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3072, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.m', 'subgroup_hash': 4932617370834157548, 'subgroup_order': 6144, 'subgroup_tex': 'C_4.C_8^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275336824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.16.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '6144.u', 'subgroup_hash': 6212013315828099490, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_8\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275336825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ban', 'subgroup_hash': 1053718300121044660, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qi', 'subgroup_hash': 5872719199240138645, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.6', '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.beh', 'subgroup_hash': 218324500118524024, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.6', '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.beh', 'subgroup_hash': 218324500118524024, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uj', 'subgroup_hash': 218324500118524024, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uj', 'subgroup_hash': 218324500118524024, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275336832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.om', 'subgroup_hash': 1873745965835070418, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnk', 'subgroup_hash': 7617483708609108982, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnk', 'subgroup_hash': 7617483708609108982, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnk', 'subgroup_hash': 7617483708609108982, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnk', 'subgroup_hash': 7617483708609108982, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bne', 'subgroup_hash': 2140295210493922306, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bne', 'subgroup_hash': 2140295210493922306, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bne', 'subgroup_hash': 2140295210493922306, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bne', 'subgroup_hash': 2140295210493922306, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.blp', 'subgroup_hash': 9108971131026124324, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.blp', 'subgroup_hash': 9108971131026124324, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.blq', 'subgroup_hash': 9108971131026124324, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.blq', 'subgroup_hash': 9108971131026124324, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xf', 'subgroup_hash': 2450460132885685934, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xf', 'subgroup_hash': 2450460132885685934, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xe', 'subgroup_hash': 6701879730390492791, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xe', 'subgroup_hash': 6701879730390492791, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjc', 'subgroup_hash': 9168359588086351476, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjc', 'subgroup_hash': 9168359588086351476, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biy', 'subgroup_hash': 4554902649397272127, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biy', 'subgroup_hash': 4554902649397272127, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8^2).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjs', 'subgroup_hash': 3952651810428851512, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjs', 'subgroup_hash': 3952651810428851512, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjo', 'subgroup_hash': 2206956639017759132, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjo', 'subgroup_hash': 2206956639017759132, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.beg', 'subgroup_hash': 6902576681431990442, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdn', 'subgroup_hash': 3085598983896222297, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bja', 'subgroup_hash': 8442430795782980938, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bja', 'subgroup_hash': 8442430795782980938, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdn', 'subgroup_hash': 3085598983896222297, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biw', 'subgroup_hash': 4266403719507076467, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biw', 'subgroup_hash': 4266403719507076467, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bef', 'subgroup_hash': 2481503953881716503, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdy', 'subgroup_hash': 97011300889776043, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdw', 'subgroup_hash': 1760535743882345139, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjq', 'subgroup_hash': 4605941968502521278, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjq', 'subgroup_hash': 4605941968502521278, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjm', 'subgroup_hash': 2786059709234815789, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjm', 'subgroup_hash': 2786059709234815789, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bam', 'subgroup_hash': 4560583663400561534, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bam', 'subgroup_hash': 4560583663400561534, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bal', 'subgroup_hash': 5926966829351301494, 'subgroup_order': 4096, 'subgroup_tex': 'C_2\\times C_4^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bal', 'subgroup_hash': 5926966829351301494, 'subgroup_order': 4096, 'subgroup_tex': 'C_2\\times C_4^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bag', 'subgroup_hash': 6995380216362816079, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bag', 'subgroup_hash': 6995380216362816079, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pc', 'subgroup_hash': 7809699704967694652, 'subgroup_order': 4096, 'subgroup_tex': '(C_2\\times C_4^4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pc', 'subgroup_hash': 7809699704967694652, 'subgroup_order': 4096, 'subgroup_tex': '(C_2\\times C_4^4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nn', 'subgroup_hash': 7809699704967694652, 'subgroup_order': 4096, 'subgroup_tex': 'C_2\\times C_4^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.zs', 'subgroup_hash': 1346262560703248846, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbc', 'subgroup_hash': 7922023365372345526, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bba', 'subgroup_hash': 4136780791739918223, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.og', 'subgroup_hash': 8959696203798524201, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qt', 'subgroup_hash': 6397761449249129341, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.zr', 'subgroup_hash': 3656601403395734575, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdd', 'subgroup_hash': 7557725086515455466, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdd', 'subgroup_hash': 7557725086515455466, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wq', 'subgroup_hash': 7835087583144066143, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfe', 'subgroup_hash': 3395690572681314244, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bez', 'subgroup_hash': 300212149124647886, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_2^3\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.beu', 'subgroup_hash': 1135948201261837141, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfa', 'subgroup_hash': 8028225534913412832, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wq', 'subgroup_hash': 7835087583144066143, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wx', 'subgroup_hash': 5347907337275046939, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wx', 'subgroup_hash': 5347907337275046939, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275336903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wj', 'subgroup_hash': 7175566910163809163, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uv', 'subgroup_hash': 2369843962606624061, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uv', 'subgroup_hash': 2369843962606624061, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vz', 'subgroup_hash': 5377006355262016869, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wb', 'subgroup_hash': 5865312772037643675, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^3\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wi', 'subgroup_hash': 4499940765321251446, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qd', 'subgroup_hash': 8141589658754202595, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pv', 'subgroup_hash': 3021239857604327590, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ny', 'subgroup_hash': 193297871914889377, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pt', 'subgroup_hash': 8786286169535489927, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.st', 'subgroup_hash': 1916788343655923448, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tx', 'subgroup_hash': 193297871914889377, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ta', 'subgroup_hash': 5746511808474699666, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sz', 'subgroup_hash': 5416561152599370581, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ss', 'subgroup_hash': 1421187252824094214, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tx', 'subgroup_hash': 193297871914889377, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uu', 'subgroup_hash': 1137057844670702704, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjb', 'subgroup_hash': 5099240582021741556, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2:C_{16}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjb', 'subgroup_hash': 5099240582021741556, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2:C_{16}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uu', 'subgroup_hash': 1137057844670702704, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wm', 'subgroup_hash': 9050805774172645231, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vw', 'subgroup_hash': 7114423664455789896, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wc', 'subgroup_hash': 3390441107519892963, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biz', 'subgroup_hash': 9142882008872490678, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.biz', 'subgroup_hash': 9142882008872490678, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjr', 'subgroup_hash': 6227885768558079788, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjr', 'subgroup_hash': 6227885768558079788, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjn', 'subgroup_hash': 9142882008872490678, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjn', 'subgroup_hash': 9142882008872490678, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdo', 'subgroup_hash': 388962281319834636, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdo', 'subgroup_hash': 388962281319834636, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdv', 'subgroup_hash': 7942394054257480410, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbq', 'subgroup_hash': 2325217270143664340, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bee', 'subgroup_hash': 7765748099374896287, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uw', 'subgroup_hash': 7263823686855736561, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uz', 'subgroup_hash': 3128249705125142629, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uy', 'subgroup_hash': 2250110000941148106, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ux', 'subgroup_hash': 7415210659830431506, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uw', 'subgroup_hash': 7263823686855736561, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uz', 'subgroup_hash': 3128249705125142629, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uy', 'subgroup_hash': 2250110000941148106, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ux', 'subgroup_hash': 7415210659830431506, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjd', 'subgroup_hash': 8795417511352937873, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^4\\times C_{16}).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjd', 'subgroup_hash': 8795417511352937873, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^4\\times C_{16}).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uw', 'subgroup_hash': 7263823686855736561, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uy', 'subgroup_hash': 2250110000941148106, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uz', 'subgroup_hash': 3128249705125142629, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ux', 'subgroup_hash': 7415210659830431506, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wa', 'subgroup_hash': 1711251160389329999, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vv', 'subgroup_hash': 4461581653880269441, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wl', 'subgroup_hash': 9104094269031118736, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wf', 'subgroup_hash': 7534341017221894483, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wn', 'subgroup_hash': 147829921370798487, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vu', 'subgroup_hash': 1056244332765391702, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^3\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vy', 'subgroup_hash': 154139284363303280, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wg', 'subgroup_hash': 1018930982378074805, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wk', 'subgroup_hash': 258421963955192435, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uw', 'subgroup_hash': 7263823686855736561, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uy', 'subgroup_hash': 2250110000941148106, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.uz', 'subgroup_hash': 3128249705125142629, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ux', 'subgroup_hash': 7415210659830431506, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bix', 'subgroup_hash': 3146800919795725898, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8^2).Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bix', 'subgroup_hash': 3146800919795725898, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8^2).Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 275336973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdu', 'subgroup_hash': 1135924400872437036, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).Q_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vv', 'subgroup_hash': 4461581653880269441, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wl', 'subgroup_hash': 9104094269031118736, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wn', 'subgroup_hash': 147829921370798487, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wf', 'subgroup_hash': 7534341017221894483, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.vy', 'subgroup_hash': 154139284363303280, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bdx', 'subgroup_hash': 8741329303708823917, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wk', 'subgroup_hash': 258421963955192435, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wg', 'subgroup_hash': 1018930982378074805, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjt', 'subgroup_hash': 5915424746019810342, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjt', 'subgroup_hash': 5915424746019810342, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjp', 'subgroup_hash': 3146800919795725898, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bjp', 'subgroup_hash': 3146800919795725898, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^2.C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bah', 'subgroup_hash': 4352105394820448308, 'subgroup_order': 4096, 'subgroup_tex': '(C_4^2\\times C_8^2):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bah', 'subgroup_hash': 4352105394820448308, 'subgroup_order': 4096, 'subgroup_tex': '(C_4^2\\times C_8^2):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bao', 'subgroup_hash': 685205968022536094, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bao', 'subgroup_hash': 685205968022536094, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275336991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pd', 'subgroup_hash': 3555913210100755089, 'subgroup_order': 4096, 'subgroup_tex': '(C_2\\times C_4^4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pd', 'subgroup_hash': 3555913210100755089, 'subgroup_order': 4096, 'subgroup_tex': '(C_2\\times C_4^4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pi', 'subgroup_hash': 3555913210100755089, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275336995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qe', 'subgroup_hash': 5177619657271615812, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275336996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qb', 'subgroup_hash': 5872719199240138645, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ban', 'subgroup_hash': 1053718300121044660, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275336998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qb', 'subgroup_hash': 5872719199240138645, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275336999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qh', 'subgroup_hash': 273915352674324951, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qf', 'subgroup_hash': 273915352674324951, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qf', 'subgroup_hash': 273915352674324951, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qh', 'subgroup_hash': 273915352674324951, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oc', 'subgroup_hash': 5263325674861148810, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bap', 'subgroup_hash': 2728400425639902113, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bap', 'subgroup_hash': 2728400425639902113, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bap', 'subgroup_hash': 2728400425639902113, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.baj', 'subgroup_hash': 5930012929684537632, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.baj', 'subgroup_hash': 5930012929684537632, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.C_8:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.op', 'subgroup_hash': 8236410978185930277, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.op', 'subgroup_hash': 8236410978185930277, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bav', 'subgroup_hash': 7913794101861009841, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbd', 'subgroup_hash': 1491161600945500425, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qr', 'subgroup_hash': 6776071218131674771, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oi', 'subgroup_hash': 6902950222651843354, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pw', 'subgroup_hash': 9220082113927067942, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.zh', 'subgroup_hash': 1654006409750086426, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.zp', 'subgroup_hash': 7476320563869710061, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qn', 'subgroup_hash': 471341796326681015, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbb', 'subgroup_hash': 3049650680796185439, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qn', 'subgroup_hash': 471341796326681015, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qs', 'subgroup_hash': 7352059396621006411, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nv', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pu', 'subgroup_hash': 7845398642029101724, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nv', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.zq', 'subgroup_hash': 8127239723895851475, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wr', 'subgroup_hash': 6466450757838688199, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfc', 'subgroup_hash': 5871910883320202866, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^3\\times C_8).D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bev', 'subgroup_hash': 4225977689717266803, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbt', 'subgroup_hash': 5303885140986216607, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbs', 'subgroup_hash': 1087679919342842452, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wr', 'subgroup_hash': 6466450757838688199, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ww', 'subgroup_hash': 4805525020147448558, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ww', 'subgroup_hash': 4805525020147448558, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^3.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tv', 'subgroup_hash': 1654006409750086426, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sy', 'subgroup_hash': 2524588117252841830, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tb', 'subgroup_hash': 52454217525524847, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sv', 'subgroup_hash': 52454217525524847, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tv', 'subgroup_hash': 1654006409750086426, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ws', 'subgroup_hash': 4028246711890099546, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ws', 'subgroup_hash': 4028246711890099546, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wp', 'subgroup_hash': 3662634352833643628, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wp', 'subgroup_hash': 3662634352833643628, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbw', 'subgroup_hash': 3880519059265054792, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbw', 'subgroup_hash': 3880519059265054792, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbz', 'subgroup_hash': 4850324316815884491, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbz', 'subgroup_hash': 4850324316815884491, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bex', 'subgroup_hash': 3677907482193594468, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bex', 'subgroup_hash': 3677907482193594468, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfb', 'subgroup_hash': 1390670585916357286, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_2^2\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfd', 'subgroup_hash': 6095212754587777935, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wp', 'subgroup_hash': 3662634352833643628, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.wp', 'subgroup_hash': 3662634352833643628, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tu', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tu', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tt', 'subgroup_hash': 4028246711890099546, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tt', 'subgroup_hash': 4028246711890099546, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.su', 'subgroup_hash': 7268700037436942404, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sx', 'subgroup_hash': 7845398642029101724, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sq', 'subgroup_hash': 7845398642029101724, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sx', 'subgroup_hash': 7845398642029101724, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sq', 'subgroup_hash': 7845398642029101724, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sr', 'subgroup_hash': 8447065159310355900, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sp', 'subgroup_hash': 8447065159310355900, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sw', 'subgroup_hash': 8447065159310355900, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.sw', 'subgroup_hash': 8447065159310355900, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tu', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.tu', 'subgroup_hash': 1003976767422926623, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbn', 'subgroup_hash': 4350804297707553351, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bbn', 'subgroup_hash': 4350804297707553351, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnm', 'subgroup_hash': 2494014869906867233, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnm', 'subgroup_hash': 2494014869906867233, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xw', 'subgroup_hash': 2558757258145777601, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xw', 'subgroup_hash': 2558757258145777601, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bmw', 'subgroup_hash': 6282400431459148154, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bmw', 'subgroup_hash': 6282400431459148154, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xy', 'subgroup_hash': 7606157397737586915, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.xy', 'subgroup_hash': 7606157397737586915, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnl', 'subgroup_hash': 4019805500140363389, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnl', 'subgroup_hash': 4019805500140363389, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.yc', 'subgroup_hash': 7869456919740015134, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.yc', 'subgroup_hash': 7869456919740015134, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times \\SD_{16})', 'supersolvable': True, 'sylow': 0}
  • id: 275337097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnb', 'subgroup_hash': 9186437136636420805, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bnb', 'subgroup_hash': 9186437136636420805, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.on', 'subgroup_hash': 1379657204257120069, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.on', 'subgroup_hash': 1379657204257120069, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pz', 'subgroup_hash': 1023355578966121186, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ji1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.za', 'subgroup_hash': 4768152545110468376, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bga', 'subgroup_hash': 4511459778384610625, 'subgroup_order': 4096, 'subgroup_tex': '(C_2\\times C_4\\times C_8^2).C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bgb', 'subgroup_hash': 9004893215246475013, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ni', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.on', 'subgroup_hash': 1379657204257120069, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.on', 'subgroup_hash': 1379657204257120069, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ni', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pz', 'subgroup_hash': 1023355578966121186, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.za', 'subgroup_hash': 4768152545110468376, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ni', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.za', 'subgroup_hash': 4768152545110468376, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ni', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pz', 'subgroup_hash': 1023355578966121186, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.za', 'subgroup_hash': 4768152545110468376, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ox', 'subgroup_hash': 2406853173916492763, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pz', 'subgroup_hash': 1023355578966121186, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nl', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nl', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.of', 'subgroup_hash': 7931090607635124572, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bas', 'subgroup_hash': 7931090607635124572, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oa', 'subgroup_hash': 1435893015541279061, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oa', 'subgroup_hash': 1435893015541279061, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qa', 'subgroup_hash': 7140686047823682092, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oe', 'subgroup_hash': 6489813171751839857, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bfz', 'subgroup_hash': 8627731267348915787, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bgc', 'subgroup_hash': 7829209702913551819, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.om', 'subgroup_hash': 1873745965835070418, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.om', 'subgroup_hash': 1873745965835070418, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.or', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.om', 'subgroup_hash': 1873745965835070418, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nl', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oo', 'subgroup_hash': 1808763793854045073, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nl', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pb', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oy', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ow', 'subgroup_hash': 5631286945652476359, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ow', 'subgroup_hash': 5631286945652476359, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.or', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pb', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oy', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ow', 'subgroup_hash': 5631286945652476359, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.ow', 'subgroup_hash': 5631286945652476359, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qa', 'subgroup_hash': 7140686047823682092, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oe', 'subgroup_hash': 6489813171751839857, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.of', 'subgroup_hash': 7931090607635124572, 'subgroup_order': 4096, 'subgroup_tex': '(C_4\\times C_8^2).D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oe', 'subgroup_hash': 6489813171751839857, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.or', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bas', 'subgroup_hash': 7931090607635124572, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_4\\times D_8)', 'supersolvable': True, 'sylow': 0}
  • id: 275337176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.or', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oa', 'subgroup_hash': 1435893015541279061, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ly1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oa', 'subgroup_hash': 1435893015541279061, 'subgroup_order': 4096, 'subgroup_tex': 'C_4^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qa', 'subgroup_hash': 7140686047823682092, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ma1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pb', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.pb', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.md1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.me1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oe', 'subgroup_hash': 6489813171751839857, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 275337186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oy', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.oy', 'subgroup_hash': 3774744527406859527, 'subgroup_order': 4096, 'subgroup_tex': 'C_4\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.nm', 'subgroup_hash': 8979780710813750897, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.qa', 'subgroup_hash': 7140686047823682092, 'subgroup_order': 4096, 'subgroup_tex': 'C_8^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.be', 'subgroup_hash': 8410934255771362124, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.y', 'subgroup_hash': 3038957071786079249, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.33', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.y', 'subgroup_hash': 3038957071786079249, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3072, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.s', 'subgroup_hash': 3818207985169911002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.cd', 'subgroup_hash': 4740416006100780166, 'subgroup_order': 3072, 'subgroup_tex': '(C_4\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.by', 'subgroup_hash': 1162845734621426394, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times A_4).C_8^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 275337210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.ca', 'subgroup_hash': 4970863836091519912, 'subgroup_order': 3072, 'subgroup_tex': '(C_8\\times A_4).C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.j', 'subgroup_hash': 5908390958005439981, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275337212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bk', 'subgroup_hash': 6322311603240670760, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^5.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bv', 'subgroup_hash': 6470222411183766275, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^3\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bg', 'subgroup_hash': 2001628760211404906, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bx', 'subgroup_hash': 8601817584548954863, 'subgroup_order': 3072, 'subgroup_tex': '(A_4\\times C_8^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.cb', 'subgroup_hash': 5327596722935860078, 'subgroup_order': 3072, 'subgroup_tex': '(C_4\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bz', 'subgroup_hash': 7845321309585255748, 'subgroup_order': 3072, 'subgroup_tex': 'C_8\\times C_2^3:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.cc', 'subgroup_hash': 2073705634527151080, 'subgroup_order': 3072, 'subgroup_tex': '(C_4\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.k', 'subgroup_hash': 8979610843140509332, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^5.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.w', 'subgroup_hash': 6873357269587587984, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.w', 'subgroup_hash': 6873357269587587984, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bl', 'subgroup_hash': 6950141954542657615, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^5.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bi', 'subgroup_hash': 694890796998705736, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bf', 'subgroup_hash': 3846800382806431871, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bf', 'subgroup_hash': 3846800382806431871, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bj', 'subgroup_hash': 3060728155207034013, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^4\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bj', 'subgroup_hash': 3060728155207034013, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^4\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bh', 'subgroup_hash': 623118452885171235, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bh', 'subgroup_hash': 623118452885171235, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bf', 'subgroup_hash': 3846800382806431871, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bf', 'subgroup_hash': 3846800382806431871, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bu', 'subgroup_hash': 5357336311068756840, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.bw', 'subgroup_hash': 4603045602739063240, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^3\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.cj', 'subgroup_hash': 3221797586604739205, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^3.(C_{16}\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.cm', 'subgroup_hash': 5881256237578654302, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.br', 'subgroup_hash': 4072843497145955887, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^2).D_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bm', 'subgroup_hash': 7574301256080986797, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ck', 'subgroup_hash': 5553866884787388288, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^3.(C_{16}\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bq', 'subgroup_hash': 1470547717625949900, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cn', 'subgroup_hash': 4903292592779853263, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cl', 'subgroup_hash': 1693315920192924832, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cl', 'subgroup_hash': 1693315920192924832, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bo', 'subgroup_hash': 141059303654156670, 'subgroup_order': 3072, 'subgroup_tex': 'C_2\\times C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bp', 'subgroup_hash': 2252111485381142594, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ci', 'subgroup_hash': 5645856836445962256, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^2\\times C_8).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bs', 'subgroup_hash': 5420771388761931002, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.D_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bd', 'subgroup_hash': 7409357153381996225, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bd', 'subgroup_hash': 7409357153381996225, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bc', 'subgroup_hash': 1548721191622213320, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bc', 'subgroup_hash': 1548721191622213320, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ba', 'subgroup_hash': 5682298534846793554, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275337257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ba', 'subgroup_hash': 5682298534846793554, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275337258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ba', 'subgroup_hash': 5682298534846793554, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275337259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ba', 'subgroup_hash': 5682298534846793554, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 275337260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bd', 'subgroup_hash': 7409357153381996225, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bd', 'subgroup_hash': 7409357153381996225, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.x', 'subgroup_hash': 731265429323464742, 'subgroup_order': 3072, 'subgroup_tex': 'C_8\\times C_4^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bb', 'subgroup_hash': 2103837292156584481, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337265
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.x', 'subgroup_hash': 731265429323464742, 'subgroup_order': 3072, 'subgroup_tex': 'C_8\\times C_4^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 275337266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.z', 'subgroup_hash': 9138648193475773200, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.z', 'subgroup_hash': 9138648193475773200, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bb', 'subgroup_hash': 2103837292156584481, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.z', 'subgroup_hash': 9138648193475773200, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bb', 'subgroup_hash': 2103837292156584481, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.z', 'subgroup_hash': 9138648193475773200, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 275337273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bb', 'subgroup_hash': 2103837292156584481, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 275337274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bc', 'subgroup_hash': 1548721191622213320, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.y', 'subgroup_hash': 3038957071786079249, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bc', 'subgroup_hash': 1548721191622213320, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bt', 'subgroup_hash': 6088572613947581460, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^2.(C_8\\times \\SL(2,3))', 'supersolvable': False, 'sylow': 0}
  • id: 275337278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cg', 'subgroup_hash': 5292963307612845295, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cg', 'subgroup_hash': 5292963307612845295, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ce', 'subgroup_hash': 9192368681192555495, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ce', 'subgroup_hash': 9192368681192555495, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bn', 'subgroup_hash': 5477314886536222859, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.bn', 'subgroup_hash': 5477314886536222859, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.t', 'subgroup_hash': 7306239059855300857, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.t', 'subgroup_hash': 7306239059855300857, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ch', 'subgroup_hash': 5968307917581904971, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cf', 'subgroup_hash': 8071193178595043542, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.ch', 'subgroup_hash': 5968307917581904971, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.cf', 'subgroup_hash': 8071193178595043542, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.u', 'subgroup_hash': 3818430872594406724, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.u', 'subgroup_hash': 3818430872594406724, 'subgroup_order': 3072, 'subgroup_tex': '(C_4^2\\times C_8).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.v', 'subgroup_hash': 8071193178595043542, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.32.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '3072.v', 'subgroup_hash': 8071193178595043542, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 275337296
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': True, 'core_order': 2048, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.vm', 'subgroup_hash': 9183391083341895625, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 2048, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.bjp', 'subgroup_hash': 1057464622150059980, 'subgroup_order': 2048, 'subgroup_tex': 'C_4^4.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 2048, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.bjp', 'subgroup_hash': 1057464622150059980, 'subgroup_order': 2048, 'subgroup_tex': 'C_4^4.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.ub', 'subgroup_hash': 2837725370113475866, 'subgroup_order': 2048, 'subgroup_tex': 'C_4^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.36', '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.zq', 'subgroup_hash': 6889426958644069484, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.zq', 'subgroup_hash': 6889426958644069484, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2048, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.N', 'outer_equivalence': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.bmy', 'subgroup_hash': 4818672114787643859, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2048, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.zd', 'subgroup_hash': 4818672114787643859, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2048, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.bmy', 'subgroup_hash': 4818672114787643859, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\times C_8^2.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2048, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.zd', 'subgroup_hash': 4818672114787643859, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\times C_8^2.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.uk', 'subgroup_hash': 8317678054507309342, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.uk', 'subgroup_hash': 8317678054507309342, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.uk', 'subgroup_hash': 8317678054507309342, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 2048, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.48.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.uk', 'subgroup_hash': 8317678054507309342, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 124, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527076', 'subgroup_hash': 5157628305437048390, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^2\\times C_4^2.\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.118', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 118, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.119', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 119, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.117', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 117, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.69', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 124, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527224', 'subgroup_hash': 645342784269590217, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 167, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.147', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 147, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.146', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 146, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.169', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 169, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.116', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 116, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.114', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 114, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.112', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 112, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1536, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.64.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408526610', 'subgroup_hash': 7356059854943266788, 'subgroup_order': 1536, 'subgroup_tex': '(C_4^2\\times C_8).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337328
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 1024, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.yy', 'subgroup_hash': 9183391083329895573, 'subgroup_order': 1024, 'subgroup_tex': 'C_2\\times C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1024, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.187', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 187, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.btr', 'subgroup_hash': 6035191917802018749, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1024, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.187', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 187, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.btr', 'subgroup_hash': 6035191917802018749, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1024, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.btr', 'subgroup_hash': 6035191917802018749, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1024, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.btr', 'subgroup_hash': 6035191917802018749, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\times C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 275337333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.80', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 80, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bbs', 'subgroup_hash': 2458499040001043895, 'subgroup_order': 1024, 'subgroup_tex': 'C_4^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.N', 'outer_equivalence': True, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.106', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.109', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 109, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.107', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 107, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337344
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 1024, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.195', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 195, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4932659687729007010, 'subgroup_order': 1024, 'subgroup_tex': 'C_4^2\\times C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 136, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3346321227150949190, 'subgroup_order': 1024, 'subgroup_tex': 'C_4\\times C_2^3.C_4^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.83', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 83, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3346321227150949190, 'subgroup_order': 1024, 'subgroup_tex': 'C_4\\times C_2^3.C_4^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.82', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 82, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.96.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.79', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 79, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.bdh', 'subgroup_hash': 2354202885886092827, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.307', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 307, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083492', 'subgroup_hash': 1083492, 'subgroup_order': 768, 'subgroup_tex': 'C_2\\times C_4^2.\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.322', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 322, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083492', 'subgroup_hash': 1083492, 'subgroup_order': 768, 'subgroup_tex': 'C_2\\times C_4^2.\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.669', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 669, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': ['C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083492', 'subgroup_hash': 1083492, 'subgroup_order': 768, 'subgroup_tex': 'C_2\\times C_4^2.\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.666', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 666, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083501', 'subgroup_hash': 1083501, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.321', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 321, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083501', 'subgroup_hash': 1083501, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.308', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 308, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083501', 'subgroup_hash': 1083501, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 768, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.128.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.655', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 655, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.(C_8\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083501', 'subgroup_hash': 1083501, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 275337359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1471', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1471, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4):C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420515', 'subgroup_hash': 9183391083329895577, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 512, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.956', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 956, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249624', 'subgroup_hash': 3183331083127895345, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337362
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1470', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1470, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6276915', 'subgroup_hash': 3183329083127895363, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1469', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1469, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6276915', 'subgroup_hash': 3183329083127895363, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.259', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 259, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88042', 'subgroup_hash': 7628228531600437567, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 512, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.961', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 961, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401335', 'subgroup_hash': 2703178485191297516, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.251', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 251, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 512, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.958', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 958, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401335', 'subgroup_hash': 2703178485191297516, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.245', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 245, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 512, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.960', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 960, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401335', 'subgroup_hash': 2703178485191297516, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.250', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 250, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 512, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.959', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 959, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401335', 'subgroup_hash': 2703178485191297516, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.247', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 247, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337374
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1471', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1471, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4):C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.260300', 'subgroup_hash': 4932659687717006990, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337375
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1488', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1488, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times \\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.260300', 'subgroup_hash': 4932659687717006990, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337376
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1471', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1471, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4):C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.260300', 'subgroup_hash': 4932659687717006990, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337377
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 512, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1471', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1471, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4):C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.260300', 'subgroup_hash': 4932659687717006990, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.499', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 499, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2):S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.259', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 259, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88998', 'subgroup_hash': 406973688548164112, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.253', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 253, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.674', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 674, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.673', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 673, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 256, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.670', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 670, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.249', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 249, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.244', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 244, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.192.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.668', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 668, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.2048', 'subgroup_hash': 7257677877620466413, 'subgroup_order': 512, 'subgroup_tex': 'C_8^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 384, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.256.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.2542', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2542, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8^2):C_2', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C8'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.3', 'subgroup_hash': 3, 'subgroup_order': 384, 'subgroup_tex': 'C_4^2.\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 275337390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 256, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.17949', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17949, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53038', 'subgroup_hash': 53038, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337391
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.17864', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17864, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26973', 'subgroup_hash': 26973, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18015, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337393
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18016', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18016, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337395
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18013', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18013, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4).C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337396
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18011', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18011, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_8\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.627', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 627, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.835', 'subgroup_hash': 835, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337398
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18014', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18014, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337399
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18016', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18016, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337400
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18012', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18012, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_8:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337401
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18013', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18013, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,\\mathbb{Z}/4).C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.631', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 631, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.835', 'subgroup_hash': 835, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337403
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18061', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18061, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2.\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6732', 'subgroup_hash': 6732, 'subgroup_order': 256, 'subgroup_tex': 'C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337404
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': False, 'core_order': 256, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5660', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5660, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2.\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.10298', 'subgroup_hash': 10298, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337406
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.17867', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17867, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6732', 'subgroup_hash': 6732, 'subgroup_order': 256, 'subgroup_tex': 'C_4^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337407
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.17866', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17866, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18062', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18062, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4:\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337409
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18060', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18060, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times \\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337410
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 256, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.17863', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17863, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.2369', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2369, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8).D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.835', 'subgroup_hash': 835, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.2344', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2344, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1119', 'subgroup_hash': 1119, 'subgroup_order': 256, 'subgroup_tex': 'C_4.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.628', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 628, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1119', 'subgroup_hash': 1119, 'subgroup_order': 256, 'subgroup_tex': 'C_4.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.629', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 629, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1119', 'subgroup_hash': 1119, 'subgroup_order': 256, 'subgroup_tex': 'C_4.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.384.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.2361', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2361, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8).D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1119', 'subgroup_hash': 1119, 'subgroup_order': 256, 'subgroup_tex': 'C_4.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337417
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087622', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087622, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': 2150, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337418
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087633', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087633, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2301', 'subgroup_hash': 2301, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337419
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087208', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087208, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2301', 'subgroup_hash': 2301, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337420
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087242', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087242, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_4\\times C_8):S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': 2150, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337421
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087237', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087237, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337422
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087220', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087220, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times C_4:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337423
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087236', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087236, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337424
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087221', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087221, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_4\\times A_4).D_4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337425
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087622', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087622, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337426
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087525', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087525, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3.\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337428
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087531, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337429
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 128, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087626', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087626, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337430
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1086124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1086124, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2.D_6:C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337431
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087242', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087242, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_4\\times C_8):S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337432
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1088446', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1088446, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4.C_4:D_4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337433
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1088372', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1088372, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4.C_2^2:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337434
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1088371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1088371, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8:\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337435
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1088448', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1088448, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4.Q_8:C_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337436
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087176', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087176, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8:\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337437
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087152', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087152, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_4\\times A_4).D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337439
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087151', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087151, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4.(C_4.\\OD_{16})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337440
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 128, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1087174', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1087174, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times \\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.768.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.67832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 67832, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:(C_4^2.D_4:C_2)', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C9'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.5', 'subgroup_hash': 5, 'subgroup_order': 128, 'subgroup_tex': 'C_2.C_8^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337442
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408547622', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9156067489174000083, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337443
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 64, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408550737', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4837676939923922369, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:(C_2\\times D_6)', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552478', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1740534724487885074, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_2\\times D_{24})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337445
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552479', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 118341769944620239, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2^2.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337446
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552476', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2535252633234640561, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552473', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31033192861924232, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times C_4^2:C_3:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337448
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408548598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3819819117536323589, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times A_4:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337451
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552477', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1747611142753454295, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2^2.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552480', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7889189987450827060, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337453
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552474', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8714523684266875464, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2^2.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337454
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408552475', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6993320801789819207, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_2^2.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337455
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408548599', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6583357165476860866, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2^2\\times C_8^2).S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408557883', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6915808183994105071, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408547626', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8014867637103330195, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408547625', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1982843114032112233, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408558029', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3935440089526819905, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337460
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408558026', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8969858746188481063, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times C_4^2:C_3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337462
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 64, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408547619', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6827571803129147752, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337463
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408560604', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8188427950486995522, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408560600', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2350145728570502476, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2^4\\times C_8).D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408548600', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4649618403308963676, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2^2\\times C_8^2).S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337466
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408548597', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138405100360329070, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times A_4:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.1536.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408560595', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7809267020506036698, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2^4\\times C_8).D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 275337468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 32, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 645822106683260868, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'Q_8.(C_8\\times C_{24}).C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337469
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8726736197190426457, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_8.D_6.C_2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 275337470
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1627355801215971880, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337471
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4467716284759592686, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': None, '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: 275337473
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4638713495632614682, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337474
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8450991773946390104, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times D_{24})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337475
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 351012189162228907, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_8\\times D_{12})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337476
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9041151920551904239, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_8:S_3)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43371112452117359, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_{24}).C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337478
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8789004655959357224, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.D_6:C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337479
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8726736197190426457, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_8.D_6.C_2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 275337480
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1627355801215971880, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3072.xy', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4557030000036387044, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_4^2).\\GL(2,\\mathbb{Z}/4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337482
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7103135715989065917, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337484
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 32, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3274374589580496760, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 275337485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7804124020767436453, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_8):S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3778574918122735558, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.C_2^2:D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7350612561479135713, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_2^2:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 677652995169124686, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_{24}).C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3886400302433935298, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_6.Q_8.C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 871131018975795440, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_{24}).C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4718985584140195757, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_4\\times C_{24}).C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 32, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1805502363823314080, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times C_4^2:C_3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 275337493
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 32, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.3072.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3909558369294117579, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_4^2\\times A_4).C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': ['C10'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7729527186310574444, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.D_4:C_2', '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: 275337496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2980594424579302086, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_8^2.C_2', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 16, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4554359592743180574, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], '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: 275337498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3822110794683171850, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.(C_8.D_6)', '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: 275337499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1501984122776194682, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', '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: 275337500
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9113241453478458377, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', '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: 275337501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7331790102566319460, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_8^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337502
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7439987436204010651, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', '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: 275337503
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7994869322234918161, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.(C_8.D_6)', '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: 275337504
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1690907934702674548, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', '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: 275337506
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4027547992860303713, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{24}.C_2^2', '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: 275337507
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6144.k', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7757526481727706657, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_4^4).D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 275337508
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6824637113296444367, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337509
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8261928440556201965, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337510
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6861730544705159277, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.D_4:C_2', '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: 275337511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 66320388192315675, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2', '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: 275337512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4731465904316026592, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2', '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: 275337513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 16, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2793834829558085653, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_4^2:S_3', '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: 275337514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5092082473244554835, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_2\\times C_4\\times C_{24}).C_2', '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: 275337515
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8932475952944755067, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_8^2.C_2', '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: 275337517
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6274565071579484572, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_8^2.C_2', '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: 275337518
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 16, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8323208517359037129, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.(C_2\\times C_4\\times C_{24}).C_2', '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: 275337519
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 16, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.6144.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7565769904896954495, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'Q_8.(C_4\\times C_{12}).C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': ['C11'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': False, 'core_order': 8, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5955945607644986350, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2.C_4^2.(C_8\\times C_{24}).C_2', '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: 275337521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3491288472700648882, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_4^2.C_2', '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: 275337522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 8, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4054574021188110127, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.(C_4\\times D_{24})', '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: 275337523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 699071569208841751, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.(C_8\\times D_{12})', '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: 275337524
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7536595873034792973, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 566991905378357671, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337526
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3188776079514085940, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.D_6:C_4:C_4', '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: 275337528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3491288472700648882, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_4^2.C_2', '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: 275337529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 8, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.12288.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5958787275347485168, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_3.C_4^2.C_2^3.C_2', '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: 275337530
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 8, 'counter': 872, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3546990245327378598, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337531
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 8, 'counter': 873, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3797660176381124193, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_2^2:D_{24}', '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: 275337532
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 874, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8243617943996809646, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^2:D_4', '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: 275337533
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 875, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3564178521357808962, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337534
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 876, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5179696826518942887, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.(C_4\\times D_4)', '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: 275337535
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 877, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8956655579198986917, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337536
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 878, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6114912293172281464, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_{12}.D_4:C_2', '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: 275337537
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 8, 'counter': 879, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.12288.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8315305974616107586, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.(C_4\\times D_4)', '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: 275337539
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 4, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24576.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2485520730359202060, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:C_3.C_8^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 275337540
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 4, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24576.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5809894534342897638, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:C_3.C_8^2.C_2', '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: 275337541
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 4, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24576.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8345304756556394788, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2^3', '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: 275337542
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 4, 'counter': 883, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.24576.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4282595142775670963, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2^3', '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: 275337543
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 4, 'counter': 884, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.24576.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6290778249459891968, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:C_3.C_8^2.C_2', '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: 275337544
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 4, 'counter': 885, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.24576.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5903340143922610071, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:C_3.C_8^2.C_2', '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: 275337545
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 4, 'counter': 886, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.24576.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24576.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1739646535901115890, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2.C_6.C_2^3.C_2^3', '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: 275337546
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 4, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '98304.m.24576.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '24576.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7557391916078346197, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3.(C_4^2\\times A_4).C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': ['C12'], '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: 275337547
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 888, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '98304.m.32768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 275337548
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': False, 'core_order': 2, 'counter': 889, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.49152.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '49152.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1760972386649029677, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 49152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.Q_8.C_3.C_8^2.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 2, 'counter': 890, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '98304.m.49152.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '49152.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4839870730563443864, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 49152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8^2:C_3.C_4^2.C_2^3.C_2', 'simple': True, 'solvable': True, 'special_labels': ['D3'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 275337551
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '98304.m', 'ambient_counter': 13, 'ambient_order': 98304, 'ambient_tex': 'C_4^4.C_4^2:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 98304, 'characteristic': True, 'core_order': 1, 'counter': 891, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '98304.m.98304.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '98304.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '98304.m', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4624393922946392465, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 98304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^4.C_4^2:S_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D4', 'C13'], '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: 275336698
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 194655, 442667, 172941], 'label': '98304.m.12.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BK', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336699
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 194655, 586171], 'label': '98304.m.12.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BL', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336700
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 776361, 172941, 827401], 'label': '98304.m.12.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BM', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336701
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 776361, 172941, 827401], 'label': '98304.m.12.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BN', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336702
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 776361, 885267, 827401, 172941], 'label': '98304.m.12.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336703
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 776361, 885267, 827401], 'label': '98304.m.12.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336704
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 586171, 844049, 827401], 'label': '98304.m.12.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336705
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [101169, 844049, 885267, 954901], 'label': '98304.m.12.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BR', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336951
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 43331, 688931, 573457], 'label': '98304.m.24.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EJ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336827
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 254231, 836105, 954901, 172941], 'label': '98304.m.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275336867
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [43331, 442667, 844049, 573457, 967573], 'label': '98304.m.24.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BM', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336868
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [195275, 442667, 123403, 573457, 967573], 'label': '98304.m.24.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BN', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336771
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101157, 172301, 573457, 901387, 557073, 819737, 319513, 885267, 557585, 311833, 819977, 120060], 'label': '98304.m.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336672
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 557585, 314203, 573457, 836361, 844049, 573953, 885267, 172941, 586171, 303129, 557073, 954901, 172301, 255992, 836105], 'label': '98304.m.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336673
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [586171, 844049, 557073, 885267, 1025248, 836105, 836361, 172301, 557585, 573457, 303129, 573953, 446981, 696733], 'label': '98304.m.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336674
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [719299, 586171, 836105, 954901], 'label': '98304.m.12.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '12.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.O', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336675
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 188459, 573457, 172941], 'label': '98304.m.12.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.P', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336676
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 188459, 172941], 'label': '98304.m.12.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Q', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336677
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 194655, 188459, 172941], 'label': '98304.m.12.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.R', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336678
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 194655, 188459, 172941], 'label': '98304.m.12.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.S', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336679
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 442667, 844049, 827401, 172941], 'label': '98304.m.12.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336680
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 442667, 885267, 827401, 172941], 'label': '98304.m.12.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.U', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336681
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 442667, 885267, 827401, 172941], 'label': '98304.m.12.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.V', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336682
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 442667, 885267, 827401, 172941], 'label': '98304.m.12.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336683
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 442667, 885267, 827401, 172941], 'label': '98304.m.12.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336684
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 586171, 557073, 172301, 1025248, 311833, 836361, 573953, 557585, 573457, 303129, 885267, 446981, 696733], 'label': '98304.m.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336685
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 442667, 844049, 827401, 172941], 'label': '98304.m.12.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336686
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [586171, 844049, 172301, 954901, 885267], 'label': '98304.m.12.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Z', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336687
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 442667, 717573], 'label': '98304.m.12.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336688
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 586171, 573953, 954901], 'label': '98304.m.12.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336689
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 442667, 717573], 'label': '98304.m.12.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336690
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 586171, 573953, 954901], 'label': '98304.m.12.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336691
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 442667, 172941], 'label': '98304.m.12.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BE', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336692
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 442667, 172941], 'label': '98304.m.12.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BF', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336693
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 973383, 586171], 'label': '98304.m.12.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BG', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336694
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 973383, 586171], 'label': '98304.m.12.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BH', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336695
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [567387, 586171, 557073, 713485, 1025248, 836105, 836361, 573953, 557585, 573457, 303129, 639003, 446981, 696733], 'label': '98304.m.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336696
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 194655, 442667, 172941], 'label': '98304.m.12.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BI', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336697
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 194655, 586171], 'label': '98304.m.12.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BJ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336706
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [101169, 844049, 557073, 893587, 653292, 836105, 295705, 885267, 557585, 573457, 320025, 573953, 963349, 426373], 'label': '98304.m.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336707
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 194655, 381075, 827401, 586625], 'label': '98304.m.12.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BS', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275336708
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 314203, 381075, 827401, 586625], 'label': '98304.m.12.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BT', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275336709
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 586171, 885267, 827401], 'label': '98304.m.12.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BU', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336710
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 101169, 172941, 827401], 'label': '98304.m.12.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BV', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336711
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 194655, 381075, 586625], 'label': '98304.m.12.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BW', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275336712
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 314203, 381075, 586625], 'label': '98304.m.12.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BX', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275336713
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 101169, 172941, 827401], 'label': '98304.m.12.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BY', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336714
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 586171, 885267, 827401], 'label': '98304.m.12.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BZ', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336715
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [565563, 314203, 172941, 827401], 'label': '98304.m.12.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336716
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 586171, 844049, 827401], 'label': '98304.m.12.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336717
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 172301, 557073, 255992, 573953, 836105, 295705, 885267, 557585, 573457, 827913, 844049, 709405, 442757], 'label': '98304.m.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336718
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [438971, 314203, 172941, 827401], 'label': '98304.m.12.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336719
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 101169, 885267, 827401], 'label': '98304.m.12.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336720
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 586171, 885267, 827401], 'label': '98304.m.12.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336721
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 101169, 885267, 827401, 172941], 'label': '98304.m.12.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336722
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 586171, 885267, 827401], 'label': '98304.m.12.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336723
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [565563, 194655, 172941, 827401], 'label': '98304.m.12.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336724
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [438971, 194655, 172941, 827401], 'label': '98304.m.12.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336725
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [565563, 172301, 885267, 954901], 'label': '98304.m.12.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CJ', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336726
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [375225, 172301, 885267, 954901], 'label': '98304.m.12.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CK', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336727
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 101169, 503823], 'label': '98304.m.12.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '12.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CL', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336728
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 844049, 557073, 255992, 836105, 573953, 836361, 885267, 557585, 573457, 827913, 172301, 693021, 696733], 'label': '98304.m.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336729
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 101169, 503823], 'label': '98304.m.12.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '12.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CM', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336730
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 101169, 836105, 954901], 'label': '98304.m.12.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '12.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CN', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336731
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [719299, 101169, 954901], 'label': '98304.m.12.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '12.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CO', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336732
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 586171, 717573], 'label': '98304.m.12.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336733
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 316323, 954901], 'label': '98304.m.12.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336734
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 586171, 717573], 'label': '98304.m.12.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336735
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 316323, 954901], 'label': '98304.m.12.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336736
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [971153, 194655, 442667, 967573], 'label': '98304.m.12.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CT', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336737
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 586171, 503823], 'label': '98304.m.12.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CU', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275336738
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.G', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 586171, 954901], 'label': '98304.m.12.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CV', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275336739
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 172301, 557073, 255992, 294921, 836105, 836361, 885267, 557585, 573457, 827913, 425997, 693021, 696733], 'label': '98304.m.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.G', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336740
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [971153, 194655, 442667, 827401], 'label': '98304.m.12.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CW', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336741
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [971153, 314203, 586171], 'label': '98304.m.12.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CX', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275336742
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 254103, 586625], 'label': '98304.m.12.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CY', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275336743
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 314203, 172941, 954901], 'label': '98304.m.12.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '12.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CZ', 'subgroup_fusion': None, 'weyl_group': '192.1002'}
  • id: 275336744
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 254231, 573457, 255992, 709405, 442757, 557073, 836105, 557585, 573953, 827913, 295705], 'label': '98304.m.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336745
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 254231, 573457, 255992, 709405, 442757, 557073, 836105, 557585, 294921, 827913, 295705], 'label': '98304.m.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336746
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 885267, 573457, 255992, 709405, 442757, 557073, 573953, 557585, 836105, 827913, 295705], 'label': '98304.m.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336747
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [586171, 172301, 573457, 311833, 446981, 696733, 557073, 885267, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336748
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 762647, 573457, 425997, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336749
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [45483, 172301, 573457, 311833, 446981, 696733, 557073, 885267, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336750
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [565563, 172301, 557073, 295297, 517360, 557825, 836361, 885267, 557585, 573457, 303129, 311833, 430085, 188813], 'label': '98304.m.4.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336751
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [101169, 885267, 573457, 574225, 963349, 426373, 557073, 893587, 557585, 653292, 320025, 295705], 'label': '98304.m.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336752
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 885267, 573457, 172301, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336753
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [719299, 254231, 573457, 967181, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336754
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [567387, 885267, 573457, 713485, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336755
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 885267, 573457, 573953, 709405, 442757, 557073, 255992, 557585, 819209, 827913, 295705], 'label': '98304.m.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336756
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 573457, 573953, 709405, 442757, 557073, 255992, 557585, 836105, 827913, 295705], 'label': '98304.m.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336757
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 172301, 573457, 311817, 709405, 442757, 557073, 255992, 557585, 836105, 827913, 295705], 'label': '98304.m.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336758
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 885267, 573457, 294921, 709405, 442757, 557073, 255992, 557585, 819209, 827913, 295705], 'label': '98304.m.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275336759
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [971153, 960727, 573457, 844049, 573953, 909587, 779752, 574271, 557585, 172813, 557073, 836105], 'label': '98304.m.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275336760
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [318039, 582183, 573457, 950301, 557073, 294921, 319513, 836105, 557585, 754439, 312089, 779752], 'label': '98304.m.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275336761
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [375225, 172301, 557073, 516743, 636396, 49937, 295705, 885267, 557585, 573457, 320025, 311833, 438533, 443269], 'label': '98304.m.4.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336762
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [572247, 582183, 573457, 442909, 557073, 294921, 319513, 836105, 557585, 508175, 312089, 779752], 'label': '98304.m.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275336763
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [582183, 844049, 573457, 885267, 557073, 836105, 319513, 172301, 557585, 573953, 835849, 779752], 'label': '98304.m.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336764
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182991, 582183, 573457, 172813, 557073, 311833, 319513, 573953, 557585, 647195, 312089, 779752], 'label': '98304.m.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336765
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [437199, 582183, 573457, 712973, 557073, 836105, 319513, 573953, 557585, 369155, 312089, 779752], 'label': '98304.m.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336766
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 254231, 573457, 836105, 446981, 696733, 557073, 573953, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '16.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336767
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [383149, 844049, 573457, 246551, 557073, 836105, 319513, 885267, 557585, 573953, 819977, 644844], 'label': '98304.m.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336768
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 172301, 573457, 255992, 573953, 836105, 319513, 885267, 557585, 844049, 312089, 557073], 'label': '98304.m.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275336769
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182991, 844049, 573457, 255992, 836105, 573953, 844297, 885267, 49665, 172813, 581905, 557073], 'label': '98304.m.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275336770
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [318039, 172301, 573457, 255992, 294921, 836105, 844297, 885267, 49665, 950301, 581905, 557073], 'label': '98304.m.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275336772
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [567387, 316323, 557073, 639003, 1025248, 836105, 836361, 713485, 557585, 573457, 303129, 705421, 446981, 696733], 'label': '98304.m.4.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336773
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [37303, 172301, 573457, 688901, 557073, 819737, 319513, 885267, 557585, 311833, 835849, 779752], 'label': '98304.m.16.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BA', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336774
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [318039, 383149, 573457, 950301, 557073, 294921, 303641, 836105, 557585, 1032735, 295193, 644844], 'label': '98304.m.16.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.S', 'old_label': '16.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BB', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275336775
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [572247, 383149, 573457, 753671, 557073, 294921, 303641, 442909, 557585, 573713, 295193, 644844], 'label': '98304.m.16.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.S', 'old_label': '16.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BC', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275336776
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [437199, 311343, 573457, 369155, 557073, 836105, 319513, 712973, 557585, 33553, 312089, 779752], 'label': '98304.m.16.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BD', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336777
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182991, 311343, 573457, 647195, 557073, 311833, 319513, 172813, 557585, 33553, 312089, 779752], 'label': '98304.m.16.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '16.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BE', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336778
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [101169, 573953, 573457, 893587, 963349, 426373, 557073, 836105, 557585, 653292, 320025, 295705], 'label': '98304.m.16.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '16.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336779
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [316323, 254231, 573457, 705421, 446981, 696733, 557073, 836105, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '16.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336780
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [895801, 573953, 573457, 631435, 963349, 426373, 557073, 836105, 557585, 653292, 320025, 295705], 'label': '98304.m.16.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '16.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336781
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 500495, 573457, 844049, 709405, 442757, 557073, 255992, 557585, 573953, 827913, 295705], 'label': '98304.m.16.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BI', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336782
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 950813, 573457, 294921, 446981, 696733, 557073, 762647, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '16.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BJ', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336783
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 573457, 586171, 303129, 172301, 311833, 573953, 446981, 844049, 557073, 557585, 836361, 885267, 696733, 1025248], 'label': '98304.m.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336784
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 316323, 557073, 885267, 1025248, 311833, 836361, 172301, 557585, 573457, 303129, 705421, 446981, 696733], 'label': '98304.m.4.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336785
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 442397, 573457, 294921, 446981, 696733, 557073, 762647, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '16.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BK', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336786
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 713485, 573457, 836105, 446981, 696733, 557073, 376851, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '16.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336787
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101169, 106755, 573457, 311817, 963349, 426373, 557073, 893587, 557585, 653292, 320025, 295705], 'label': '98304.m.16.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '16.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BM', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336788
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101169, 647939, 573457, 311817, 963349, 426373, 557073, 893587, 557585, 653292, 320025, 295705], 'label': '98304.m.16.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '16.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BN', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336789
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [565563, 762647, 573457, 557825, 430085, 188813, 557073, 295297, 557585, 517360, 303129, 836361], 'label': '98304.m.16.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '16.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BO', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336790
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [375225, 762647, 573457, 49937, 438533, 443269, 557073, 516743, 557585, 636396, 320025, 295705], 'label': '98304.m.16.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '16.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BP', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275336791
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [719299, 762647, 573457, 967181, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BQ', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336792
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [101169, 376851, 573457, 49921, 963349, 426373, 557073, 893587, 557585, 653292, 320025, 295705], 'label': '98304.m.16.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '16.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336793
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [567387, 376851, 573457, 713485, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BS', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336794
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 442397, 573457, 294921, 446981, 696733, 557073, 254231, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '16.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BT', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275336795
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 182991, 319513, 844049, 573953, 647195, 779752, 582183, 557585, 573457, 312089, 172813, 557073, 836105], 'label': '98304.m.4.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.L', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275336796
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 950813, 573457, 294921, 446981, 696733, 557073, 254231, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '16.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BU', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275336797
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 713485, 573457, 836105, 446981, 696733, 557073, 885267, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336798
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 172301, 573457, 311833, 446981, 696733, 557073, 376851, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '16.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BW', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275336799
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [375225, 254231, 573457, 49937, 438533, 443269, 557073, 516743, 557585, 636396, 320025, 295705], 'label': '98304.m.16.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '16.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BX', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275336800
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 254231, 573457, 425997, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BY', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336801
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [565563, 254231, 573457, 557825, 430085, 188813, 557073, 295297, 557585, 517360, 303129, 836361], 'label': '98304.m.16.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.P', 'old_label': '16.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BZ', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275336802
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [895801, 885267, 573457, 574225, 963349, 426373, 557073, 631435, 557585, 653292, 320025, 295705], 'label': '98304.m.16.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336803
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [895801, 376851, 573457, 49921, 963349, 426373, 557073, 631435, 557585, 653292, 320025, 295705], 'label': '98304.m.16.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '16.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CB', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275336804
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 376851, 573457, 172301, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CC', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336805
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [520835, 582183, 573457, 451077, 557073, 835593, 319513, 581913, 557585, 49681, 835849, 779752], 'label': '98304.m.16.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.N', 'old_label': '16.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CD', 'subgroup_fusion': None, 'weyl_group': '768.1085612'}
  • id: 275336806
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 586171, 557073, 425997, 1025248, 294921, 836361, 836105, 557585, 573457, 303129, 1041183, 954901, 172941], 'label': '98304.m.4.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336807
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 844049, 573457, 836105, 446981, 696733, 557073, 573953, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CE', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336808
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 491527, 573457, 33537, 446981, 696733, 557073, 32785, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CF', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336809
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 106755, 573457, 311817, 446981, 696733, 557073, 836105, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CG', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336810
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 950813, 573457, 294921, 446981, 696733, 557073, 836105, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CH', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336811
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 172301, 573457, 311833, 446981, 696733, 557073, 573953, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '16.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CI', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275336812
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 885267, 573457, 33537, 446981, 696733, 557073, 573953, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336813
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [971153, 182991, 573457, 844049, 836105, 573953, 827401, 255992, 49665, 172813, 581905, 557073], 'label': '98304.m.16.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '16.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CK', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275336814
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 836105, 573457, 844049, 709405, 442757, 557073, 255992, 557585, 573953, 827913, 295705], 'label': '98304.m.16.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CL', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336815
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [375225, 836105, 573457, 49937, 438533, 443269, 557073, 516743, 557585, 636396, 320025, 295705], 'label': '98304.m.16.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '16.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CM', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336816
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 836105, 573457, 425997, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CN', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336817
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [719299, 586171, 557073, 967181, 1025248, 294921, 836361, 836105, 557585, 573457, 303129, 762119, 954901, 172941], 'label': '98304.m.4.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336818
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [719299, 836105, 573457, 967181, 693021, 696733, 557073, 255992, 557585, 294921, 827913, 836361], 'label': '98304.m.16.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CO', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336819
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [565563, 836105, 573457, 557825, 430085, 188813, 557073, 295297, 557585, 517360, 303129, 836361], 'label': '98304.m.16.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.H', 'old_label': '16.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CP', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275336820
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [316323, 172301, 573457, 311833, 446981, 696733, 557073, 705421, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '16.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CQ', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275336821
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 573953, 573457, 172301, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CR', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336822
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [567387, 573953, 573457, 713485, 693021, 696733, 557073, 255992, 557585, 836105, 827913, 836361], 'label': '98304.m.16.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CS', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336823
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [316323, 885267, 573457, 33537, 446981, 696733, 557073, 705421, 557585, 1025248, 303129, 836361], 'label': '98304.m.16.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336824
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '16.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 254231, 573457, 844049, 709405, 442757, 557073, 255992, 557585, 573953, 827913, 295705], 'label': '98304.m.16.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '16.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CU', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336825
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 182991, 885267, 827401, 312089], 'label': '98304.m.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275336826
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 885267, 954901, 172941], 'label': '98304.m.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275336828
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 101169, 557073, 425997, 653292, 294921, 295705, 836105, 557585, 573457, 320025, 516367, 963349, 426373], 'label': '98304.m.4.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336829
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [719299, 254231, 836105, 954901, 172941], 'label': '98304.m.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275336830
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 885267, 573953, 954901, 172941], 'label': '98304.m.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275336831
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [567387, 885267, 573953, 954901, 172941], 'label': '98304.m.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275336832
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 172301, 172941, 954901], 'label': '98304.m.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275336833
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 442667, 967573], 'label': '98304.m.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.hB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336834
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 822091, 442667, 967573], 'label': '98304.m.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.hC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336835
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 442667, 967573], 'label': '98304.m.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.iB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336836
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 822091, 442667, 967573], 'label': '98304.m.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.iC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336837
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 822091, 442667, 426885], 'label': '98304.m.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.jB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336838
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 822091, 442667, 426885], 'label': '98304.m.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.jC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336839
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [719299, 101169, 557073, 238359, 653292, 294921, 295705, 967181, 557585, 573457, 320025, 426117, 963349, 426373], 'label': '98304.m.4.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336840
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 442667, 426885], 'label': '98304.m.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.kB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.N', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336841
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 442667, 426885], 'label': '98304.m.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.D', 'old_label': '24.kC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.O', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336842
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 188459, 713629], 'label': '98304.m.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.lB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.P', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336843
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 696875, 713629], 'label': '98304.m.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.lC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Q', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336844
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 188459, 713629], 'label': '98304.m.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.mB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.R', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336845
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 696875, 713629], 'label': '98304.m.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.mC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.S', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336846
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 696875, 172941], 'label': '98304.m.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.nB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.T', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336847
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 696875, 172941], 'label': '98304.m.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.nC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.U', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336848
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 188459, 172941], 'label': '98304.m.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.oB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.V', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336849
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [430465, 314203, 188459, 172941], 'label': '98304.m.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.oC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.W', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336850
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [520835, 586171, 557073, 434181, 1025248, 835593, 836361, 581913, 557585, 573457, 303129, 49681, 446981, 696733], 'label': '98304.m.4.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Q', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275336851
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 182991, 434723, 573457, 312089], 'label': '98304.m.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.X', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336852
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 43331, 434723, 573457, 312089], 'label': '98304.m.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Y', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336853
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 182991, 434723], 'label': '98304.m.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Z', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336854
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 43331, 434723], 'label': '98304.m.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BA', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336855
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 182991, 434723, 573457], 'label': '98304.m.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BB', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336856
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 43331, 434723, 573457], 'label': '98304.m.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BC', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336857
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 182991, 434723, 573457], 'label': '98304.m.24.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BD', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336858
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 43331, 434723, 573457], 'label': '98304.m.24.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BE', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336859
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 844049, 573457, 967573], 'label': '98304.m.24.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BF', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336860
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 442667, 123403, 573457, 967573], 'label': '98304.m.24.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BG', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336861
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '4.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 314203, 557073, 844049, 836105, 573953, 836361, 255992, 557585, 573457, 827913, 172301, 693021, 696733], 'label': '98304.m.4.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.R', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275336862
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 960727, 434723, 573457, 312089], 'label': '98304.m.24.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BH', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336863
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 434723, 573457, 312089], 'label': '98304.m.24.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BI', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336864
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 442667, 123403, 573457, 967573], 'label': '98304.m.24.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BJ', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336865
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 960727, 434723], 'label': '98304.m.24.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BK', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336866
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 434723], 'label': '98304.m.24.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BL', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336869
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 442667, 123403, 573457, 967573], 'label': '98304.m.24.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BO', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336870
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 960727, 434723, 573457], 'label': '98304.m.24.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BP', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336871
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 314203, 434723, 573457], 'label': '98304.m.24.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BQ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336872
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 314203, 885267, 954901, 172941], 'label': '98304.m.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275336873
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 960727, 434723, 573457], 'label': '98304.m.24.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BR', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336874
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 314203, 434723, 573457], 'label': '98304.m.24.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BS', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336875
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [182991, 442667, 844049, 827401], 'label': '98304.m.24.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BT', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336876
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 844049, 827401], 'label': '98304.m.24.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BU', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336877
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 442667, 885267, 827401], 'label': '98304.m.24.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BV', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336878
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 442667, 885267, 827401], 'label': '98304.m.24.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BW', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336879
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 442667, 885267, 827401], 'label': '98304.m.24.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BX', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336880
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 442667, 885267, 827401], 'label': '98304.m.24.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BY', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336881
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 254231, 782855], 'label': '98304.m.24.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BZ', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336882
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 254231, 954901], 'label': '98304.m.24.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CA', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336883
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 314203, 442667, 303129, 172941], 'label': '98304.m.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336884
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 254103, 827401], 'label': '98304.m.24.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CB', 'subgroup_fusion': None, 'weyl_group': '256.1431'}
  • id: 275336885
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 557337, 967573], 'label': '98304.m.24.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CC', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336886
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 442667, 885267, 172941], 'label': '98304.m.24.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CD', 'subgroup_fusion': None, 'weyl_group': '256.52804'}
  • id: 275336887
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 442667, 885267, 172941], 'label': '98304.m.24.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.X', 'old_label': '24.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CE', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275336888
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 885267, 573457, 967573], 'label': '98304.m.24.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '24.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CF', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275336889
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 442667, 885267, 967573], 'label': '98304.m.24.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CG', 'subgroup_fusion': None, 'weyl_group': '256.52804'}
  • id: 275336890
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [43331, 442667, 557337, 967573], 'label': '98304.m.24.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CH', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336891
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [182991, 442667, 950429, 827401], 'label': '98304.m.24.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CI', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336892
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 950429, 827401], 'label': '98304.m.24.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CJ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336893
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 950813, 762647, 827401, 782855], 'label': '98304.m.24.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CK', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336894
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 573457, 586171, 303129, 844049, 836105, 573953, 446981, 885267, 557073, 557585, 836361, 434949, 696733, 1025248], 'label': '98304.m.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336895
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 314203, 442667], 'label': '98304.m.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336896
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 442667, 836105, 827401, 172941], 'label': '98304.m.24.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CL', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336897
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [719299, 442667, 836105, 827401, 172941], 'label': '98304.m.24.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CM', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336898
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [43223, 442667, 836105, 827401, 172941], 'label': '98304.m.24.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CN', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336899
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 442667, 836105, 827401, 172941], 'label': '98304.m.24.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CO', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275336900
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 950813, 254231, 954901, 836105], 'label': '98304.m.24.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CP', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336901
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 442667, 254103, 827401], 'label': '98304.m.24.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CQ', 'subgroup_fusion': None, 'weyl_group': '512.4692'}
  • id: 275336902
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 442667, 254103, 827401], 'label': '98304.m.24.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CR', 'subgroup_fusion': None, 'weyl_group': '512.4692'}
  • id: 275336903
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 188459, 844049, 573457, 172941], 'label': '98304.m.24.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CS', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336904
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 188459, 123403, 573457, 172941], 'label': '98304.m.24.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CT', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336905
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [717209, 188459, 123403, 573457, 172941], 'label': '98304.m.24.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CU', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336906
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 586171, 844049, 954901], 'label': '98304.m.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336907
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 188459, 123403, 573457, 172941], 'label': '98304.m.24.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CV', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336908
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 188459, 123403, 573457, 172941], 'label': '98304.m.24.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CW', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336909
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 188459, 844049, 573457, 172941], 'label': '98304.m.24.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CX', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336910
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [442667, 844049, 172301, 172941, 885267, 827401], 'label': '98304.m.24.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CY', 'subgroup_fusion': None, 'weyl_group': '256.12759'}
  • id: 275336911
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 188459, 557337, 172941], 'label': '98304.m.24.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CZ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336912
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319893, 188459, 123403, 573457, 172941], 'label': '98304.m.24.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DA', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275336913
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 188459, 557337, 172941], 'label': '98304.m.24.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DB', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336914
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 442667, 573953, 827401, 172941], 'label': '98304.m.24.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336915
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [442667, 717573, 172301, 827401, 885267], 'label': '98304.m.24.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DD', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336916
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 442667, 573953, 827401, 172941], 'label': '98304.m.24.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336917
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 194655, 442667, 303129, 172941], 'label': '98304.m.6.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336918
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [448863, 442667, 573953, 827401, 172941], 'label': '98304.m.24.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336919
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 442667, 573953, 827401, 172941], 'label': '98304.m.24.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336920
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [586171, 172301, 885267, 954901, 573953], 'label': '98304.m.24.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DH', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336921
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 776361, 172941, 573457], 'label': '98304.m.24.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DI', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336922
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 960727, 688931, 573457], 'label': '98304.m.24.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DJ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336923
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 688931, 573457], 'label': '98304.m.24.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DK', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336924
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 776361, 172941, 573457], 'label': '98304.m.24.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DL', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336925
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 844049, 172941], 'label': '98304.m.24.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DM', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336926
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [195275, 776361, 123403, 573457, 172941], 'label': '98304.m.24.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DN', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336927
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 776361, 123403, 172941], 'label': '98304.m.24.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DO', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336928
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 586171, 885267, 954901], 'label': '98304.m.6.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.F', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336929
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 960727, 688931], 'label': '98304.m.24.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DP', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336930
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 688931], 'label': '98304.m.24.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DQ', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336931
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 960727, 688931, 573457], 'label': '98304.m.24.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DR', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336932
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 314203, 688931, 573457], 'label': '98304.m.24.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DS', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336933
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 960727, 688931], 'label': '98304.m.24.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DT', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336934
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 314203, 688931], 'label': '98304.m.24.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DU', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336935
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 776361, 967573, 573457], 'label': '98304.m.24.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DV', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336936
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [717209, 776361, 967573, 573457], 'label': '98304.m.24.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DW', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336937
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 776361, 123403, 573457, 967573], 'label': '98304.m.24.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DX', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336938
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 776361, 123403, 573457], 'label': '98304.m.24.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DY', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336939
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 194655, 442667], 'label': '98304.m.6.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336940
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [973383, 586171, 844049, 573457], 'label': '98304.m.24.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DZ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336941
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 442667, 123403, 172941], 'label': '98304.m.24.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EA', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336942
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 194655, 635019, 573457, 299913], 'label': '98304.m.24.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EB', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 275336943
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 635019, 299913], 'label': '98304.m.24.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EC', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275336944
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 101169, 172941, 573457], 'label': '98304.m.24.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ED', 'subgroup_fusion': None, 'weyl_group': '256.21128'}
  • id: 275336945
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 1047481, 967573, 573457], 'label': '98304.m.24.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EE', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336946
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 194655, 381075, 573457, 586625], 'label': '98304.m.24.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EF', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 275336947
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 381075, 586625], 'label': '98304.m.24.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EG', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275336948
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 586171, 123403, 573457], 'label': '98304.m.24.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EH', 'subgroup_fusion': None, 'weyl_group': '256.21128'}
  • id: 275336949
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 182991, 688931, 573457], 'label': '98304.m.24.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EI', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336950
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 586171, 885267, 954901], 'label': '98304.m.6.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336952
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [717209, 442667, 123403, 172941], 'label': '98304.m.24.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EK', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336953
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 194655, 635019, 299913], 'label': '98304.m.24.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EL', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 275336954
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 635019, 573457, 299913], 'label': '98304.m.24.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EM', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275336955
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 101169, 172941, 573457], 'label': '98304.m.24.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EN', 'subgroup_fusion': None, 'weyl_group': '256.21128'}
  • id: 275336956
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 442667, 123403, 172941], 'label': '98304.m.24.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EO', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336957
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 442667, 123403, 172941], 'label': '98304.m.24.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EP', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336958
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 442667, 844049, 172941], 'label': '98304.m.24.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EQ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336959
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [184763, 314203, 172941, 573457], 'label': '98304.m.24.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ER', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336960
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [438971, 314203, 172941, 573457], 'label': '98304.m.24.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ES', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336961
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 194655, 586171, 303129], 'label': '98304.m.6.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336962
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 101169, 123403, 573457, 172941], 'label': '98304.m.24.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ET', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336963
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [567775, 101169, 123403, 172941], 'label': '98304.m.24.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EU', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336964
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [184763, 194655, 172941, 573457], 'label': '98304.m.24.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EV', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336965
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [438971, 194655, 172941, 573457], 'label': '98304.m.24.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EW', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336966
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [717209, 1047481, 967573, 573457], 'label': '98304.m.24.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EX', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336967
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 194655, 381075, 586625], 'label': '98304.m.24.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EY', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 275336968
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 381075, 573457, 586625], 'label': '98304.m.24.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EZ', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275336969
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 586171, 123403, 573457], 'label': '98304.m.24.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FA', 'subgroup_fusion': None, 'weyl_group': '256.21128'}
  • id: 275336970
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 182991, 688931], 'label': '98304.m.24.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.et1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FB', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336971
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 43331, 688931], 'label': '98304.m.24.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FC', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336972
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 101169, 954901], 'label': '98304.m.6.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.J', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275336973
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 1047481, 123403, 573457, 967573], 'label': '98304.m.24.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ev1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FD', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336974
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 1047481, 123403, 573457], 'label': '98304.m.24.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.ew1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FE', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336975
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 586171, 844049, 573457], 'label': '98304.m.24.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.ex1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FF', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336976
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [184763, 314203, 967573, 573457], 'label': '98304.m.24.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ey1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FG', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336977
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [438971, 314203, 967573, 573457], 'label': '98304.m.24.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ez1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FH', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336978
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 586171, 123403, 573457], 'label': '98304.m.24.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.fa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FI', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336979
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [567775, 586171, 123403, 573457], 'label': '98304.m.24.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FJ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336980
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 194655, 967573, 573457], 'label': '98304.m.24.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.fc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FK', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336981
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [311355, 194655, 967573, 573457], 'label': '98304.m.24.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.fd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FL', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275336982
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 182991, 688931, 573457], 'label': '98304.m.24.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FM', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336983
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 194655, 586171], 'label': '98304.m.6.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336984
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [840453, 43331, 688931, 573457], 'label': '98304.m.24.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FN', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336985
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 182991, 688931], 'label': '98304.m.24.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FO', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336986
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 43331, 688931], 'label': '98304.m.24.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FP', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336987
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 776361, 827401], 'label': '98304.m.24.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FQ', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336988
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 776361, 827401], 'label': '98304.m.24.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FR', 'subgroup_fusion': None, 'weyl_group': '256.54027'}
  • id: 275336989
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 776361, 885267, 827401], 'label': '98304.m.24.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FS', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336990
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 776361, 885267, 827401], 'label': '98304.m.24.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FT', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275336991
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [101169, 844049, 503823], 'label': '98304.m.24.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FU', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336992
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [101169, 844049, 954901], 'label': '98304.m.24.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.fn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FV', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275336993
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 776361, 827401], 'label': '98304.m.24.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FW', 'subgroup_fusion': None, 'weyl_group': '256.1431'}
  • id: 275336994
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 101169, 885267, 954901], 'label': '98304.m.6.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275336995
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [776361, 844049, 885267, 827401, 172941], 'label': '98304.m.24.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FX', 'subgroup_fusion': None, 'weyl_group': '256.12759'}
  • id: 275336996
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 172301, 381075, 827401, 586625], 'label': '98304.m.24.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FY', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 275336997
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 314203, 885267, 827401, 312089], 'label': '98304.m.24.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FZ', 'subgroup_fusion': None, 'weyl_group': '64.134'}
  • id: 275336998
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 172301, 381075, 827401, 586625], 'label': '98304.m.24.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GA', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 275336999
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 844049, 381075, 827401, 586625], 'label': '98304.m.24.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ft1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GB', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337000
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 172301, 381075, 827401, 586625], 'label': '98304.m.24.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GC', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337001
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 172301, 381075, 827401, 586625], 'label': '98304.m.24.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GD', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337002
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 844049, 381075, 827401, 586625], 'label': '98304.m.24.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GE', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337003
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [565563, 172301, 885267, 827401, 172941], 'label': '98304.m.24.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GF', 'subgroup_fusion': None, 'weyl_group': '256.12743'}
  • id: 275337004
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [101169, 844049, 885267, 827401, 172941], 'label': '98304.m.24.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GG', 'subgroup_fusion': None, 'weyl_group': '256.12743'}
  • id: 275337005
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 573457, 586171, 303129, 425997, 294921, 33537, 954901, 885267, 557073, 557585, 836361, 1041183, 172941, 1025248], 'label': '98304.m.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337006
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 314203, 586171, 303129], 'label': '98304.m.6.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337007
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [586171, 844049, 172301, 827401, 885267], 'label': '98304.m.24.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GH', 'subgroup_fusion': None, 'weyl_group': '256.12743'}
  • id: 275337008
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1034529, 172301, 885267, 827401, 172941], 'label': '98304.m.24.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ga1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GI', 'subgroup_fusion': None, 'weyl_group': '256.12759'}
  • id: 275337009
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [438971, 172301, 885267, 827401, 172941], 'label': '98304.m.24.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GJ', 'subgroup_fusion': None, 'weyl_group': '256.12759'}
  • id: 275337010
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [375225, 172301, 885267, 827401, 172941], 'label': '98304.m.24.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GK', 'subgroup_fusion': None, 'weyl_group': '256.12743'}
  • id: 275337011
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [45853, 182991, 885267, 827401], 'label': '98304.m.24.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GL', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337012
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [45853, 314203, 885267, 827401], 'label': '98304.m.24.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ge1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GM', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337013
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319893, 314203, 885267, 312089], 'label': '98304.m.24.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GN', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337014
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [438971, 182991, 827401], 'label': '98304.m.24.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GO', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337015
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [438971, 314203, 827401], 'label': '98304.m.24.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GP', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337016
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 586513, 779143, 827401, 586625], 'label': '98304.m.24.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GQ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 275337017
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319893, 314203, 586171], 'label': '98304.m.6.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337018
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 254231, 836105, 954901, 172941], 'label': '98304.m.24.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.gj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GR', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 275337019
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 776361, 172941, 573457], 'label': '98304.m.24.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BN', 'old_label': '24.gk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GS', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275337020
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 776361, 885267, 172941], 'label': '98304.m.24.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BO', 'old_label': '24.gl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GT', 'subgroup_fusion': None, 'weyl_group': '256.52804'}
  • id: 275337021
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 776361, 885267, 967573], 'label': '98304.m.24.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BO', 'old_label': '24.gm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GU', 'subgroup_fusion': None, 'weyl_group': '256.52804'}
  • id: 275337022
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 776361, 885267], 'label': '98304.m.24.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BP', 'old_label': '24.gn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GV', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275337023
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 442667, 557337, 172941], 'label': '98304.m.24.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.go1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GW', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337024
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319893, 776361, 967573, 573457], 'label': '98304.m.24.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.gp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GX', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337025
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [973383, 586171, 557337], 'label': '98304.m.24.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.gq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GY', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337026
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 101169, 172941, 573457], 'label': '98304.m.24.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BY', 'old_label': '24.gr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GZ', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275337027
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 101169, 885267, 172941], 'label': '98304.m.24.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.gs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HA', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275337028
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [565563, 314203, 954901], 'label': '98304.m.6.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337029
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 586171, 885267, 573457], 'label': '98304.m.24.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BZ', 'old_label': '24.gt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HB', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275337030
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 586171, 885267], 'label': '98304.m.24.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CG', 'old_label': '24.gu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HC', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275337031
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319893, 442667, 123403, 172941], 'label': '98304.m.24.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HD', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337032
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 442667, 557337, 172941], 'label': '98304.m.24.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.gw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HE', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337033
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319893, 1047481, 967573, 573457], 'label': '98304.m.24.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.gx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HF', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337034
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 586171, 557337], 'label': '98304.m.24.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.gy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HG', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337035
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [101169, 717573, 1045007, 827401], 'label': '98304.m.24.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.gz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HH', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337036
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 776361, 975253, 827401, 172941], 'label': '98304.m.24.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.ha1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HI', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337037
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [572247, 776361, 172941, 827401], 'label': '98304.m.24.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HJ', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337038
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [436299, 776361, 172941, 827401], 'label': '98304.m.24.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HK', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337039
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [586171, 172301, 557585, 573953, 696733, 255992, 303129, 885267, 573457, 557073, 311833, 836361, 446981], 'label': '98304.m.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337040
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [183115, 776361, 975253, 827401], 'label': '98304.m.24.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HL', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337041
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [101169, 106755, 836105, 954901], 'label': '98304.m.24.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.he1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HM', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337042
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 776361, 254103, 827401], 'label': '98304.m.24.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.hf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HN', 'subgroup_fusion': None, 'weyl_group': '512.4692'}
  • id: 275337043
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 776361, 254103, 827401], 'label': '98304.m.24.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.hg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HO', 'subgroup_fusion': None, 'weyl_group': '512.4692'}
  • id: 275337044
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [776361, 717573, 885267, 827401], 'label': '98304.m.24.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HP', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337045
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 172851, 172941, 827401], 'label': '98304.m.24.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337046
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [448863, 316323, 172941, 827401], 'label': '98304.m.24.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337047
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 586171, 573953, 827401], 'label': '98304.m.24.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337048
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [101169, 885267, 573953, 954901], 'label': '98304.m.24.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HT', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337049
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [838615, 586513, 779143, 586625], 'label': '98304.m.24.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HU', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337050
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 557585, 255992, 180365, 836105, 320025, 885267, 573457, 557073, 573953, 819465, 979221], 'label': '98304.m.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337051
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [432323, 586513, 779143, 586625], 'label': '98304.m.24.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HV', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337052
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 586513, 782855, 827401], 'label': '98304.m.24.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.ho1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HW', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337053
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 586513, 782855, 827401], 'label': '98304.m.24.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.hp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HX', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337054
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [318039, 101169, 975253, 827401], 'label': '98304.m.24.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HY', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337055
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 586171, 836105, 827401], 'label': '98304.m.24.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.hr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HZ', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337056
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [572247, 101169, 172941, 827401], 'label': '98304.m.24.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IA', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337057
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [719299, 586171, 836105, 827401], 'label': '98304.m.24.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.ht1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IB', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337058
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [436299, 101169, 172941, 827401], 'label': '98304.m.24.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IC', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337059
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [43223, 586171, 836105, 827401], 'label': '98304.m.24.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.hv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ID', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337060
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [183115, 101169, 975253, 827401, 172941], 'label': '98304.m.24.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IE', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337061
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [101169, 885267, 557585, 893587, 426373, 914660, 320025, 573953, 573457, 557073, 574225, 295705, 963349], 'label': '98304.m.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337062
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 586171, 836105, 827401], 'label': '98304.m.24.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.hx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IF', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337063
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 254231, 836105, 954901], 'label': '98304.m.24.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.L', 'old_label': '24.hy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IG', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337064
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 254231, 836105, 954901], 'label': '98304.m.24.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '24.hz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IH', 'subgroup_fusion': None, 'weyl_group': '256.17224'}
  • id: 275337065
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [586171, 717573, 172301, 885267], 'label': '98304.m.24.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ia1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.II', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337066
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [101169, 717573, 885267, 827401], 'label': '98304.m.24.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ib1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IJ', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337067
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 717573, 381075, 586625], 'label': '98304.m.24.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ic1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IK', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337068
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 717573, 381075, 586625], 'label': '98304.m.24.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.id1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IL', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337069
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 172851, 172941, 827401], 'label': '98304.m.24.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ie1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337070
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [448863, 172851, 172941, 827401], 'label': '98304.m.24.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.if1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337071
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 172851, 172941, 827401], 'label': '98304.m.24.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ig1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337072
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 254231, 557585, 255992, 696733, 294921, 827913, 836105, 573457, 557073, 425997, 836361, 693021], 'label': '98304.m.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337073
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [448863, 586171, 573953, 827401], 'label': '98304.m.24.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ih1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337074
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [194655, 316323, 172941, 827401], 'label': '98304.m.24.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ii1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337075
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 316323, 172941, 827401], 'label': '98304.m.24.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ij1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337076
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [314203, 586171, 573953, 827401], 'label': '98304.m.24.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ik1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337077
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 586171, 573953, 827401], 'label': '98304.m.24.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.il1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337078
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [567387, 316323, 172941, 827401], 'label': '98304.m.24.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.im1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337079
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [316323, 172301, 885267, 954901], 'label': '98304.m.24.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.in1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IV', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337080
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [895801, 885267, 573953, 954901], 'label': '98304.m.24.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.io1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IW', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337081
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 182991, 827401], 'label': '98304.m.24.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ip1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IX', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337082
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 314203, 827401], 'label': '98304.m.24.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.iq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IY', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337083
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [719299, 254231, 557585, 255992, 696733, 294921, 827913, 836105, 573457, 557073, 967181, 836361, 693021], 'label': '98304.m.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337084
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [432323, 586171, 708637], 'label': '98304.m.24.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.N', 'old_label': '24.ir1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IZ', 'subgroup_fusion': None, 'weyl_group': '256.11462'}
  • id: 275337085
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.G', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [432323, 586171, 954901], 'label': '98304.m.24.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.N', 'old_label': '24.is1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JA', 'subgroup_fusion': None, 'weyl_group': '256.11462'}
  • id: 275337086
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.H', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [194655, 442667, 446485], 'label': '98304.m.24.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.it1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337087
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.H', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 586171, 954901], 'label': '98304.m.24.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.iu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337088
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [318039, 101169, 307593], 'label': '98304.m.24.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.iv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JD', 'subgroup_fusion': None, 'weyl_group': '256.11462'}
  • id: 275337089
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.G', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [432323, 101169, 954901], 'label': '98304.m.24.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.iw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JE', 'subgroup_fusion': None, 'weyl_group': '256.11462'}
  • id: 275337090
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.H', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 586171, 446485], 'label': '98304.m.24.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ix1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337091
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.H', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 45483, 954901], 'label': '98304.m.24.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.iy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337092
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.J', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [719299, 586171, 708637], 'label': '98304.m.24.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.O', 'old_label': '24.iz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JH', 'subgroup_fusion': None, 'weyl_group': '256.3418'}
  • id: 275337093
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.I', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [719299, 586171, 954901], 'label': '98304.m.24.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.O', 'old_label': '24.ja1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JI', 'subgroup_fusion': None, 'weyl_group': '256.3418'}
  • id: 275337094
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [316323, 172301, 557585, 705421, 696733, 255992, 303129, 885267, 573457, 557073, 311833, 836361, 446981], 'label': '98304.m.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337095
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [567387, 586171, 446485], 'label': '98304.m.24.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.jb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JJ', 'subgroup_fusion': None, 'weyl_group': '512.12171'}
  • id: 275337096
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [567387, 586171, 954901], 'label': '98304.m.24.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.jc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JK', 'subgroup_fusion': None, 'weyl_group': '512.12171'}
  • id: 275337097
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '3072.M', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [971153, 43331, 442667, 967573], 'label': '98304.m.24.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.F', 'old_label': '24.jd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JL', 'subgroup_fusion': None, 'weyl_group': '256.21215'}
  • id: 275337098
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '3072.M', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [971153, 43331, 442667, 426885], 'label': '98304.m.24.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.F', 'old_label': '24.je1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JM', 'subgroup_fusion': None, 'weyl_group': '256.21215'}
  • id: 275337099
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 442667, 885267, 172941], 'label': '98304.m.24.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JN', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337100
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 442667, 885267, 967573], 'label': '98304.m.24.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JO', 'subgroup_fusion': None, 'weyl_group': '256.12087'}
  • id: 275337101
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 442667, 885267, 967573], 'label': '98304.m.24.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JP', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337102
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [194655, 442667, 844049, 967573], 'label': '98304.m.24.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ji1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JQ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337103
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [971153, 981831, 434723], 'label': '98304.m.24.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JR', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337104
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [717209, 981831, 434723], 'label': '98304.m.24.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JS', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337105
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [895801, 885267, 557585, 631435, 426373, 914660, 320025, 573953, 573457, 557073, 574225, 295705, 963349], 'label': '98304.m.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337106
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 586513, 885267], 'label': '98304.m.24.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.jl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JT', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337107
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.K', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 885267, 954901], 'label': '98304.m.24.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.jm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JU', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337108
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 885267, 827401], 'label': '98304.m.24.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.jn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JV', 'subgroup_fusion': None, 'weyl_group': '256.3216'}
  • id: 275337109
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 442667, 172941, 827401], 'label': '98304.m.24.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JW', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337110
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 442667, 254103, 827401], 'label': '98304.m.24.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JX', 'subgroup_fusion': None, 'weyl_group': '256.12087'}
  • id: 275337111
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 172301, 503823], 'label': '98304.m.24.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JY', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337112
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.JZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 172941, 827401], 'label': '98304.m.24.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JZ', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337113
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.L', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 844049, 172301, 954901], 'label': '98304.m.24.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.js1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KA', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337114
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 442667, 254103, 827401], 'label': '98304.m.24.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KB', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337115
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [194655, 442667, 844049, 827401], 'label': '98304.m.24.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ju1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KC', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337156
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 101169, 827401], 'label': '98304.m.24.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.le1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LM', 'subgroup_fusion': None, 'weyl_group': '256.21128'}
  • id: 275337116
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 573457, 101169, 320025, 958741, 836105, 573953, 963349, 844049, 557073, 557585, 295705, 770439, 426373, 653292], 'label': '98304.m.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337117
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 885267, 557585, 255992, 696733, 836105, 827913, 573953, 573457, 557073, 172301, 836361, 693021], 'label': '98304.m.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337118
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 885267, 172941], 'label': '98304.m.24.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KD', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337119
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [194655, 442667, 557337, 967573], 'label': '98304.m.24.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.jw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KE', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337120
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 442667, 123403, 967573], 'label': '98304.m.24.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.V', 'old_label': '24.jx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KF', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275337121
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 442667, 123403, 967573], 'label': '98304.m.24.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.X', 'old_label': '24.jy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KG', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275337122
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 717573, 172301, 1045007], 'label': '98304.m.24.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.jz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KH', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337123
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.M', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 106755, 172301, 954901], 'label': '98304.m.24.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ka1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KI', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337124
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [194655, 442667, 950429, 827401], 'label': '98304.m.24.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.kb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KJ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337125
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 950813, 45329, 885267], 'label': '98304.m.24.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KK', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337126
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.N', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [586171, 950813, 885267, 954901], 'label': '98304.m.24.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KL', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337127
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 442667, 885267, 827401], 'label': '98304.m.24.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ke1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KM', 'subgroup_fusion': None, 'weyl_group': '512.10085'}
  • id: 275337128
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [567387, 885267, 557585, 255992, 696733, 836105, 827913, 573953, 573457, 557073, 713485, 836361, 693021], 'label': '98304.m.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337129
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 194655, 381075, 299913], 'label': '98304.m.24.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KN', 'subgroup_fusion': None, 'weyl_group': '64.92'}
  • id: 275337130
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 381075, 299913], 'label': '98304.m.24.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.kg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KO', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275337131
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 194655, 635019, 586625], 'label': '98304.m.24.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KP', 'subgroup_fusion': None, 'weyl_group': '64.92'}
  • id: 275337132
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 635019, 586625], 'label': '98304.m.24.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ki1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KQ', 'subgroup_fusion': None, 'weyl_group': '64.254'}
  • id: 275337133
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 586171, 885267], 'label': '98304.m.24.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KR', 'subgroup_fusion': None, 'weyl_group': '256.1636'}
  • id: 275337134
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 101169, 967573], 'label': '98304.m.24.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.kk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KS', 'subgroup_fusion': None, 'weyl_group': '512.171403'}
  • id: 275337135
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [565563, 314203, 967573], 'label': '98304.m.24.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KT', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337136
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [314203, 586171, 844049], 'label': '98304.m.24.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.km1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KU', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337137
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 101169, 885267], 'label': '98304.m.24.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KV', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337138
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 586171, 885267], 'label': '98304.m.24.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ko1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KW', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337139
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 586171, 557585, 885267, 172941, 255992, 303129, 172301, 573457, 557073, 311833, 836361, 954901], 'label': '98304.m.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337140
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 101169, 885267, 967573], 'label': '98304.m.24.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.kp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KX', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337141
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [438971, 194655, 967573], 'label': '98304.m.24.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.kq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KY', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337142
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.KZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [971153, 981831, 688931], 'label': '98304.m.24.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.kr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KZ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337143
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [717209, 981831, 688931], 'label': '98304.m.24.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ks1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LA', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337144
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 586513, 381075, 586625], 'label': '98304.m.24.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LB', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 275337145
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 885267, 172941, 954901], 'label': '98304.m.24.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.ku1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LC', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 275337146
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 586513, 885267], 'label': '98304.m.24.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '24.kv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LD', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337147
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.K', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 885267, 954901], 'label': '98304.m.24.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '24.kw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LE', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337148
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 101169, 827401], 'label': '98304.m.24.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.N', 'old_label': '24.kx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LF', 'subgroup_fusion': None, 'weyl_group': '256.3216'}
  • id: 275337149
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 172301, 254103, 586625], 'label': '98304.m.24.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ky1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LG', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 275337150
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 45483, 557585, 885267, 172941, 255992, 303129, 172301, 573457, 557073, 311833, 836361, 954901], 'label': '98304.m.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337151
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 194655, 586625, 827401], 'label': '98304.m.24.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LH', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337152
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 586625, 827401], 'label': '98304.m.24.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.la1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LI', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337153
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 586171, 827401], 'label': '98304.m.24.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.lb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LJ', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337154
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 314203, 254103, 827401], 'label': '98304.m.24.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LK', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337155
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [971153, 194655, 254103, 827401], 'label': '98304.m.24.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ld1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LL', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 275337157
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 844049, 254103, 586625], 'label': '98304.m.24.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LN', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337158
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 172301, 254103, 586625], 'label': '98304.m.24.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LO', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337159
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 172301, 503823], 'label': '98304.m.24.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.lh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LP', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337160
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 194655, 586625], 'label': '98304.m.24.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.li1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LQ', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337161
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 172301, 557585, 844049, 180365, 573953, 320025, 255992, 573457, 557073, 836105, 819465, 979221], 'label': '98304.m.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337162
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 314203, 586625], 'label': '98304.m.24.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LR', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337163
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 586171, 827401], 'label': '98304.m.24.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.lk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LS', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337164
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 844049, 172941, 954901], 'label': '98304.m.24.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.ll1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LT', 'subgroup_fusion': None, 'weyl_group': '192.1002'}
  • id: 275337165
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 172301, 172941, 954901], 'label': '98304.m.24.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.lm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LU', 'subgroup_fusion': None, 'weyl_group': '192.1002'}
  • id: 275337166
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.L', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 172301, 954901], 'label': '98304.m.24.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ln1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LV', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337167
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 314203, 254103], 'label': '98304.m.24.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LW', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337168
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 194655, 254103], 'label': '98304.m.24.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LX', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337169
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 101169, 254103, 827401], 'label': '98304.m.24.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.lq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LY', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337170
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.LZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [438971, 194655, 827401], 'label': '98304.m.24.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.lr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LZ', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337171
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [565563, 314203, 172941], 'label': '98304.m.24.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ls1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MA', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337172
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182991, 582183, 557585, 172813, 311833, 573953, 295193, 844049, 573457, 844297, 647195, 1025248, 557073], 'label': '98304.m.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337173
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [565563, 194655, 172941], 'label': '98304.m.24.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.lt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MB', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337174
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 101169, 967573], 'label': '98304.m.24.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.lu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MC', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337175
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [314203, 586171, 557337], 'label': '98304.m.24.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.lv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MD', 'subgroup_fusion': None, 'weyl_group': '512.6237'}
  • id: 275337176
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ME', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319893, 586171, 123403], 'label': '98304.m.24.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BZ', 'old_label': '24.lw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ME', 'subgroup_fusion': None, 'weyl_group': '128.689'}
  • id: 275337177
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 101169, 123403], 'label': '98304.m.24.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CD', 'old_label': '24.lx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MF', 'subgroup_fusion': None, 'weyl_group': '256.1573'}
  • id: 275337178
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [432323, 586171, 123403], 'label': '98304.m.24.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '24.ly1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MG', 'subgroup_fusion': None, 'weyl_group': '256.1573'}
  • id: 275337179
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 101169, 123403, 967573], 'label': '98304.m.24.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.lz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MH', 'subgroup_fusion': None, 'weyl_group': '256.21239'}
  • id: 275337180
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [314203, 652163, 762519, 586625], 'label': '98304.m.24.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ma1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MI', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337181
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 172301, 503823], 'label': '98304.m.24.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.mb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MJ', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337182
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 106755, 172941, 954901], 'label': '98304.m.24.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.mc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MK', 'subgroup_fusion': None, 'weyl_group': '192.1002'}
  • id: 275337183
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 582183, 557585, 844049, 836105, 573953, 835849, 885267, 573457, 319513, 450821, 1025248, 557073], 'label': '98304.m.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337184
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.ML', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.M', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375225, 172301, 954901], 'label': '98304.m.24.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.md1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ML', 'subgroup_fusion': None, 'weyl_group': '256.2820'}
  • id: 275337185
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [565563, 194655, 827401], 'label': '98304.m.24.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.me1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MM', 'subgroup_fusion': None, 'weyl_group': '512.223947'}
  • id: 275337186
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 586513, 381075, 586625], 'label': '98304.m.24.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MN', 'subgroup_fusion': None, 'weyl_group': '64.211'}
  • id: 275337187
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 586513, 885267], 'label': '98304.m.24.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '24.mg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MO', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337188
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 885267, 172941, 954901], 'label': '98304.m.24.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.mh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MP', 'subgroup_fusion': None, 'weyl_group': '192.1002'}
  • id: 275337189
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.N', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [565563, 885267, 954901], 'label': '98304.m.24.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '24.mi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MQ', 'subgroup_fusion': None, 'weyl_group': '256.3461'}
  • id: 275337190
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24.MR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [838615, 101169, 885267, 827401], 'label': '98304.m.24.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.N', 'old_label': '24.mj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MR', 'subgroup_fusion': None, 'weyl_group': '512.10085'}
  • id: 275337191
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 557073, 442757, 709405, 557585, 573953, 255992, 827913, 295705, 573457, 836105], 'label': '98304.m.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337192
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 557073, 442757, 709405, 557585, 762647, 294921, 827913, 295705, 573457, 255992], 'label': '98304.m.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337193
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [442397, 557073, 442757, 709405, 557585, 762647, 294921, 827913, 295705, 573457, 255992], 'label': '98304.m.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337194
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [318039, 582183, 557585, 950301, 294921, 33537, 295193, 885267, 573457, 844297, 754439, 1025248, 557073], 'label': '98304.m.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337195
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 557073, 442757, 709405, 557585, 376851, 836105, 827913, 295705, 573457, 255992], 'label': '98304.m.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337196
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 557073, 442757, 709405, 557585, 885267, 836105, 827913, 295705, 573457, 255992], 'label': '98304.m.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337197
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [442397, 557073, 442757, 709405, 557585, 254231, 294921, 827913, 295705, 573457, 255992], 'label': '98304.m.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337198
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 557073, 442757, 709405, 557585, 254231, 294921, 827913, 295705, 573457, 255992], 'label': '98304.m.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337199
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 557073, 442757, 709405, 557585, 885267, 836105, 827913, 295705, 573457, 255992], 'label': '98304.m.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337200
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 557073, 442757, 709405, 557585, 376851, 836105, 827913, 295705, 573457, 255992], 'label': '98304.m.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337201
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 557073, 442757, 709405, 557585, 836105, 573953, 827913, 295705, 573457, 255992], 'label': '98304.m.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337202
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491527, 557073, 442757, 709405, 557585, 836105, 32785, 827913, 295705, 573457, 255992], 'label': '98304.m.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337203
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 557073, 442757, 709405, 557585, 836105, 311817, 827913, 295705, 573457, 255992], 'label': '98304.m.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337204
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 557073, 442757, 709405, 557585, 836105, 294921, 827913, 295705, 573457, 255992], 'label': '98304.m.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337205
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 844049, 557585, 573953, 696733, 255992, 303129, 254231, 573457, 557073, 836105, 836361, 446981], 'label': '98304.m.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337206
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 557073, 442757, 709405, 557585, 573953, 836105, 827913, 295705, 573457, 255992], 'label': '98304.m.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337207
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 557073, 442757, 709405, 557585, 573953, 819209, 827913, 295705, 573457, 255992], 'label': '98304.m.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337208
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [960727, 779752, 909587, 573953, 557585, 574271, 172813, 557073, 311833, 573457, 844049], 'label': '98304.m.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337209
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [971153, 779752, 450821, 573953, 557585, 574271, 844049, 557073, 836105, 573457, 893715], 'label': '98304.m.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337210
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [47199, 779752, 1015839, 835593, 557585, 574271, 950301, 557073, 294921, 573457, 893715], 'label': '98304.m.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337211
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 303641, 836105, 557073, 557585, 844049, 573953, 312089, 779752, 573457, 254231], 'label': '98304.m.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '32.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337212
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 303641, 294921, 557073, 557585, 950813, 836105, 312089, 779752, 573457, 254231], 'label': '98304.m.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '32.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337213
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 500495, 1025248, 303129, 836361, 573457, 573953], 'label': '98304.m.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '32.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337214
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [582183, 319513, 311833, 557073, 557585, 172301, 573953, 835849, 779752, 573457, 885267], 'label': '98304.m.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337215
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [971153, 104188, 385795, 573953, 557585, 916389, 975637, 557073, 836105, 573457, 844049], 'label': '98304.m.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337216
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 950813, 557585, 836105, 696733, 255992, 303129, 254231, 573457, 557073, 294921, 836361, 446981], 'label': '98304.m.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337217
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [318039, 104188, 1015839, 835593, 557585, 916389, 950301, 557073, 294921, 573457, 893715], 'label': '98304.m.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337218
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [971153, 557073, 844049, 172813, 557585, 960727, 255992, 836105, 573953, 573457, 893715], 'label': '98304.m.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275337219
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [62127, 779752, 631579, 294921, 557585, 960727, 172813, 557073, 311833, 573457, 426509], 'label': '98304.m.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '32.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': '384.18015'}
  • id: 275337220
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [383149, 303641, 836105, 557073, 557585, 844049, 573953, 295193, 644844, 573457, 246551], 'label': '98304.m.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.S', 'old_label': '32.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337221
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [844049, 319513, 573953, 836105, 557585, 172301, 255992, 312089, 557073, 573457, 885267], 'label': '98304.m.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337222
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [971153, 303641, 844049, 573969, 557585, 254231, 255992, 819977, 573953, 573457, 836105], 'label': '98304.m.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337223
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [383149, 319513, 311817, 557073, 557585, 106755, 246551, 819977, 644844, 573457, 836105], 'label': '98304.m.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.S', 'old_label': '32.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337224
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [383149, 319513, 574225, 33281, 557585, 885267, 246551, 819977, 644844, 573457, 573953], 'label': '98304.m.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337225
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [318039, 303641, 950301, 294921, 49665, 254231, 255992, 581905, 557073, 573457, 836105], 'label': '98304.m.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337226
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [572247, 303641, 442909, 294921, 49665, 254231, 255992, 581905, 557073, 573457, 836105], 'label': '98304.m.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337227
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 573457, 101169, 320025, 425997, 294921, 574225, 963349, 885267, 557073, 557585, 295705, 516367, 426373, 653292], 'label': '98304.m.2.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337228
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 383149, 557585, 975637, 836105, 573953, 295193, 844049, 573457, 303641, 631323, 644844, 557073], 'label': '98304.m.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337229
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [101157, 303641, 819737, 557073, 557585, 254231, 901387, 295193, 120060, 573457, 836105], 'label': '98304.m.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '32.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337230
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [37303, 303641, 819737, 557073, 557585, 254231, 688901, 312089, 779752, 573457, 836105], 'label': '98304.m.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.S', 'old_label': '32.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': '768.1087633'}
  • id: 275337231
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [311343, 319513, 311833, 33281, 557585, 172301, 33553, 835849, 779752, 573457, 885267], 'label': '98304.m.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337232
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [129205, 319513, 574225, 33281, 557585, 885267, 1032975, 819977, 644844, 573457, 573953], 'label': '98304.m.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337233
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182991, 844297, 172813, 836105, 49665, 885267, 255992, 581905, 557073, 573457, 573953], 'label': '98304.m.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337234
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [437199, 844297, 712973, 836105, 49665, 885267, 255992, 581905, 557073, 573457, 573953], 'label': '98304.m.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337235
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [844049, 557073, 442757, 709405, 557585, 500495, 573953, 827913, 295705, 573457, 255992], 'label': '98304.m.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337236
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101169, 557073, 426373, 963349, 557585, 573953, 653292, 320025, 295705, 573457, 893587], 'label': '98304.m.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '32.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337237
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [318039, 319513, 294921, 557073, 557585, 582183, 754439, 312089, 779752, 573457, 950301], 'label': '98304.m.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337238
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 762647, 1025248, 303129, 836361, 573457, 294921], 'label': '98304.m.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '32.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337239
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [318039, 383149, 557585, 950301, 294921, 574225, 819977, 885267, 573457, 319513, 1032735, 644844, 557073], 'label': '98304.m.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337240
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.H', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [182991, 319513, 311833, 557073, 557585, 582183, 647195, 312089, 779752, 573457, 172813], 'label': '98304.m.32.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BR', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337241
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 254231, 1025248, 303129, 836361, 573457, 836105], 'label': '98304.m.32.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '32.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337242
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [825431, 303641, 294921, 557073, 557585, 383149, 508431, 295193, 644844, 573457, 950301], 'label': '98304.m.32.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.BB', 'old_label': '32.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BT', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337243
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.H', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [182991, 319513, 311833, 557073, 557585, 41527, 647195, 312089, 779752, 573457, 172813], 'label': '98304.m.32.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BU', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337244
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101169, 557073, 426373, 963349, 557585, 294921, 653292, 320025, 295705, 573457, 893587], 'label': '98304.m.32.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '32.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BV', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337245
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [316323, 557073, 696733, 446981, 557585, 762647, 1025248, 303129, 836361, 573457, 705421], 'label': '98304.m.32.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '32.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BW', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337246
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [895801, 557073, 426373, 963349, 557585, 294921, 653292, 320025, 295705, 573457, 631435], 'label': '98304.m.32.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '32.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BX', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337247
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45483, 557073, 696733, 446981, 557585, 254231, 1025248, 303129, 836361, 573457, 836105], 'label': '98304.m.32.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '32.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337248
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [101169, 557073, 426373, 963349, 557585, 836105, 653292, 320025, 295705, 573457, 893587], 'label': '98304.m.32.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '32.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337249
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.J', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [572247, 319513, 294921, 557073, 557585, 582183, 508175, 312089, 779752, 573457, 442909], 'label': '98304.m.32.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CA', 'subgroup_fusion': None, 'weyl_group': '384.5570'}
  • id: 275337250
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [971153, 182991, 49665, 255992, 573953, 172813, 581905, 885267, 573457, 844297, 844049, 557073, 836105], 'label': '98304.m.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337251
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.L', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [437199, 319513, 836105, 557073, 557585, 582183, 369155, 312089, 779752, 573457, 712973], 'label': '98304.m.32.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.M', 'old_label': '32.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CB', 'subgroup_fusion': None, 'weyl_group': '768.1085659'}
  • id: 275337558
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 182991, 442667, 827401], 'label': '98304.m.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337252
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 254231, 1025248, 303129, 836361, 573457, 294921], 'label': '98304.m.32.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '32.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CC', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275337253
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 762647, 1025248, 303129, 836361, 573457, 836105], 'label': '98304.m.32.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CD', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337254
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [316323, 557073, 696733, 446981, 557585, 254231, 1025248, 303129, 836361, 573457, 705421], 'label': '98304.m.32.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '32.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CE', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275337255
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [895801, 557073, 426373, 963349, 557585, 836105, 653292, 320025, 295705, 573457, 631435], 'label': '98304.m.32.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '32.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CF', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337256
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 319513, 836105, 557073, 557585, 844049, 573953, 835849, 779752, 573457, 885267], 'label': '98304.m.32.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.M', 'old_label': '32.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CG', 'subgroup_fusion': None, 'weyl_group': '768.1085659'}
  • id: 275337257
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 827401, 836105, 557073, 557585, 844049, 573953, 312089, 779752, 573457, 172301], 'label': '98304.m.32.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.N', 'old_label': '32.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CH', 'subgroup_fusion': None, 'weyl_group': '768.1085612'}
  • id: 275337258
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 319513, 311833, 557073, 557585, 106755, 311817, 835849, 779752, 573457, 172301], 'label': '98304.m.32.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.N', 'old_label': '32.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CI', 'subgroup_fusion': None, 'weyl_group': '768.1085612'}
  • id: 275337259
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [582183, 319513, 33537, 557073, 557585, 950813, 294921, 835849, 779752, 573457, 885267], 'label': '98304.m.32.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.M', 'old_label': '32.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CJ', 'subgroup_fusion': None, 'weyl_group': '768.1085659'}
  • id: 275337260
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 573953, 1025248, 303129, 836361, 573457, 836105], 'label': '98304.m.32.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CK', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337261
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [37303, 182991, 557585, 172813, 311833, 819737, 312089, 688901, 573457, 319513, 892947, 1025248, 557073], 'label': '98304.m.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': '1536.408552478'}
  • id: 275337262
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 254231, 1025248, 303129, 836361, 573457, 573953], 'label': '98304.m.32.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '32.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CL', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275337263
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [971153, 319513, 819209, 573953, 557585, 885267, 844049, 312089, 557073, 573457, 255992], 'label': '98304.m.32.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CM', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337264
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [101157, 319513, 819737, 557073, 557585, 885267, 574225, 819977, 120060, 573457, 901387], 'label': '98304.m.32.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.U', 'old_label': '32.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CN', 'subgroup_fusion': None, 'weyl_group': '768.1085659'}
  • id: 275337265
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [971153, 827401, 836105, 573953, 557585, 172301, 844049, 835849, 557073, 573457, 255992], 'label': '98304.m.32.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '32.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CO', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337266
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [182991, 827401, 573953, 836105, 49665, 844049, 172813, 581905, 557073, 573457, 255992], 'label': '98304.m.32.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CP', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337267
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [318039, 827401, 836105, 294921, 49665, 172301, 950301, 581905, 557073, 573457, 255992], 'label': '98304.m.32.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CQ', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337268
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [37303, 827401, 819737, 557073, 557585, 172301, 311833, 312089, 779752, 573457, 688901], 'label': '98304.m.32.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.N', 'old_label': '32.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CR', 'subgroup_fusion': None, 'weyl_group': '768.1085612'}
  • id: 275337269
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [182991, 844297, 311817, 836105, 49665, 106755, 172813, 581905, 557073, 573457, 255992], 'label': '98304.m.32.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CS', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337270
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [101157, 844297, 819737, 557073, 557585, 172301, 311833, 819977, 120060, 573457, 901387], 'label': '98304.m.32.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.R', 'old_label': '32.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CT', 'subgroup_fusion': None, 'weyl_group': '768.1085612'}
  • id: 275337271
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [318039, 844297, 819209, 294921, 49665, 885267, 950301, 581905, 557073, 573457, 255992], 'label': '98304.m.32.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.T', 'old_label': '32.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CU', 'subgroup_fusion': None, 'weyl_group': '96.72'}
  • id: 275337272
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [101169, 844049, 557585, 573953, 426373, 914660, 320025, 893587, 573457, 557073, 836105, 295705, 963349], 'label': '98304.m.8.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337273
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [37303, 319513, 819737, 557073, 557585, 885267, 33537, 835849, 779752, 573457, 688901], 'label': '98304.m.32.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.U', 'old_label': '32.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CV', 'subgroup_fusion': None, 'weyl_group': '768.1085659'}
  • id: 275337274
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [316323, 557073, 696733, 446981, 557585, 836105, 1025248, 303129, 836361, 573457, 705421], 'label': '98304.m.32.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CW', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337275
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [844049, 557073, 442757, 709405, 557585, 254231, 573953, 827913, 295705, 573457, 255992], 'label': '98304.m.32.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CX', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337276
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [895801, 557073, 426373, 963349, 557585, 573953, 653292, 320025, 295705, 573457, 631435], 'label': '98304.m.32.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.P', 'old_label': '32.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CY', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275337277
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [971153, 557073, 442757, 709405, 557585, 255992, 573953, 827913, 295705, 573457, 844049], 'label': '98304.m.32.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CZ', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337278
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.H', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 106755, 1025248, 303129, 836361, 573457, 311817], 'label': '98304.m.32.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Q', 'old_label': '32.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DA', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337279
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 950813, 1025248, 303129, 836361, 573457, 294921], 'label': '98304.m.32.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Q', 'old_label': '32.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DB', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337340
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 254231, 172941, 954901], 'label': '98304.m.96.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.K', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337280
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.J', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 442397, 1025248, 303129, 836361, 573457, 294921], 'label': '98304.m.32.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Q', 'old_label': '32.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DC', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337281
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.K', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 647939, 1025248, 303129, 836361, 573457, 311817], 'label': '98304.m.32.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Q', 'old_label': '32.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DD', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337282
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 713485, 1025248, 303129, 836361, 573457, 836105], 'label': '98304.m.32.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DE', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337283
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 254231, 557585, 255992, 180365, 573953, 320025, 836105, 573457, 557073, 844049, 819465, 979221], 'label': '98304.m.8.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.W', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337284
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.M', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 376851, 1025248, 303129, 836361, 573457, 557841], 'label': '98304.m.32.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DF', 'subgroup_fusion': None, 'weyl_group': '1536.408544716'}
  • id: 275337285
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 885267, 1025248, 303129, 836361, 573457, 33537], 'label': '98304.m.32.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337286
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 557073, 696733, 446981, 557585, 172301, 1025248, 303129, 836361, 573457, 311833], 'label': '98304.m.32.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '32.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DH', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337287
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.H', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [375225, 557073, 443269, 438533, 557585, 516743, 636396, 320025, 295705, 573457, 49937], 'label': '98304.m.32.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Z', 'old_label': '32.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DI', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337288
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [432323, 557073, 696733, 693021, 557585, 255992, 294921, 827913, 836361, 573457, 425997], 'label': '98304.m.32.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DJ', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337289
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [565563, 557073, 188813, 430085, 557585, 295297, 517360, 303129, 836361, 573457, 557825], 'label': '98304.m.32.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.Y', 'old_label': '32.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DK', 'subgroup_fusion': None, 'weyl_group': '768.1085727'}
  • id: 275337290
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [719299, 557073, 696733, 693021, 557585, 255992, 294921, 827913, 836361, 573457, 967181], 'label': '98304.m.32.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DL', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337291
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45483, 557073, 696733, 446981, 557585, 885267, 1025248, 303129, 836361, 573457, 33537], 'label': '98304.m.32.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337292
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45483, 557073, 696733, 446981, 557585, 172301, 1025248, 303129, 836361, 573457, 311833], 'label': '98304.m.32.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '32.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DN', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337293
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [567387, 557073, 696733, 693021, 557585, 255992, 836105, 827913, 836361, 573457, 713485], 'label': '98304.m.32.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DO', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337294
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [101169, 106755, 557585, 893587, 426373, 914660, 320025, 836105, 573457, 557073, 311817, 295705, 963349], 'label': '98304.m.8.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337295
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [314203, 557073, 696733, 693021, 557585, 255992, 836105, 827913, 836361, 573457, 172301], 'label': '98304.m.32.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '32.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DP', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337296
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 172301, 885267, 827401, 836361], 'label': '98304.m.48.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.A', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275337297
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182991, 844049, 885267, 827401, 836361], 'label': '98304.m.48.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.B', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337298
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [318039, 172301, 885267, 827401, 836361], 'label': '98304.m.48.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.C', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337299
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 254231, 836105, 954901, 172941], 'label': '98304.m.48.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.D', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337300
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 254231, 836105, 954901, 172941], 'label': '98304.m.48.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.E', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337301
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 885267, 573953, 954901, 172941], 'label': '98304.m.48.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.F', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337302
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '384.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [170203, 500495, 172941, 954901], 'label': '98304.m.48.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.G', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337303
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '384.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 885267, 172941, 954901], 'label': '98304.m.48.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.H', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337304
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '384.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1034841, 254231, 172941, 954901], 'label': '98304.m.48.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.I', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337305
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [565563, 254231, 557585, 295297, 188813, 763880, 303129, 836105, 573457, 557073, 557825, 836361, 430085], 'label': '98304.m.8.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337306
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '384.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [59995, 885267, 172941, 954901], 'label': '98304.m.48.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.J', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337307
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 885267, 172941, 954901], 'label': '98304.m.48.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.K', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337308
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 172941, 954901], 'label': '98304.m.48.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.L', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337309
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 172301, 172941, 954901], 'label': '98304.m.48.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.M', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337310
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '48.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 885267, 172941, 954901], 'label': '98304.m.48.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.N', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337341
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 254231, 172941, 954901], 'label': '98304.m.96.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.L', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337311
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 49665, 954901, 57601, 573457, 573953, 848025, 557073, 303129, 255992], 'label': '98304.m.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337312
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 49665, 954901, 57601, 573457, 294921, 848025, 557073, 303129, 255992], 'label': '98304.m.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.B', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337313
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 49665, 954901, 57601, 573457, 836105, 848025, 557073, 303129, 255992], 'label': '98304.m.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.C', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337314
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 49665, 954901, 57601, 573457, 294921, 848025, 557073, 303129, 255992], 'label': '98304.m.64.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.D', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337315
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 49665, 954901, 57601, 573457, 836105, 848025, 557073, 303129, 255992], 'label': '98304.m.64.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337316
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [375225, 254231, 557585, 516743, 443269, 898788, 320025, 836105, 573457, 557073, 49937, 295705, 438533], 'label': '98304.m.8.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337317
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 49665, 954901, 57601, 573457, 836105, 848025, 557073, 303129, 255992], 'label': '98304.m.64.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.F', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337318
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 49665, 954901, 57601, 573457, 573953, 848025, 557073, 303129, 255992], 'label': '98304.m.64.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.G', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337319
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 311817], 'label': '98304.m.64.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.H', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337320
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 294921], 'label': '98304.m.64.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.I', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337321
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704517, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 819225], 'label': '98304.m.64.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.J', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337322
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 836121], 'label': '98304.m.64.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.K', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337323
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 836105], 'label': '98304.m.64.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.L', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337324
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376851, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 819209], 'label': '98304.m.64.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.M', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337325
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 819209], 'label': '98304.m.64.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.N', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337326
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '64.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 49665, 954901, 57601, 573457, 255992, 848025, 557073, 303129, 836105], 'label': '98304.m.64.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.O', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337327
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [432323, 586171, 557585, 1041183, 696733, 255992, 303129, 425997, 573457, 557073, 294921, 836361, 446981], 'label': '98304.m.8.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.M', 'old_label': '8.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BA', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337328
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 885267, 827401, 836361], 'label': '98304.m.96.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.A', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337329
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [318039, 254231, 836105, 827401, 836361], 'label': '98304.m.96.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.B', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337330
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [625365, 254231, 836105, 827401, 836361], 'label': '98304.m.96.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.C', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337331
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182991, 885267, 573953, 827401, 836361], 'label': '98304.m.96.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.D', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337332
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [437199, 885267, 573953, 827401, 836361], 'label': '98304.m.96.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.E', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337333
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 573953, 836105, 954901, 172941], 'label': '98304.m.96.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.F', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337334
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 500495, 172941, 954901], 'label': '98304.m.96.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.G', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337335
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 500495, 172941, 954901], 'label': '98304.m.96.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.H', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337336
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 376851, 172941, 954901], 'label': '98304.m.96.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.I', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337337
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 885267, 172941, 954901], 'label': '98304.m.96.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.J', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337338
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 573457, 314203, 827913, 255992, 573953, 172301, 693021, 885267, 557073, 557585, 836361, 844049, 696733, 836105], 'label': '98304.m.2.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.F', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337339
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [432323, 101169, 557585, 516367, 951189, 914660, 320025, 425997, 573457, 557073, 294921, 295705, 455429], 'label': '98304.m.8.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.O', 'old_label': '8.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BB', 'subgroup_fusion': None, 'weyl_group': '1536.408550736'}
  • id: 275337342
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 885267, 172941, 954901], 'label': '98304.m.96.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.M', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337343
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 376851, 172941, 954901], 'label': '98304.m.96.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.N', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337344
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [520835, 172301, 836361, 827401], 'label': '98304.m.96.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.O', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 275337345
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 836105, 172941, 954901], 'label': '98304.m.96.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.P', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337346
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491527, 836105, 172941, 954901], 'label': '98304.m.96.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.Q', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337347
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 836105, 172941, 954901], 'label': '98304.m.96.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.R', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337348
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 836105, 172941, 954901], 'label': '98304.m.96.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.S', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337349
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 573953, 172941, 954901], 'label': '98304.m.96.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.T', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337350
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [719299, 586171, 557585, 762119, 696733, 255992, 303129, 967181, 573457, 557073, 294921, 836361, 446981], 'label': '98304.m.8.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.N', 'old_label': '8.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BC', 'subgroup_fusion': None, 'weyl_group': '1536.408544821'}
  • id: 275337351
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '96.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 573953, 172941, 954901], 'label': '98304.m.96.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.U', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337352
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.A', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337353
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1040655, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.B', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337354
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.C', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337355
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [294921, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.D', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337356
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.E', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337357
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.F', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337358
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '128.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 573457, 57601, 303129, 255992, 954901, 49665, 557073, 848025], 'label': '98304.m.128.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.G', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337359
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 254231, 836105, 827401, 836361], 'label': '98304.m.192.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.A', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337360
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 172301, 369411, 573457, 557585], 'label': '98304.m.192.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.B', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275337361
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [567387, 586171, 557585, 639003, 172941, 255992, 303129, 713485, 573457, 557073, 836105, 836361, 954901], 'label': '98304.m.8.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337362
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 254231, 836105, 827401, 836361], 'label': '98304.m.192.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.C', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337363
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 885267, 573953, 827401, 836361], 'label': '98304.m.192.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.D', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337364
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 573953, 172941, 954901], 'label': '98304.m.192.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.E', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337365
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [55887, 500495, 836361, 827401], 'label': '98304.m.192.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.F', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337366
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 294921, 172941, 954901], 'label': '98304.m.192.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.G', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337367
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [690383, 885267, 836361, 827401], 'label': '98304.m.192.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.H', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337368
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 836105, 172941, 954901], 'label': '98304.m.192.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.I', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337369
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [625365, 254231, 836361, 827401], 'label': '98304.m.192.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.J', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337370
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 294921, 172941, 954901], 'label': '98304.m.192.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.K', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337371
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [977359, 885267, 836361, 827401], 'label': '98304.m.192.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.L', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 275337372
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 844049, 557585, 573953, 696733, 255992, 303129, 885267, 573457, 557073, 836105, 836361, 446981], 'label': '98304.m.8.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337373
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 836105, 172941, 954901], 'label': '98304.m.192.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.M', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337556
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 182991, 442667, 827401], 'label': '98304.m.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337374
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 885267, 836361, 827401], 'label': '98304.m.192.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.N', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337375
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 836361, 827401], 'label': '98304.m.192.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.O', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337376
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 172301, 836361, 827401], 'label': '98304.m.192.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.P', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337377
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 885267, 836361, 827401], 'label': '98304.m.192.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.Q', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337378
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 836105, 172941, 954901], 'label': '98304.m.192.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.R', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337379
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 573953, 172941, 954901], 'label': '98304.m.192.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.S', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337380
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 172941, 954901], 'label': '98304.m.192.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.T', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337381
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 172941, 954901], 'label': '98304.m.192.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.U', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337382
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704517, 172941, 954901], 'label': '98304.m.192.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.V', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337383
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 844049, 557585, 573953, 696733, 255992, 303129, 172301, 573457, 557073, 836105, 836361, 446981], 'label': '98304.m.8.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BF', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337384
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 172941, 954901], 'label': '98304.m.192.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.W', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337385
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 172941, 954901], 'label': '98304.m.192.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.X', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337386
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376851, 172941, 954901], 'label': '98304.m.192.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.Y', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337387
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 172941, 954901], 'label': '98304.m.192.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.Z', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337388
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '192.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 172941, 954901], 'label': '98304.m.192.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.BA', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337389
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '256.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1536.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [255992, 303129, 557073, 848025, 57601, 573457, 49665, 954901], 'label': '98304.m.256.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.A', 'subgroup_fusion': None, 'weyl_group': '1536.408550737'}
  • id: 275337390
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 369411, 573457, 557585], 'label': '98304.m.384.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337391
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 573953, 836105, 827401, 836361], 'label': '98304.m.384.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.B', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337392
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 500495, 836361, 827401], 'label': '98304.m.384.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.C', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337393
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 500495, 836361, 827401], 'label': '98304.m.384.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.D', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337394
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 106755, 557585, 311817, 696733, 255992, 303129, 172301, 573457, 557073, 311833, 836361, 446981], 'label': '98304.m.8.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BG', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337395
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 376851, 836361, 827401], 'label': '98304.m.384.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.E', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337396
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 885267, 836361, 827401], 'label': '98304.m.384.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.F', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337397
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 172941, 954901], 'label': '98304.m.384.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.G', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337398
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 254231, 836361, 827401], 'label': '98304.m.384.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.H', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337399
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 254231, 836361, 827401], 'label': '98304.m.384.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.I', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337400
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 885267, 836361, 827401], 'label': '98304.m.384.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.J', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337401
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 376851, 836361, 827401], 'label': '98304.m.384.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.K', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337402
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1040655, 172941, 954901], 'label': '98304.m.384.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.L', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337403
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 836105, 836361, 827401], 'label': '98304.m.384.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.M', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337404
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 172301, 557585, 573457], 'label': '98304.m.384.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.N', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 275337405
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [586171, 950813, 557585, 294921, 696733, 255992, 303129, 885267, 573457, 557073, 33537, 836361, 446981], 'label': '98304.m.8.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337406
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491527, 836105, 836361, 827401], 'label': '98304.m.384.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.O', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337407
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 836105, 836361, 827401], 'label': '98304.m.384.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.P', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337408
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 836105, 836361, 827401], 'label': '98304.m.384.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.Q', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337557
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 442667, 827401], 'label': '98304.m.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337409
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 573953, 836361, 827401], 'label': '98304.m.384.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.R', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337410
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 573953, 836361, 827401], 'label': '98304.m.384.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.S', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337411
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 172941, 954901], 'label': '98304.m.384.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.T', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337412
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [294921, 172941, 954901], 'label': '98304.m.384.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.U', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337413
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 172941, 954901], 'label': '98304.m.384.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.V', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337414
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 172941, 954901], 'label': '98304.m.384.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.W', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337415
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '384.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 172941, 954901], 'label': '98304.m.384.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.X', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337416
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [971153, 885267, 557585, 844049, 180365, 573953, 320025, 255992, 573457, 557073, 819209, 819465, 979221], 'label': '98304.m.8.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BI', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337417
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 754183, 836105, 573457, 557585], 'label': '98304.m.768.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337418
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 754183, 836105, 573457, 557585], 'label': '98304.m.768.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337419
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 369411, 573953, 573457, 557585], 'label': '98304.m.768.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.C', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337420
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 573953, 836361, 557073, 827401], 'label': '98304.m.768.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.D', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337421
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 294921, 836361, 827401], 'label': '98304.m.768.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.E', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337422
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 836105, 836361, 827401], 'label': '98304.m.768.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.F', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337423
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 294921, 836361, 827401], 'label': '98304.m.768.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.G', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337424
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 836105, 836361, 827401], 'label': '98304.m.768.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.H', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337425
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 369411, 557585, 573457], 'label': '98304.m.768.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.I', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337426
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 172301, 557585, 573457], 'label': '98304.m.768.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.J', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337427
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [375225, 885267, 557585, 574225, 443269, 898788, 320025, 516743, 573457, 557073, 49937, 295705, 438533], 'label': '98304.m.8.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.G', 'old_label': '8.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337428
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 172301, 557585, 573457], 'label': '98304.m.768.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.K', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337429
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 369411, 557585, 573457], 'label': '98304.m.768.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.L', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337430
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 836105, 836361, 827401], 'label': '98304.m.768.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.M', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337431
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 573953, 836361, 827401], 'label': '98304.m.768.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.N', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337432
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106755, 836361, 827401], 'label': '98304.m.768.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.O', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337433
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 836361, 827401], 'label': '98304.m.768.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.P', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337434
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704517, 836361, 827401], 'label': '98304.m.768.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.Q', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337435
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385819, 836361, 827401], 'label': '98304.m.768.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.R', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337436
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 836361, 827401], 'label': '98304.m.768.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.S', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337437
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376851, 836361, 827401], 'label': '98304.m.768.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.T', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337438
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 844049, 557585, 172301, 696733, 836105, 827913, 255992, 573457, 557073, 573953, 836361, 693021], 'label': '98304.m.8.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BK', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337439
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [885267, 836361, 827401], 'label': '98304.m.768.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.U', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337440
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 836361, 827401], 'label': '98304.m.768.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.V', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337441
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '768.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172941, 954901], 'label': '98304.m.768.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.W', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337442
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [754183, 573953, 836105, 573457, 557585], 'label': '98304.m.1536.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337443
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 697117, 385283], 'label': '98304.m.1536.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337444
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 1032223, 557585, 573457], 'label': '98304.m.1536.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.C', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337445
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [884747, 1032223, 557585, 573457], 'label': '98304.m.1536.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.D', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337446
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 909571, 557585, 573457], 'label': '98304.m.1536.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.E', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337447
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 369411, 557585, 573457], 'label': '98304.m.1536.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.F', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337448
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [500495, 836361, 827401, 557073], 'label': '98304.m.1536.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.G', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337449
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '2.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [565563, 573457, 314203, 303129, 172301, 311833, 557825, 430085, 295297, 557073, 557585, 836361, 98315, 188813, 517360], 'label': '98304.m.2.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337450
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 172301, 557585, 425997, 696733, 294921, 827913, 255992, 573457, 557073, 836105, 836361, 693021], 'label': '98304.m.8.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BL', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337451
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 754183, 557585, 573457], 'label': '98304.m.1536.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.H', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337452
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [884747, 754183, 557585, 573457], 'label': '98304.m.1536.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.I', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337453
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 369411, 557585, 573457], 'label': '98304.m.1536.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.J', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337454
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 909571, 557585, 573457], 'label': '98304.m.1536.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.K', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337455
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1040655, 836361, 827401, 557073], 'label': '98304.m.1536.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.L', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337456
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 836105, 557585, 573457], 'label': '98304.m.1536.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.M', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337457
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1024279, 836105, 557585, 573457], 'label': '98304.m.1536.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.N', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337458
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 836105, 557585, 573457], 'label': '98304.m.1536.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.O', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337459
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 836105, 557585, 573457], 'label': '98304.m.1536.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.P', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337460
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 573953, 557585, 573457], 'label': '98304.m.1536.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.Q', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337461
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [565563, 172301, 557585, 311833, 188813, 763880, 303129, 295297, 573457, 557073, 557825, 836361, 430085], 'label': '98304.m.8.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BM', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337462
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [369411, 573953, 557585, 573457], 'label': '98304.m.1536.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.R', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337463
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 836361, 827401, 557073], 'label': '98304.m.1536.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.S', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337464
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [294921, 836361, 827401], 'label': '98304.m.1536.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.T', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337465
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [762647, 836361, 827401], 'label': '98304.m.1536.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.U', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337466
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [254231, 836361, 827401], 'label': '98304.m.1536.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.V', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337467
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '1536.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 836361, 827401], 'label': '98304.m.1536.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.W', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337468
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3072.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1024799, 312089, 827401], 'label': '98304.m.3072.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.A', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337469
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1032223, 573953, 557073, 573457, 557585], 'label': '98304.m.3072.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337470
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 246295, 836105], 'label': '98304.m.3072.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.C', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337471
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611, 246295, 836105], 'label': '98304.m.3072.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.D', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337472
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [314203, 106755, 557585, 172301, 696733, 836105, 827913, 255992, 573457, 557073, 311817, 836361, 693021], 'label': '98304.m.8.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BN', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337473
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [697117, 385283, 573953], 'label': '98304.m.3072.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.E', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337474
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1032223, 294921, 557585, 573457], 'label': '98304.m.3072.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.F', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337475
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [754183, 836105, 557585, 573457], 'label': '98304.m.3072.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.G', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337476
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [754183, 294921, 557585, 573457], 'label': '98304.m.3072.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.H', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337477
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245767, 836105, 557585, 573457], 'label': '98304.m.3072.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.I', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337478
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 836105, 557585, 573457], 'label': '98304.m.3072.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.J', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337479
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [754183, 573953, 557585, 573457], 'label': '98304.m.3072.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.K', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337480
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 385283], 'label': '98304.m.3072.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.L', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337481
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 697117], 'label': '98304.m.3072.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.M', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337482
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611, 697117], 'label': '98304.m.3072.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.N', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337483
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [375225, 172301, 557585, 311833, 443269, 898788, 320025, 516743, 573457, 557073, 49937, 295705, 438533], 'label': '98304.m.8.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BO', 'subgroup_fusion': None, 'weyl_group': '3072.bfg'}
  • id: 275337484
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [425997, 385283], 'label': '98304.m.3072.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.O', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337485
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [639507, 557585, 573457], 'label': '98304.m.3072.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.P', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337486
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [950813, 557585, 573457], 'label': '98304.m.3072.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.Q', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337487
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704517, 557585, 573457], 'label': '98304.m.3072.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.R', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337488
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [884747, 557585, 573457], 'label': '98304.m.3072.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.S', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337489
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [713485, 557585, 573457], 'label': '98304.m.3072.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.T', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337490
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [909571, 557585, 573457], 'label': '98304.m.3072.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.U', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337491
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [369411, 557585, 573457], 'label': '98304.m.3072.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.V', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337492
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [172301, 557585, 573457], 'label': '98304.m.3072.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.W', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337493
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3072.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836361, 827401, 557073], 'label': '98304.m.3072.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.X', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337494
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [432323, 885267, 557585, 425997, 696733, 294921, 827913, 255992, 573457, 557073, 819209, 836361, 693021], 'label': '98304.m.8.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BP', 'subgroup_fusion': None, 'weyl_group': '768.1083794'}
  • id: 275337495
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [246295, 573953, 836105], 'label': '98304.m.6144.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337496
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1032223, 557073, 557585, 573457], 'label': '98304.m.6144.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337497
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611, 491535], 'label': '98304.m.6144.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.C', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337498
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [901643, 491535], 'label': '98304.m.6144.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.D', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337499
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [188701, 893699], 'label': '98304.m.6144.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.E', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337500
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [697117, 385283], 'label': '98304.m.6144.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.F', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337501
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [492063, 557073, 557585, 573457], 'label': '98304.m.6144.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.G', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337502
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611, 246295], 'label': '98304.m.6144.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.H', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337503
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [901643, 246295], 'label': '98304.m.6144.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.I', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337504
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [188701, 385283], 'label': '98304.m.6144.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.J', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337505
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '8.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [565563, 885267, 557585, 33537, 188813, 763880, 303129, 295297, 573457, 557073, 557825, 836361, 430085], 'label': '98304.m.8.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.G', 'old_label': '8.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337506
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [697117, 893699], 'label': '98304.m.6144.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.K', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337507
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 557073, 557585, 573457], 'label': '98304.m.6144.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.L', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337508
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [844049, 836105], 'label': '98304.m.6144.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.M', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337509
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 836105], 'label': '98304.m.6144.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.N', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337510
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611, 836105], 'label': '98304.m.6144.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.O', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337511
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [425997, 836105], 'label': '98304.m.6144.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.P', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337512
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [697117, 573953], 'label': '98304.m.6144.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.Q', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337513
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385283, 573953], 'label': '98304.m.6144.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.R', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337514
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [294921, 557585, 573457], 'label': '98304.m.6144.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.S', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337515
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245767, 557585, 573457], 'label': '98304.m.6144.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.T', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337516
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [971153, 172301, 885267, 954901, 172941], 'label': '98304.m.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': '96.226'}
  • id: 275337517
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [754183, 557585, 573457], 'label': '98304.m.6144.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.U', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337518
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 557585, 573457], 'label': '98304.m.6144.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.V', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337519
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '6144.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [312089, 827401], 'label': '98304.m.6144.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.w1.N', 'projective_image': '98304.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.W', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 275337520
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '12288.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [507919, 557585, 573457], 'label': '98304.m.12288.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337521
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491535, 573953, 557073], 'label': '98304.m.12288.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337522
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491535, 294921], 'label': '98304.m.12288.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.C', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337523
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [246295, 836105], 'label': '98304.m.12288.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.D', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337524
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [246295, 294921], 'label': '98304.m.12288.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.E', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337525
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [753687, 836105], 'label': '98304.m.12288.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.F', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337526
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 836105], 'label': '98304.m.12288.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.G', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337527
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [314203, 844049, 885267, 954901, 172941], 'label': '98304.m.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337528
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [246295, 573953], 'label': '98304.m.12288.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.H', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337529
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073, 557585, 573457], 'label': '98304.m.12288.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.I', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337530
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [622611], 'label': '98304.m.12288.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.J', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337531
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [425997], 'label': '98304.m.12288.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.K', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337532
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [180757], 'label': '98304.m.12288.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.L', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337533
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [901643], 'label': '98304.m.12288.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.M', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337534
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [188701], 'label': '98304.m.12288.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.N', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337535
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [893699], 'label': '98304.m.12288.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.O', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337536
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [385283], 'label': '98304.m.12288.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.P', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337537
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12288.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [697117], 'label': '98304.m.12288.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.Q', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337538
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [432323, 172301, 885267, 954901, 172941], 'label': '98304.m.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': '384.17949'}
  • id: 275337539
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [491535, 557073], 'label': '98304.m.24576.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337540
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1032719, 557073], 'label': '98304.m.24576.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337541
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573953, 557073], 'label': '98304.m.24576.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.C', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337542
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [294921], 'label': '98304.m.24576.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.D', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337543
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [753687], 'label': '98304.m.24576.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.E', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337544
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [246295], 'label': '98304.m.24576.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.F', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337545
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.F', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105], 'label': '98304.m.24576.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.G', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337546
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '24576.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557585, 573457], 'label': '98304.m.24576.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.h1.N', 'projective_image': '98304.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.H', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 275337547
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '32768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '98304.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [378228], 'label': '98304.m.32768.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.a1', 'projective_image': '98304.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 275337548
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '49152.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '49152.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [491535], 'label': '98304.m.49152.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '49152.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '49152.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49152.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337549
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 314203, 442667, 573457, 967573], 'label': '98304.m.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337550
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '49152.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '49152.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073], 'label': '98304.m.49152.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '49152.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '49152.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49152.B', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337551
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '98304.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '98304.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '98304.m.98304.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '98304.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '98304.a1.N', 'projective_image': '98304.m', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98304.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 275337552
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [971153, 314203, 586171, 954901], 'label': '98304.m.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 275337553
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 314203, 442667, 967573], 'label': '98304.m.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337554
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [971153, 43331, 442667, 573457, 967573], 'label': '98304.m.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337555
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [717209, 43331, 442667, 967573], 'label': '98304.m.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337559
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [45853, 314203, 442667, 827401], 'label': '98304.m.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': '512.7521218'}
  • id: 275337560
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 586171, 503823], 'label': '98304.m.12.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '12.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.L', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337561
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [838615, 586171, 503823], 'label': '98304.m.12.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '12.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.M', 'subgroup_fusion': None, 'weyl_group': '512.169535'}
  • id: 275337562
    {'ambient': '98304.m', 'aut_centralizer_order': None, 'aut_label': '12.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [432323, 586171, 836105, 954901], 'label': '98304.m.12.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.H', 'old_label': '12.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.N', 'subgroup_fusion': None, 'weyl_group': '512.169535'}