Abstract group data - 1088.31

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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': '272.23', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 16, 'aut_gen_orders': [4, 4, 2, 2, 4, 16], 'aut_gens': [[1, 2, 32], [1, 6, 32], [1, 10, 32], [1, 18, 32], [1, 570, 48], [553, 2, 32], [1, 2, 96]], 'aut_group': None, 'aut_hash': 3160242281144326426, 'aut_nilpotency_class': 2, 'aut_nilpotent': True, 'aut_order': 1024, 'aut_permdeg': 36, 'aut_perms': [4527719934047319568571000801902773756367, 6370163911027060794751887178517703420366, 295767283552125810520977087869421159966, 6092297747225080530201311677815711765295, 46359276964533400625, 248299763933550219904649672502352683552720], 'aut_phi_ratio': 2.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 4, 1, 1], [8, 1, 4, 1], [8, 2, 2, 1], [8, 4, 2, 1], [16, 2, 8, 1], [16, 4, 4, 1], [17, 1, 16, 1], [34, 1, 16, 1], [34, 2, 16, 1], [34, 4, 16, 1], [68, 1, 32, 1], [68, 2, 16, 1], [68, 4, 16, 1], [136, 1, 64, 1], [136, 2, 32, 1], [136, 4, 32, 1], [272, 2, 128, 1], [272, 4, 64, 1]], 'aut_supersolvable': True, 'aut_tex': '(C_2^2\\times C_8).C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': '256.26308', 'autcent_hash': 26308, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times C_4\\times C_{16}', 'autcentquo_abelian': True, 'autcentquo_cyclic': False, 'autcentquo_exponent': 2, 'autcentquo_group': '4.2', 'autcentquo_hash': 2, 'autcentquo_nilpotent': True, 'autcentquo_order': 4, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 1], [4, 1, 2], [4, 2, 1], [4, 4, 1], [8, 1, 4], [8, 2, 2], [8, 4, 2], [16, 2, 8], [16, 4, 4], [17, 1, 16], [34, 1, 16], [34, 2, 16], [34, 4, 16], [68, 1, 32], [68, 2, 16], [68, 4, 16], [136, 1, 64], [136, 2, 32], [136, 4, 32], [272, 2, 128], [272, 4, 64]], 'center_label': '136.2', 'center_order': 136, 'central_product': True, 'central_quotient': '8.3', 'commutator_count': 1, 'commutator_label': '4.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '17.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 31, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['17.1', 1], ['64.31', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 4, 1, 1], [8, 1, 4, 1], [8, 2, 2, 1], [8, 4, 2, 1], [16, 2, 8, 1], [16, 4, 4, 1], [17, 1, 16, 1], [34, 1, 16, 1], [34, 2, 16, 1], [34, 4, 16, 1], [68, 1, 32, 1], [68, 2, 16, 1], [68, 4, 16, 1], [136, 1, 64, 1], [136, 2, 32, 1], [136, 4, 32, 1], [272, 2, 128, 1], [272, 4, 64, 1]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 432, 'exponent': 272, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 17], 'faithful_reps': [[2, 0, 128]], 'familial': False, 'frattini_label': '16.5', 'frattini_quotient': '68.5', 'hash': 31, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 4, 2], 'inner_gens': [[1, 570, 48], [553, 2, 32], [17, 2, 32]], 'inner_hash': 3, 'inner_nilpotent': True, 'inner_order': 8, 'inner_split': True, 'inner_tex': 'D_4', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 256, 'irrQ_dim': 256, 'irrR_degree': 4, 'irrep_stats': [[1, 272], [2, 204]], 'label': '1088.31', 'linC_count': 128, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 32, 'linQ_degree_count': 4, 'linQ_dim': 32, 'linQ_dim_count': 4, 'linR_count': 64, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'OD32:C34', 'ngens': 7, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [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': 24, 'number_characteristic_subgroups': 34, 'number_conjugacy_classes': 476, 'number_divisions': 24, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 56, 'number_subgroups': 82, 'old_label': None, 'order': 1088, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 7], [4, 8], [8, 16], [16, 32], [17, 16], [34, 112], [68, 128], [136, 256], [272, 512]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 16, 'outer_gen_orders': [2, 4, 16], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 14, 32], [1, 10, 32], [1, 2, 96]], 'outer_group': '128.837', 'outer_hash': 837, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 22, 'outer_perms': [51090942171709440000, 51219345333252096000, 1401602636313], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4\\times C_{16}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 49, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 17], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 3], [16, 5], [32, 4], [64, 3], [256, 1]], 'representations': {'PC': {'code': 2033772657527364677074124176910974991, 'gens': [1, 2, 6], 'pres': [7, -2, -2, -2, -2, -2, 2, -17, 7981, 36, 422, 58, 80, 2021, 124]}, 'Perm': {'d': 49, 'gens': [291322258351212076880766110991504914417332182149989662720000000, 101425310388425719334706507440860125259268239818494701412352000, 25350585729035464156108997278353269116201955850462397906944000, 88471637574347248606003823257811855068144196862018811158528000, 37759001356278293408717324428246400867136348998925911506944000, 12419420874373282104691941482291922192923886086820530577408000, 334764638208000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 136], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '\\OD_{32}:C_{34}', 'transitive_degree': 544, '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: 112168185
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 31, 'group_order': 1088, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 112168296
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 31, 'group_order': 1088, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 16, 'size': 1}
  • id: 112168407
    {'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 31, 'group_order': 1088, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 544, 'size': 2}
  • id: 112168518
    {'aut_label': '2C', 'centralizer': '4.d1.a1', 'counter': 4, 'group_counter': 31, 'group_order': 1088, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1, 'size': 4}
  • id: 112168606
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 31, 'group_order': 1088, 'label': '4A1', 'order': 4, 'powers': [2, 5], 'representative': 24, 'size': 1}
  • id: 112168617
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 31, 'group_order': 1088, 'label': '4A-1', 'order': 4, 'powers': [2, 6], 'representative': 8, 'size': 1}
  • id: 112168628
    {'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 7, 'group_counter': 31, 'group_order': 1088, 'label': '4B', 'order': 4, 'powers': [2, 7], 'representative': 552, 'size': 2}
  • id: 112168639
    {'aut_label': '4C', 'centralizer': '4.d1.a1', 'counter': 8, 'group_counter': 31, 'group_order': 1088, 'label': '4C', 'order': 4, 'powers': [2, 8], 'representative': 545, 'size': 4}
  • id: 112168650
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 31, 'group_order': 1088, 'label': '8A1', 'order': 8, 'powers': [5, 9], 'representative': 572, 'size': 1}
  • id: 112168186
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 31, 'group_order': 1088, 'label': '8A-1', 'order': 8, 'powers': [6, 10], 'representative': 548, 'size': 1}
  • id: 112168197
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 31, 'group_order': 1088, 'label': '8A3', 'order': 8, 'powers': [6, 11], 'representative': 564, 'size': 1}
  • id: 112168208
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 31, 'group_order': 1088, 'label': '8A-3', 'order': 8, 'powers': [5, 12], 'representative': 556, 'size': 1}
  • id: 112168219
    {'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 13, 'group_counter': 31, 'group_order': 1088, 'label': '8B1', 'order': 8, 'powers': [6, 13], 'representative': 4, 'size': 2}
  • id: 112168230
    {'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 14, 'group_counter': 31, 'group_order': 1088, 'label': '8B-1', 'order': 8, 'powers': [5, 14], 'representative': 28, 'size': 2}
  • id: 112168241
    {'aut_label': '8C1', 'centralizer': '4.d1.a1', 'counter': 15, 'group_counter': 31, 'group_order': 1088, 'label': '8C1', 'order': 8, 'powers': [5, 15], 'representative': 5, 'size': 4}
  • id: 112168252
    {'aut_label': '8C1', 'centralizer': '4.d1.a1', 'counter': 16, 'group_counter': 31, 'group_order': 1088, 'label': '8C-1', 'order': 8, 'powers': [6, 16], 'representative': 13, 'size': 4}
  • id: 112168263
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 31, 'group_order': 1088, 'label': '16A1', 'order': 16, 'powers': [13, 17], 'representative': 2, 'size': 2}
  • id: 112168274
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 31, 'group_order': 1088, 'label': '16A-1', 'order': 16, 'powers': [14, 18], 'representative': 30, 'size': 2}
  • id: 112168285
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 31, 'group_order': 1088, 'label': '16A3', 'order': 16, 'powers': [14, 19], 'representative': 6, 'size': 2}
  • id: 112168297
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 31, 'group_order': 1088, 'label': '16A-3', 'order': 16, 'powers': [13, 20], 'representative': 26, 'size': 2}
  • id: 112168308
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 31, 'group_order': 1088, 'label': '16A5', 'order': 16, 'powers': [13, 21], 'representative': 10, 'size': 2}
  • id: 112168319
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 31, 'group_order': 1088, 'label': '16A-5', 'order': 16, 'powers': [14, 22], 'representative': 22, 'size': 2}
  • id: 112168330
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 31, 'group_order': 1088, 'label': '16A7', 'order': 16, 'powers': [14, 23], 'representative': 14, 'size': 2}
  • id: 112168341
    {'aut_label': '16A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 31, 'group_order': 1088, 'label': '16A-7', 'order': 16, 'powers': [13, 24], 'representative': 18, 'size': 2}
  • id: 112168352
    {'aut_label': '16B1', 'centralizer': '4.f1.a1', 'counter': 25, 'group_counter': 31, 'group_order': 1088, 'label': '16B1', 'order': 16, 'powers': [9, 25], 'representative': 3, 'size': 4}
  • id: 112168363
    {'aut_label': '16B1', 'centralizer': '4.f1.a1', 'counter': 26, 'group_counter': 31, 'group_order': 1088, 'label': '16B-1', 'order': 16, 'powers': [10, 26], 'representative': 551, 'size': 4}
  • id: 112168374
    {'aut_label': '16B1', 'centralizer': '4.f1.a1', 'counter': 27, 'group_counter': 31, 'group_order': 1088, 'label': '16B3', 'order': 16, 'powers': [11, 27], 'representative': 575, 'size': 4}
  • id: 112168385
    {'aut_label': '16B1', 'centralizer': '4.f1.a1', 'counter': 28, 'group_counter': 31, 'group_order': 1088, 'label': '16B-3', 'order': 16, 'powers': [12, 28], 'representative': 11, 'size': 4}
  • id: 112168396
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 31, 'group_order': 1088, 'label': '17A1', 'order': 17, 'powers': [31, 1], 'representative': 64, 'size': 1}
  • id: 112168408
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 31, 'group_order': 1088, 'label': '17A-1', 'order': 17, 'powers': [32, 1], 'representative': 1024, 'size': 1}
  • id: 112168419
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 31, 'group_order': 1088, 'label': '17A2', 'order': 17, 'powers': [35, 1], 'representative': 128, 'size': 1}
  • id: 112168430
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 31, 'group_order': 1088, 'label': '17A-2', 'order': 17, 'powers': [36, 1], 'representative': 960, 'size': 1}
  • id: 112168441
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 31, 'group_order': 1088, 'label': '17A3', 'order': 17, 'powers': [39, 1], 'representative': 192, 'size': 1}
  • id: 112168452
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 31, 'group_order': 1088, 'label': '17A-3', 'order': 17, 'powers': [40, 1], 'representative': 896, 'size': 1}
  • id: 112168463
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 31, 'group_order': 1088, 'label': '17A4', 'order': 17, 'powers': [43, 1], 'representative': 256, 'size': 1}
  • id: 112168474
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 31, 'group_order': 1088, 'label': '17A-4', 'order': 17, 'powers': [44, 1], 'representative': 832, 'size': 1}
  • id: 112168485
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 31, 'group_order': 1088, 'label': '17A5', 'order': 17, 'powers': [42, 1], 'representative': 320, 'size': 1}
  • id: 112168496
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 31, 'group_order': 1088, 'label': '17A-5', 'order': 17, 'powers': [41, 1], 'representative': 768, 'size': 1}
  • id: 112168507
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 31, 'group_order': 1088, 'label': '17A6', 'order': 17, 'powers': [38, 1], 'representative': 384, 'size': 1}
  • id: 112168519
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 31, 'group_order': 1088, 'label': '17A-6', 'order': 17, 'powers': [37, 1], 'representative': 704, 'size': 1}
  • id: 112168530
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 31, 'group_order': 1088, 'label': '17A7', 'order': 17, 'powers': [34, 1], 'representative': 448, 'size': 1}
  • id: 112168541
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 31, 'group_order': 1088, 'label': '17A-7', 'order': 17, 'powers': [33, 1], 'representative': 640, 'size': 1}
  • id: 112168552
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 31, 'group_order': 1088, 'label': '17A8', 'order': 17, 'powers': [30, 1], 'representative': 512, 'size': 1}
  • id: 112168563
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 31, 'group_order': 1088, 'label': '17A-8', 'order': 17, 'powers': [29, 1], 'representative': 576, 'size': 1}
  • id: 112168574
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 31, 'group_order': 1088, 'label': '34A1', 'order': 34, 'powers': [31, 2], 'representative': 80, 'size': 1}
  • id: 112168585
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 31, 'group_order': 1088, 'label': '34A-1', 'order': 34, 'powers': [32, 2], 'representative': 1040, 'size': 1}
  • id: 112168596
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 31, 'group_order': 1088, 'label': '34A3', 'order': 34, 'powers': [39, 2], 'representative': 208, 'size': 1}
  • id: 112168604
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 31, 'group_order': 1088, 'label': '34A-3', 'order': 34, 'powers': [40, 2], 'representative': 912, 'size': 1}
  • id: 112168605
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 31, 'group_order': 1088, 'label': '34A5', 'order': 34, 'powers': [42, 2], 'representative': 336, 'size': 1}
  • id: 112168607
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 31, 'group_order': 1088, 'label': '34A-5', 'order': 34, 'powers': [41, 2], 'representative': 784, 'size': 1}
  • id: 112168608
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 31, 'group_order': 1088, 'label': '34A7', 'order': 34, 'powers': [34, 2], 'representative': 464, 'size': 1}
  • id: 112168609
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 31, 'group_order': 1088, 'label': '34A-7', 'order': 34, 'powers': [33, 2], 'representative': 656, 'size': 1}
  • id: 112168610
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 31, 'group_order': 1088, 'label': '34A9', 'order': 34, 'powers': [29, 2], 'representative': 592, 'size': 1}
  • id: 112168611
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 31, 'group_order': 1088, 'label': '34A-9', 'order': 34, 'powers': [30, 2], 'representative': 528, 'size': 1}
  • id: 112168612
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 31, 'group_order': 1088, 'label': '34A11', 'order': 34, 'powers': [37, 2], 'representative': 720, 'size': 1}
  • id: 112168613
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 31, 'group_order': 1088, 'label': '34A-11', 'order': 34, 'powers': [38, 2], 'representative': 400, 'size': 1}
  • id: 112168614
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 31, 'group_order': 1088, 'label': '34A13', 'order': 34, 'powers': [44, 2], 'representative': 848, 'size': 1}
  • id: 112168615
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 31, 'group_order': 1088, 'label': '34A-13', 'order': 34, 'powers': [43, 2], 'representative': 272, 'size': 1}
  • id: 112168616
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 31, 'group_order': 1088, 'label': '34A15', 'order': 34, 'powers': [36, 2], 'representative': 976, 'size': 1}
  • id: 112168618
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 31, 'group_order': 1088, 'label': '34A-15', 'order': 34, 'powers': [35, 2], 'representative': 144, 'size': 1}
  • id: 112168619
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 61, 'group_counter': 31, 'group_order': 1088, 'label': '34B1', 'order': 34, 'powers': [29, 3], 'representative': 32, 'size': 2}
  • id: 112168620
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 31, 'group_order': 1088, 'label': '34B-1', 'order': 34, 'powers': [30, 3], 'representative': 1056, 'size': 2}
  • id: 112168621
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 31, 'group_order': 1088, 'label': '34B3', 'order': 34, 'powers': [33, 3], 'representative': 96, 'size': 2}
  • id: 112168622
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 31, 'group_order': 1088, 'label': '34B-3', 'order': 34, 'powers': [34, 3], 'representative': 992, 'size': 2}
  • id: 112168623
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 31, 'group_order': 1088, 'label': '34B5', 'order': 34, 'powers': [37, 3], 'representative': 160, 'size': 2}
  • id: 112168624
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 31, 'group_order': 1088, 'label': '34B-5', 'order': 34, 'powers': [38, 3], 'representative': 928, 'size': 2}
  • id: 112168625
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 31, 'group_order': 1088, 'label': '34B7', 'order': 34, 'powers': [41, 3], 'representative': 224, 'size': 2}
  • id: 112168626
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 31, 'group_order': 1088, 'label': '34B-7', 'order': 34, 'powers': [42, 3], 'representative': 864, 'size': 2}
  • id: 112168627
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 31, 'group_order': 1088, 'label': '34B9', 'order': 34, 'powers': [44, 3], 'representative': 288, 'size': 2}
  • id: 112168629
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 31, 'group_order': 1088, 'label': '34B-9', 'order': 34, 'powers': [43, 3], 'representative': 800, 'size': 2}
  • id: 112168630
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 71, 'group_counter': 31, 'group_order': 1088, 'label': '34B11', 'order': 34, 'powers': [40, 3], 'representative': 352, 'size': 2}
  • id: 112168631
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 72, 'group_counter': 31, 'group_order': 1088, 'label': '34B-11', 'order': 34, 'powers': [39, 3], 'representative': 736, 'size': 2}
  • id: 112168632
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 73, 'group_counter': 31, 'group_order': 1088, 'label': '34B13', 'order': 34, 'powers': [36, 3], 'representative': 416, 'size': 2}
  • id: 112168633
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 74, 'group_counter': 31, 'group_order': 1088, 'label': '34B-13', 'order': 34, 'powers': [35, 3], 'representative': 672, 'size': 2}
  • id: 112168634
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 75, 'group_counter': 31, 'group_order': 1088, 'label': '34B15', 'order': 34, 'powers': [32, 3], 'representative': 480, 'size': 2}
  • id: 112168635
    {'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 76, 'group_counter': 31, 'group_order': 1088, 'label': '34B-15', 'order': 34, 'powers': [31, 3], 'representative': 608, 'size': 2}
  • id: 112168636
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 77, 'group_counter': 31, 'group_order': 1088, 'label': '34C1', 'order': 34, 'powers': [31, 4], 'representative': 65, 'size': 4}
  • id: 112168637
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 78, 'group_counter': 31, 'group_order': 1088, 'label': '34C-1', 'order': 34, 'powers': [32, 4], 'representative': 1025, 'size': 4}
  • id: 112168638
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 79, 'group_counter': 31, 'group_order': 1088, 'label': '34C3', 'order': 34, 'powers': [39, 4], 'representative': 193, 'size': 4}
  • id: 112168640
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 80, 'group_counter': 31, 'group_order': 1088, 'label': '34C-3', 'order': 34, 'powers': [40, 4], 'representative': 897, 'size': 4}
  • id: 112168641
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 81, 'group_counter': 31, 'group_order': 1088, 'label': '34C5', 'order': 34, 'powers': [42, 4], 'representative': 321, 'size': 4}
  • id: 112168642
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 82, 'group_counter': 31, 'group_order': 1088, 'label': '34C-5', 'order': 34, 'powers': [41, 4], 'representative': 769, 'size': 4}
  • id: 112168643
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 83, 'group_counter': 31, 'group_order': 1088, 'label': '34C7', 'order': 34, 'powers': [34, 4], 'representative': 449, 'size': 4}
  • id: 112168644
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 84, 'group_counter': 31, 'group_order': 1088, 'label': '34C-7', 'order': 34, 'powers': [33, 4], 'representative': 641, 'size': 4}
  • id: 112168645
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 85, 'group_counter': 31, 'group_order': 1088, 'label': '34C9', 'order': 34, 'powers': [29, 4], 'representative': 577, 'size': 4}
  • id: 112168646
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 86, 'group_counter': 31, 'group_order': 1088, 'label': '34C-9', 'order': 34, 'powers': [30, 4], 'representative': 513, 'size': 4}
  • id: 112168647
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 87, 'group_counter': 31, 'group_order': 1088, 'label': '34C11', 'order': 34, 'powers': [37, 4], 'representative': 705, 'size': 4}
  • id: 112168648
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 88, 'group_counter': 31, 'group_order': 1088, 'label': '34C-11', 'order': 34, 'powers': [38, 4], 'representative': 385, 'size': 4}
  • id: 112168649
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 89, 'group_counter': 31, 'group_order': 1088, 'label': '34C13', 'order': 34, 'powers': [44, 4], 'representative': 833, 'size': 4}
  • id: 112168651
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 90, 'group_counter': 31, 'group_order': 1088, 'label': '34C-13', 'order': 34, 'powers': [43, 4], 'representative': 257, 'size': 4}
  • id: 112168652
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 91, 'group_counter': 31, 'group_order': 1088, 'label': '34C15', 'order': 34, 'powers': [36, 4], 'representative': 961, 'size': 4}
  • id: 112168653
    {'aut_label': '34C1', 'centralizer': '4.d1.a1', 'counter': 92, 'group_counter': 31, 'group_order': 1088, 'label': '34C-15', 'order': 34, 'powers': [35, 4], 'representative': 129, 'size': 4}
  • id: 112168654
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 31, 'group_order': 1088, 'label': '68A1', 'order': 68, 'powers': [58, 5], 'representative': 152, 'size': 1}
  • id: 112168655
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 31, 'group_order': 1088, 'label': '68A-1', 'order': 68, 'powers': [57, 6], 'representative': 968, 'size': 1}
  • id: 112168656
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 31, 'group_order': 1088, 'label': '68A3', 'order': 68, 'powers': [50, 6], 'representative': 392, 'size': 1}
  • id: 112168657
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 31, 'group_order': 1088, 'label': '68A-3', 'order': 68, 'powers': [49, 5], 'representative': 728, 'size': 1}
  • id: 112168658
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 31, 'group_order': 1088, 'label': '68A5', 'order': 68, 'powers': [47, 5], 'representative': 664, 'size': 1}
  • id: 112168659
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 31, 'group_order': 1088, 'label': '68A-5', 'order': 68, 'powers': [48, 6], 'representative': 456, 'size': 1}
  • id: 112168660
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 31, 'group_order': 1088, 'label': '68A7', 'order': 68, 'powers': [55, 6], 'representative': 904, 'size': 1}
  • id: 112168187
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 31, 'group_order': 1088, 'label': '68A-7', 'order': 68, 'powers': [56, 5], 'representative': 216, 'size': 1}
  • id: 112168188
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 31, 'group_order': 1088, 'label': '68A9', 'order': 68, 'powers': [60, 5], 'representative': 88, 'size': 1}
  • id: 112168189
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 31, 'group_order': 1088, 'label': '68A-9', 'order': 68, 'powers': [59, 6], 'representative': 1032, 'size': 1}
  • id: 112168190
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 31, 'group_order': 1088, 'label': '68A11', 'order': 68, 'powers': [52, 6], 'representative': 328, 'size': 1}
  • id: 112168191
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 31, 'group_order': 1088, 'label': '68A-11', 'order': 68, 'powers': [51, 5], 'representative': 792, 'size': 1}
  • id: 112168192
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 31, 'group_order': 1088, 'label': '68A13', 'order': 68, 'powers': [45, 5], 'representative': 600, 'size': 1}
  • id: 112168193
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 31, 'group_order': 1088, 'label': '68A-13', 'order': 68, 'powers': [46, 6], 'representative': 520, 'size': 1}
  • id: 112168194
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 31, 'group_order': 1088, 'label': '68A15', 'order': 68, 'powers': [53, 6], 'representative': 840, 'size': 1}
  • id: 112168195
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 31, 'group_order': 1088, 'label': '68A-15', 'order': 68, 'powers': [54, 5], 'representative': 280, 'size': 1}
  • id: 112168196
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 31, 'group_order': 1088, 'label': '68A19', 'order': 68, 'powers': [54, 6], 'representative': 264, 'size': 1}
  • id: 112168198
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 31, 'group_order': 1088, 'label': '68A-19', 'order': 68, 'powers': [53, 5], 'representative': 856, 'size': 1}
  • id: 112168199
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 31, 'group_order': 1088, 'label': '68A21', 'order': 68, 'powers': [46, 5], 'representative': 536, 'size': 1}
  • id: 112168200
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 31, 'group_order': 1088, 'label': '68A-21', 'order': 68, 'powers': [45, 6], 'representative': 584, 'size': 1}
  • id: 112168201
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 31, 'group_order': 1088, 'label': '68A23', 'order': 68, 'powers': [51, 6], 'representative': 776, 'size': 1}
  • id: 112168202
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 31, 'group_order': 1088, 'label': '68A-23', 'order': 68, 'powers': [52, 5], 'representative': 344, 'size': 1}
  • id: 112168203
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 31, 'group_order': 1088, 'label': '68A25', 'order': 68, 'powers': [59, 5], 'representative': 1048, 'size': 1}
  • id: 112168204
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 31, 'group_order': 1088, 'label': '68A-25', 'order': 68, 'powers': [60, 6], 'representative': 72, 'size': 1}
  • id: 112168205
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 31, 'group_order': 1088, 'label': '68A27', 'order': 68, 'powers': [56, 6], 'representative': 200, 'size': 1}
  • id: 112168206
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 31, 'group_order': 1088, 'label': '68A-27', 'order': 68, 'powers': [55, 5], 'representative': 920, 'size': 1}
  • id: 112168207
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 31, 'group_order': 1088, 'label': '68A29', 'order': 68, 'powers': [48, 5], 'representative': 472, 'size': 1}
  • id: 112168209
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 31, 'group_order': 1088, 'label': '68A-29', 'order': 68, 'powers': [47, 6], 'representative': 648, 'size': 1}
  • id: 112168210
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 31, 'group_order': 1088, 'label': '68A31', 'order': 68, 'powers': [49, 6], 'representative': 712, 'size': 1}
  • id: 112168211
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 31, 'group_order': 1088, 'label': '68A-31', 'order': 68, 'powers': [50, 5], 'representative': 408, 'size': 1}
  • id: 112168212
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 31, 'group_order': 1088, 'label': '68A33', 'order': 68, 'powers': [57, 5], 'representative': 984, 'size': 1}
  • id: 112168213
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 31, 'group_order': 1088, 'label': '68A-33', 'order': 68, 'powers': [58, 6], 'representative': 136, 'size': 1}
  • id: 112168214
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 31, 'group_order': 1088, 'label': '68B1', 'order': 68, 'powers': [45, 7], 'representative': 40, 'size': 2}
  • id: 112168215
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 31, 'group_order': 1088, 'label': '68B-1', 'order': 68, 'powers': [46, 7], 'representative': 1064, 'size': 2}
  • id: 112168216
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 31, 'group_order': 1088, 'label': '68B3', 'order': 68, 'powers': [47, 7], 'representative': 104, 'size': 2}
  • id: 112168217
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 31, 'group_order': 1088, 'label': '68B-3', 'order': 68, 'powers': [48, 7], 'representative': 1000, 'size': 2}
  • id: 112168218
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 31, 'group_order': 1088, 'label': '68B5', 'order': 68, 'powers': [49, 7], 'representative': 168, 'size': 2}
  • id: 112168220
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 31, 'group_order': 1088, 'label': '68B-5', 'order': 68, 'powers': [50, 7], 'representative': 936, 'size': 2}
  • id: 112168221
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 31, 'group_order': 1088, 'label': '68B7', 'order': 68, 'powers': [51, 7], 'representative': 232, 'size': 2}
  • id: 112168222
    {'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 31, 'group_order': 1088, 'label': '68B-7', 'order': 68, 'powers': [52, 7], 'representative': 872, 'size': 2}
  • id: 112168223
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  • id: 112168224
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  • id: 112168225
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  • id: 112168226
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  • id: 112168227
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  • id: 112168228
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  • id: 112168229
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  • id: 112168231
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  • id: 112168232
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  • id: 112168233
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  • id: 112168234
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  • id: 112168235
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  • id: 112168236
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  • id: 112168237
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  • id: 112168238
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  • id: 112168239
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  • id: 112168240
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  • id: 112168242
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  • id: 112168243
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  • id: 112168244
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  • id: 112168245
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  • id: 112168246
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  • id: 112168247
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  • id: 112168248
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  • id: 112168249
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  • id: 112168250
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  • id: 112168251
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  • id: 112168253
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  • id: 112168254
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  • id: 112168255
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  • id: 112168256
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  • id: 112168257
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  • id: 112168258
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  • id: 112168259
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  • id: 112168260
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  • id: 112168261
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  • id: 112168262
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  • id: 112168264
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  • id: 112168265
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  • id: 112168266
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  • id: 112168267
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  • id: 112168268
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  • id: 112168269
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  • id: 112168270
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  • id: 112168271
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  • id: 112168272
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 178, 'group_counter': 31, 'group_order': 1088, 'label': '136A-23', 'order': 136, 'powers': [97, 9], 'representative': 892, 'size': 1}
  • id: 112168273
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  • id: 112168275
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  • id: 112168276
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 181, 'group_counter': 31, 'group_order': 1088, 'label': '136A27', 'order': 136, 'powers': [95, 11], 'representative': 756, 'size': 1}
  • id: 112168277
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 182, 'group_counter': 31, 'group_order': 1088, 'label': '136A-27', 'order': 136, 'powers': [96, 12], 'representative': 364, 'size': 1}
  • id: 112168278
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  • id: 112168279
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  • id: 112168280
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  • id: 112168281
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  • id: 112168282
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  • id: 112168283
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  • id: 112168284
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  • id: 112168286
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  • id: 112168287
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  • id: 112168288
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  • id: 112168289
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  • id: 112168290
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  • id: 112168291
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  • id: 112168292
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  • id: 112168293
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  • id: 112168294
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  • id: 112168295
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  • id: 112168298
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  • id: 112168299
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  • id: 112168300
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  • id: 112168301
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  • id: 112168302
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  • id: 112168303
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  • id: 112168304
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  • id: 112168305
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  • id: 112168306
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  • id: 112168307
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 209, 'group_counter': 31, 'group_order': 1088, 'label': '136A57', 'order': 136, 'powers': [119, 9], 'representative': 252, 'size': 1}
  • id: 112168309
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 210, 'group_counter': 31, 'group_order': 1088, 'label': '136A-57', 'order': 136, 'powers': [120, 10], 'representative': 868, 'size': 1}
  • id: 112168310
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 211, 'group_counter': 31, 'group_order': 1088, 'label': '136A59', 'order': 136, 'powers': [94, 11], 'representative': 500, 'size': 1}
  • id: 112168311
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 212, 'group_counter': 31, 'group_order': 1088, 'label': '136A-59', 'order': 136, 'powers': [93, 12], 'representative': 620, 'size': 1}
  • id: 112168312
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 213, 'group_counter': 31, 'group_order': 1088, 'label': '136A61', 'order': 136, 'powers': [122, 12], 'representative': 748, 'size': 1}
  • id: 112168313
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 214, 'group_counter': 31, 'group_order': 1088, 'label': '136A-61', 'order': 136, 'powers': [121, 11], 'representative': 372, 'size': 1}
  • id: 112168314
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 215, 'group_counter': 31, 'group_order': 1088, 'label': '136A63', 'order': 136, 'powers': [99, 10], 'representative': 996, 'size': 1}
  • id: 112168315
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 216, 'group_counter': 31, 'group_order': 1088, 'label': '136A-63', 'order': 136, 'powers': [100, 9], 'representative': 124, 'size': 1}
  • id: 112168316
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 217, 'group_counter': 31, 'group_order': 1088, 'label': '136A65', 'order': 136, 'powers': [114, 9], 'representative': 188, 'size': 1}
  • id: 112168317
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 218, 'group_counter': 31, 'group_order': 1088, 'label': '136A-65', 'order': 136, 'powers': [113, 10], 'representative': 932, 'size': 1}
  • id: 112168318
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 219, 'group_counter': 31, 'group_order': 1088, 'label': '136A67', 'order': 136, 'powers': [107, 11], 'representative': 436, 'size': 1}
  • id: 112168320
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 220, 'group_counter': 31, 'group_order': 1088, 'label': '136A-67', 'order': 136, 'powers': [108, 12], 'representative': 684, 'size': 1}
  • id: 112168321
    {'aut_label': '136B1', 'centralizer': '2.b1.a1', 'counter': 221, 'group_counter': 31, 'group_order': 1088, 'label': '136B1', 'order': 136, 'powers': [109, 13], 'representative': 132, 'size': 2}
  • id: 112168322
    {'aut_label': '136B1', 'centralizer': '2.b1.a1', 'counter': 222, 'group_counter': 31, 'group_order': 1088, 'label': '136B-1', 'order': 136, 'powers': [110, 14], 'representative': 988, 'size': 2}
  • id: 112168323
    {'aut_label': '136B1', 'centralizer': '2.b1.a1', 'counter': 223, 'group_counter': 31, 'group_order': 1088, 'label': '136B3', 'order': 136, 'powers': [104, 14], 'representative': 396, 'size': 2}
  • id: 112168324
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  • id: 112168325
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  • id: 112168327
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  • id: 112168328
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  • id: 112168329
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  • id: 112168331
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  • id: 112168332
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  • id: 112168333
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  • id: 112168335
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  • id: 112168337
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  • id: 112168338
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  • id: 112168339
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  • id: 112168340
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  • id: 112168342
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  • id: 112168344
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  • id: 112168345
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  • id: 112168346
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  • id: 112168347
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  • id: 112168348
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  • id: 112168349
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  • id: 112168350
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  • id: 112168351
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  • id: 112168353
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  • id: 112168354
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  • id: 112168355
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  • id: 112168356
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  • id: 112168357
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  • id: 112168358
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  • id: 112168359
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  • id: 112168360
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  • id: 112168361
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  • id: 112168362
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  • id: 112168364
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  • id: 112168365
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  • id: 112168366
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  • id: 112168367
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  • id: 112168368
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  • id: 112168369
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  • id: 112168370
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  • id: 112168371
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  • id: 112168372
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  • id: 112168373
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  • id: 112168375
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  • id: 112168376
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  • id: 112168377
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  • id: 112168378
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  • id: 112168379
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  • id: 112168380
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  • id: 112168381
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  • id: 112168382
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  • id: 112168383
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  • id: 112168384
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  • id: 112168386
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  • id: 112168387
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  • id: 112168388
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  • id: 112168389
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  • id: 112168390
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  • id: 112168391
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  • id: 112168392
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  • id: 112168393
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  • id: 112168394
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  • id: 112168395
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  • id: 112168397
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  • id: 112168398
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  • id: 112168399
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  • id: 112168400
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  • id: 112168401
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  • id: 112168402
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  • id: 112168403
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  • id: 112168404
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  • id: 112168405
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  • id: 112168406
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  • id: 112168409
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  • id: 112168410
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  • id: 112168411
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  • id: 112168412
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  • id: 112168413
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 304, 'group_counter': 31, 'group_order': 1088, 'label': '272A-21', 'order': 272, 'powers': [240, 22], 'representative': 854, 'size': 2}
  • id: 112168414
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  • id: 112168415
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 306, 'group_counter': 31, 'group_order': 1088, 'label': '272A-23', 'order': 272, 'powers': [242, 24], 'representative': 722, 'size': 2}
  • id: 112168416
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 307, 'group_counter': 31, 'group_order': 1088, 'label': '272A25', 'order': 272, 'powers': [243, 24], 'representative': 530, 'size': 2}
  • id: 112168417
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 308, 'group_counter': 31, 'group_order': 1088, 'label': '272A-25', 'order': 272, 'powers': [244, 23], 'representative': 54, 'size': 2}
  • id: 112168418
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 309, 'group_counter': 31, 'group_order': 1088, 'label': '272A27', 'order': 272, 'powers': [245, 22], 'representative': 662, 'size': 2}
  • id: 112168420
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 310, 'group_counter': 31, 'group_order': 1088, 'label': '272A-27', 'order': 272, 'powers': [246, 21], 'representative': 458, 'size': 2}
  • id: 112168421
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 311, 'group_counter': 31, 'group_order': 1088, 'label': '272A29', 'order': 272, 'powers': [247, 20], 'representative': 242, 'size': 2}
  • id: 112168422
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 312, 'group_counter': 31, 'group_order': 1088, 'label': '272A-29', 'order': 272, 'powers': [248, 19], 'representative': 326, 'size': 2}
  • id: 112168423
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 313, 'group_counter': 31, 'group_order': 1088, 'label': '272A31', 'order': 272, 'powers': [249, 18], 'representative': 358, 'size': 2}
  • id: 112168424
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 314, 'group_counter': 31, 'group_order': 1088, 'label': '272A-31', 'order': 272, 'powers': [250, 17], 'representative': 194, 'size': 2}
  • id: 112168425
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 315, 'group_counter': 31, 'group_order': 1088, 'label': '272A33', 'order': 272, 'powers': [251, 17], 'representative': 1026, 'size': 2}
  • id: 112168426
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 316, 'group_counter': 31, 'group_order': 1088, 'label': '272A-33', 'order': 272, 'powers': [252, 18], 'representative': 614, 'size': 2}
  • id: 112168427
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 317, 'group_counter': 31, 'group_order': 1088, 'label': '272A35', 'order': 272, 'powers': [252, 19], 'representative': 70, 'size': 2}
  • id: 112168428
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 318, 'group_counter': 31, 'group_order': 1088, 'label': '272A-35', 'order': 272, 'powers': [251, 20], 'representative': 498, 'size': 2}
  • id: 112168429
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 319, 'group_counter': 31, 'group_order': 1088, 'label': '272A37', 'order': 272, 'powers': [250, 21], 'representative': 202, 'size': 2}
  • id: 112168431
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 320, 'group_counter': 31, 'group_order': 1088, 'label': '272A-37', 'order': 272, 'powers': [249, 22], 'representative': 918, 'size': 2}
  • id: 112168432
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 321, 'group_counter': 31, 'group_order': 1088, 'label': '272A39', 'order': 272, 'powers': [248, 23], 'representative': 334, 'size': 2}
  • id: 112168433
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 322, 'group_counter': 31, 'group_order': 1088, 'label': '272A-39', 'order': 272, 'powers': [247, 24], 'representative': 786, 'size': 2}
  • id: 112168434
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 323, 'group_counter': 31, 'group_order': 1088, 'label': '272A41', 'order': 272, 'powers': [246, 24], 'representative': 466, 'size': 2}
  • id: 112168435
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 324, 'group_counter': 31, 'group_order': 1088, 'label': '272A-41', 'order': 272, 'powers': [245, 23], 'representative': 654, 'size': 2}
  • id: 112168436
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 325, 'group_counter': 31, 'group_order': 1088, 'label': '272A43', 'order': 272, 'powers': [244, 22], 'representative': 598, 'size': 2}
  • id: 112168437
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 326, 'group_counter': 31, 'group_order': 1088, 'label': '272A-43', 'order': 272, 'powers': [243, 21], 'representative': 522, 'size': 2}
  • id: 112168438
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 327, 'group_counter': 31, 'group_order': 1088, 'label': '272A45', 'order': 272, 'powers': [242, 20], 'representative': 178, 'size': 2}
  • id: 112168439
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 328, 'group_counter': 31, 'group_order': 1088, 'label': '272A-45', 'order': 272, 'powers': [241, 19], 'representative': 390, 'size': 2}
  • id: 112168440
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 329, 'group_counter': 31, 'group_order': 1088, 'label': '272A47', 'order': 272, 'powers': [240, 18], 'representative': 294, 'size': 2}
  • id: 112168442
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 330, 'group_counter': 31, 'group_order': 1088, 'label': '272A-47', 'order': 272, 'powers': [239, 17], 'representative': 258, 'size': 2}
  • id: 112168443
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 331, 'group_counter': 31, 'group_order': 1088, 'label': '272A49', 'order': 272, 'powers': [238, 17], 'representative': 962, 'size': 2}
  • id: 112168444
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 332, 'group_counter': 31, 'group_order': 1088, 'label': '272A-49', 'order': 272, 'powers': [237, 18], 'representative': 678, 'size': 2}
  • id: 112168445
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 333, 'group_counter': 31, 'group_order': 1088, 'label': '272A53', 'order': 272, 'powers': [236, 21], 'representative': 138, 'size': 2}
  • id: 112168446
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 334, 'group_counter': 31, 'group_order': 1088, 'label': '272A-53', 'order': 272, 'powers': [235, 22], 'representative': 982, 'size': 2}
  • id: 112168447
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 335, 'group_counter': 31, 'group_order': 1088, 'label': '272A55', 'order': 272, 'powers': [234, 23], 'representative': 270, 'size': 2}
  • id: 112168448
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 336, 'group_counter': 31, 'group_order': 1088, 'label': '272A-55', 'order': 272, 'powers': [233, 24], 'representative': 850, 'size': 2}
  • id: 112168449
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 337, 'group_counter': 31, 'group_order': 1088, 'label': '272A57', 'order': 272, 'powers': [232, 24], 'representative': 402, 'size': 2}
  • id: 112168450
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 338, 'group_counter': 31, 'group_order': 1088, 'label': '272A-57', 'order': 272, 'powers': [231, 23], 'representative': 718, 'size': 2}
  • id: 112168451
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 339, 'group_counter': 31, 'group_order': 1088, 'label': '272A59', 'order': 272, 'powers': [230, 22], 'representative': 534, 'size': 2}
  • id: 112168453
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 340, 'group_counter': 31, 'group_order': 1088, 'label': '272A-59', 'order': 272, 'powers': [229, 21], 'representative': 34, 'size': 2}
  • id: 112168454
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 341, 'group_counter': 31, 'group_order': 1088, 'label': '272A61', 'order': 272, 'powers': [228, 20], 'representative': 114, 'size': 2}
  • id: 112168455
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 342, 'group_counter': 31, 'group_order': 1088, 'label': '272A-61', 'order': 272, 'powers': [227, 19], 'representative': 454, 'size': 2}
  • id: 112168456
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 343, 'group_counter': 31, 'group_order': 1088, 'label': '272A63', 'order': 272, 'powers': [226, 18], 'representative': 230, 'size': 2}
  • id: 112168457
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 344, 'group_counter': 31, 'group_order': 1088, 'label': '272A-63', 'order': 272, 'powers': [225, 17], 'representative': 322, 'size': 2}
  • id: 112168458
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 345, 'group_counter': 31, 'group_order': 1088, 'label': '272A65', 'order': 272, 'powers': [224, 17], 'representative': 898, 'size': 2}
  • id: 112168459
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 346, 'group_counter': 31, 'group_order': 1088, 'label': '272A-65', 'order': 272, 'powers': [223, 18], 'representative': 742, 'size': 2}
  • id: 112168460
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 347, 'group_counter': 31, 'group_order': 1088, 'label': '272A67', 'order': 272, 'powers': [222, 19], 'representative': 1030, 'size': 2}
  • id: 112168461
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 348, 'group_counter': 31, 'group_order': 1088, 'label': '272A-67', 'order': 272, 'powers': [221, 20], 'representative': 90, 'size': 2}
  • id: 112168462
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 349, 'group_counter': 31, 'group_order': 1088, 'label': '272A69', 'order': 272, 'powers': [221, 21], 'representative': 74, 'size': 2}
  • id: 112168464
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 350, 'group_counter': 31, 'group_order': 1088, 'label': '272A-69', 'order': 272, 'powers': [222, 22], 'representative': 1046, 'size': 2}
  • id: 112168465
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 351, 'group_counter': 31, 'group_order': 1088, 'label': '272A71', 'order': 272, 'powers': [223, 23], 'representative': 206, 'size': 2}
  • id: 112168466
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 352, 'group_counter': 31, 'group_order': 1088, 'label': '272A-71', 'order': 272, 'powers': [224, 24], 'representative': 914, 'size': 2}
  • id: 112168467
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 353, 'group_counter': 31, 'group_order': 1088, 'label': '272A73', 'order': 272, 'powers': [225, 24], 'representative': 338, 'size': 2}
  • id: 112168468
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 354, 'group_counter': 31, 'group_order': 1088, 'label': '272A-73', 'order': 272, 'powers': [226, 23], 'representative': 782, 'size': 2}
  • id: 112168469
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 355, 'group_counter': 31, 'group_order': 1088, 'label': '272A75', 'order': 272, 'powers': [227, 22], 'representative': 470, 'size': 2}
  • id: 112168470
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 356, 'group_counter': 31, 'group_order': 1088, 'label': '272A-75', 'order': 272, 'powers': [228, 21], 'representative': 98, 'size': 2}
  • id: 112168471
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 357, 'group_counter': 31, 'group_order': 1088, 'label': '272A77', 'order': 272, 'powers': [229, 20], 'representative': 50, 'size': 2}
  • id: 112168472
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 358, 'group_counter': 31, 'group_order': 1088, 'label': '272A-77', 'order': 272, 'powers': [230, 19], 'representative': 518, 'size': 2}
  • id: 112168473
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 359, 'group_counter': 31, 'group_order': 1088, 'label': '272A79', 'order': 272, 'powers': [231, 18], 'representative': 166, 'size': 2}
  • id: 112168475
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 360, 'group_counter': 31, 'group_order': 1088, 'label': '272A-79', 'order': 272, 'powers': [232, 17], 'representative': 386, 'size': 2}
  • id: 112168476
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 361, 'group_counter': 31, 'group_order': 1088, 'label': '272A81', 'order': 272, 'powers': [233, 17], 'representative': 834, 'size': 2}
  • id: 112168477
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 362, 'group_counter': 31, 'group_order': 1088, 'label': '272A-81', 'order': 272, 'powers': [234, 18], 'representative': 806, 'size': 2}
  • id: 112168478
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 363, 'group_counter': 31, 'group_order': 1088, 'label': '272A83', 'order': 272, 'powers': [235, 19], 'representative': 966, 'size': 2}
  • id: 112168479
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 364, 'group_counter': 31, 'group_order': 1088, 'label': '272A-83', 'order': 272, 'powers': [236, 20], 'representative': 154, 'size': 2}
  • id: 112168480
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 365, 'group_counter': 31, 'group_order': 1088, 'label': '272A87', 'order': 272, 'powers': [237, 23], 'representative': 142, 'size': 2}
  • id: 112168481
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 366, 'group_counter': 31, 'group_order': 1088, 'label': '272A-87', 'order': 272, 'powers': [238, 24], 'representative': 978, 'size': 2}
  • id: 112168482
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 367, 'group_counter': 31, 'group_order': 1088, 'label': '272A89', 'order': 272, 'powers': [239, 24], 'representative': 274, 'size': 2}
  • id: 112168483
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 368, 'group_counter': 31, 'group_order': 1088, 'label': '272A-89', 'order': 272, 'powers': [240, 23], 'representative': 846, 'size': 2}
  • id: 112168484
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 369, 'group_counter': 31, 'group_order': 1088, 'label': '272A91', 'order': 272, 'powers': [241, 22], 'representative': 406, 'size': 2}
  • id: 112168486
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 370, 'group_counter': 31, 'group_order': 1088, 'label': '272A-91', 'order': 272, 'powers': [242, 21], 'representative': 162, 'size': 2}
  • id: 112168487
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 371, 'group_counter': 31, 'group_order': 1088, 'label': '272A93', 'order': 272, 'powers': [243, 20], 'representative': 538, 'size': 2}
  • id: 112168488
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 372, 'group_counter': 31, 'group_order': 1088, 'label': '272A-93', 'order': 272, 'powers': [244, 19], 'representative': 582, 'size': 2}
  • id: 112168489
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 373, 'group_counter': 31, 'group_order': 1088, 'label': '272A95', 'order': 272, 'powers': [245, 18], 'representative': 102, 'size': 2}
  • id: 112168490
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 374, 'group_counter': 31, 'group_order': 1088, 'label': '272A-95', 'order': 272, 'powers': [246, 17], 'representative': 450, 'size': 2}
  • id: 112168491
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 375, 'group_counter': 31, 'group_order': 1088, 'label': '272A97', 'order': 272, 'powers': [247, 17], 'representative': 770, 'size': 2}
  • id: 112168492
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 376, 'group_counter': 31, 'group_order': 1088, 'label': '272A-97', 'order': 272, 'powers': [248, 18], 'representative': 870, 'size': 2}
  • id: 112168493
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 377, 'group_counter': 31, 'group_order': 1088, 'label': '272A99', 'order': 272, 'powers': [249, 19], 'representative': 902, 'size': 2}
  • id: 112168494
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 378, 'group_counter': 31, 'group_order': 1088, 'label': '272A-99', 'order': 272, 'powers': [250, 20], 'representative': 218, 'size': 2}
  • id: 112168495
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 379, 'group_counter': 31, 'group_order': 1088, 'label': '272A101', 'order': 272, 'powers': [251, 21], 'representative': 482, 'size': 2}
  • id: 112168497
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 380, 'group_counter': 31, 'group_order': 1088, 'label': '272A-101', 'order': 272, 'powers': [252, 22], 'representative': 86, 'size': 2}
  • id: 112168498
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 381, 'group_counter': 31, 'group_order': 1088, 'label': '272A103', 'order': 272, 'powers': [252, 23], 'representative': 78, 'size': 2}
  • id: 112168499
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 382, 'group_counter': 31, 'group_order': 1088, 'label': '272A-103', 'order': 272, 'powers': [251, 24], 'representative': 1042, 'size': 2}
  • id: 112168500
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 383, 'group_counter': 31, 'group_order': 1088, 'label': '272A105', 'order': 272, 'powers': [250, 24], 'representative': 210, 'size': 2}
  • id: 112168501
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 384, 'group_counter': 31, 'group_order': 1088, 'label': '272A-105', 'order': 272, 'powers': [249, 23], 'representative': 910, 'size': 2}
  • id: 112168502
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 385, 'group_counter': 31, 'group_order': 1088, 'label': '272A107', 'order': 272, 'powers': [248, 22], 'representative': 342, 'size': 2}
  • id: 112168503
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 386, 'group_counter': 31, 'group_order': 1088, 'label': '272A-107', 'order': 272, 'powers': [247, 21], 'representative': 226, 'size': 2}
  • id: 112168504
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 387, 'group_counter': 31, 'group_order': 1088, 'label': '272A109', 'order': 272, 'powers': [246, 20], 'representative': 474, 'size': 2}
  • id: 112168505
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 388, 'group_counter': 31, 'group_order': 1088, 'label': '272A-109', 'order': 272, 'powers': [245, 19], 'representative': 646, 'size': 2}
  • id: 112168506
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 389, 'group_counter': 31, 'group_order': 1088, 'label': '272A111', 'order': 272, 'powers': [244, 18], 'representative': 38, 'size': 2}
  • id: 112168508
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 390, 'group_counter': 31, 'group_order': 1088, 'label': '272A-111', 'order': 272, 'powers': [243, 17], 'representative': 514, 'size': 2}
  • id: 112168509
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 391, 'group_counter': 31, 'group_order': 1088, 'label': '272A113', 'order': 272, 'powers': [242, 17], 'representative': 706, 'size': 2}
  • id: 112168510
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 392, 'group_counter': 31, 'group_order': 1088, 'label': '272A-113', 'order': 272, 'powers': [241, 18], 'representative': 934, 'size': 2}
  • id: 112168511
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 393, 'group_counter': 31, 'group_order': 1088, 'label': '272A115', 'order': 272, 'powers': [240, 19], 'representative': 838, 'size': 2}
  • id: 112168512
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 394, 'group_counter': 31, 'group_order': 1088, 'label': '272A-115', 'order': 272, 'powers': [239, 20], 'representative': 282, 'size': 2}
  • id: 112168513
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 395, 'group_counter': 31, 'group_order': 1088, 'label': '272A117', 'order': 272, 'powers': [238, 21], 'representative': 418, 'size': 2}
  • id: 112168514
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 396, 'group_counter': 31, 'group_order': 1088, 'label': '272A-117', 'order': 272, 'powers': [237, 22], 'representative': 150, 'size': 2}
  • id: 112168515
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 397, 'group_counter': 31, 'group_order': 1088, 'label': '272A121', 'order': 272, 'powers': [236, 24], 'representative': 146, 'size': 2}
  • id: 112168516
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 398, 'group_counter': 31, 'group_order': 1088, 'label': '272A-121', 'order': 272, 'powers': [235, 23], 'representative': 974, 'size': 2}
  • id: 112168517
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 399, 'group_counter': 31, 'group_order': 1088, 'label': '272A123', 'order': 272, 'powers': [234, 22], 'representative': 278, 'size': 2}
  • id: 112168520
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 400, 'group_counter': 31, 'group_order': 1088, 'label': '272A-123', 'order': 272, 'powers': [233, 21], 'representative': 290, 'size': 2}
  • id: 112168521
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 401, 'group_counter': 31, 'group_order': 1088, 'label': '272A125', 'order': 272, 'powers': [232, 20], 'representative': 410, 'size': 2}
  • id: 112168522
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 402, 'group_counter': 31, 'group_order': 1088, 'label': '272A-125', 'order': 272, 'powers': [231, 19], 'representative': 710, 'size': 2}
  • id: 112168523
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 403, 'group_counter': 31, 'group_order': 1088, 'label': '272A127', 'order': 272, 'powers': [230, 18], 'representative': 1062, 'size': 2}
  • id: 112168524
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 404, 'group_counter': 31, 'group_order': 1088, 'label': '272A-127', 'order': 272, 'powers': [229, 17], 'representative': 578, 'size': 2}
  • id: 112168525
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 405, 'group_counter': 31, 'group_order': 1088, 'label': '272A129', 'order': 272, 'powers': [228, 17], 'representative': 642, 'size': 2}
  • id: 112168526
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 406, 'group_counter': 31, 'group_order': 1088, 'label': '272A-129', 'order': 272, 'powers': [227, 18], 'representative': 998, 'size': 2}
  • id: 112168527
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 407, 'group_counter': 31, 'group_order': 1088, 'label': '272A131', 'order': 272, 'powers': [226, 19], 'representative': 774, 'size': 2}
  • id: 112168528
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 408, 'group_counter': 31, 'group_order': 1088, 'label': '272A-131', 'order': 272, 'powers': [225, 20], 'representative': 346, 'size': 2}
  • id: 112168529
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 409, 'group_counter': 31, 'group_order': 1088, 'label': '272A133', 'order': 272, 'powers': [224, 21], 'representative': 354, 'size': 2}
  • id: 112168531
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 410, 'group_counter': 31, 'group_order': 1088, 'label': '272A-133', 'order': 272, 'powers': [223, 22], 'representative': 214, 'size': 2}
  • id: 112168532
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 411, 'group_counter': 31, 'group_order': 1088, 'label': '272A135', 'order': 272, 'powers': [222, 23], 'representative': 1038, 'size': 2}
  • id: 112168533
    {'aut_label': '272A1', 'centralizer': '2.b1.a1', 'counter': 412, 'group_counter': 31, 'group_order': 1088, 'label': '272A-135', 'order': 272, 'powers': [221, 24], 'representative': 82, 'size': 2}
  • id: 112168534
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 413, 'group_counter': 31, 'group_order': 1088, 'label': '272B1', 'order': 272, 'powers': [157, 25], 'representative': 67, 'size': 4}
  • id: 112168535
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 414, 'group_counter': 31, 'group_order': 1088, 'label': '272B-1', 'order': 272, 'powers': [158, 26], 'representative': 487, 'size': 4}
  • id: 112168536
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 415, 'group_counter': 31, 'group_order': 1088, 'label': '272B3', 'order': 272, 'powers': [159, 27], 'representative': 199, 'size': 4}
  • id: 112168537
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 416, 'group_counter': 31, 'group_order': 1088, 'label': '272B-3', 'order': 272, 'powers': [160, 28], 'representative': 355, 'size': 4}
  • id: 112168538
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 417, 'group_counter': 31, 'group_order': 1088, 'label': '272B5', 'order': 272, 'powers': [161, 28], 'representative': 331, 'size': 4}
  • id: 112168539
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 418, 'group_counter': 31, 'group_order': 1088, 'label': '272B-5', 'order': 272, 'powers': [162, 27], 'representative': 775, 'size': 4}
  • id: 112168540
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 419, 'group_counter': 31, 'group_order': 1088, 'label': '272B7', 'order': 272, 'powers': [163, 26], 'representative': 463, 'size': 4}
  • id: 112168542
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 420, 'group_counter': 31, 'group_order': 1088, 'label': '272B-7', 'order': 272, 'powers': [164, 25], 'representative': 643, 'size': 4}
  • id: 112168543
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 421, 'group_counter': 31, 'group_order': 1088, 'label': '272B9', 'order': 272, 'powers': [165, 25], 'representative': 579, 'size': 4}
  • id: 112168544
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 422, 'group_counter': 31, 'group_order': 1088, 'label': '272B-9', 'order': 272, 'powers': [166, 26], 'representative': 527, 'size': 4}
  • id: 112168545
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 423, 'group_counter': 31, 'group_order': 1088, 'label': '272B11', 'order': 272, 'powers': [167, 27], 'representative': 711, 'size': 4}
  • id: 112168546
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 424, 'group_counter': 31, 'group_order': 1088, 'label': '272B-11', 'order': 272, 'powers': [168, 28], 'representative': 395, 'size': 4}
  • id: 112168547
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 425, 'group_counter': 31, 'group_order': 1088, 'label': '272B13', 'order': 272, 'powers': [169, 28], 'representative': 291, 'size': 4}
  • id: 112168548
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 426, 'group_counter': 31, 'group_order': 1088, 'label': '272B-13', 'order': 272, 'powers': [170, 27], 'representative': 263, 'size': 4}
  • id: 112168549
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 427, 'group_counter': 31, 'group_order': 1088, 'label': '272B15', 'order': 272, 'powers': [171, 26], 'representative': 423, 'size': 4}
  • id: 112168550
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 428, 'group_counter': 31, 'group_order': 1088, 'label': '272B-15', 'order': 272, 'powers': [172, 25], 'representative': 131, 'size': 4}
  • id: 112168551
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 429, 'group_counter': 31, 'group_order': 1088, 'label': '272B19', 'order': 272, 'powers': [173, 27], 'representative': 135, 'size': 4}
  • id: 112168553
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 430, 'group_counter': 31, 'group_order': 1088, 'label': '272B-19', 'order': 272, 'powers': [174, 28], 'representative': 419, 'size': 4}
  • id: 112168554
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 431, 'group_counter': 31, 'group_order': 1088, 'label': '272B21', 'order': 272, 'powers': [175, 28], 'representative': 267, 'size': 4}
  • id: 112168555
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 432, 'group_counter': 31, 'group_order': 1088, 'label': '272B-21', 'order': 272, 'powers': [176, 27], 'representative': 839, 'size': 4}
  • id: 112168556
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 433, 'group_counter': 31, 'group_order': 1088, 'label': '272B23', 'order': 272, 'powers': [177, 26], 'representative': 399, 'size': 4}
  • id: 112168557
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 434, 'group_counter': 31, 'group_order': 1088, 'label': '272B-23', 'order': 272, 'powers': [178, 25], 'representative': 707, 'size': 4}
  • id: 112168558
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 435, 'group_counter': 31, 'group_order': 1088, 'label': '272B25', 'order': 272, 'powers': [179, 25], 'representative': 515, 'size': 4}
  • id: 112168559
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 436, 'group_counter': 31, 'group_order': 1088, 'label': '272B-25', 'order': 272, 'powers': [180, 26], 'representative': 39, 'size': 4}
  • id: 112168560
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 437, 'group_counter': 31, 'group_order': 1088, 'label': '272B27', 'order': 272, 'powers': [181, 27], 'representative': 647, 'size': 4}
  • id: 112168561
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 438, 'group_counter': 31, 'group_order': 1088, 'label': '272B-27', 'order': 272, 'powers': [182, 28], 'representative': 459, 'size': 4}
  • id: 112168562
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 439, 'group_counter': 31, 'group_order': 1088, 'label': '272B29', 'order': 272, 'powers': [183, 28], 'representative': 227, 'size': 4}
  • id: 112168564
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 440, 'group_counter': 31, 'group_order': 1088, 'label': '272B-29', 'order': 272, 'powers': [184, 27], 'representative': 327, 'size': 4}
  • id: 112168565
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 441, 'group_counter': 31, 'group_order': 1088, 'label': '272B31', 'order': 272, 'powers': [185, 26], 'representative': 359, 'size': 4}
  • id: 112168566
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 442, 'group_counter': 31, 'group_order': 1088, 'label': '272B-31', 'order': 272, 'powers': [186, 25], 'representative': 195, 'size': 4}
  • id: 112168567
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 443, 'group_counter': 31, 'group_order': 1088, 'label': '272B33', 'order': 272, 'powers': [187, 25], 'representative': 1027, 'size': 4}
  • id: 112168568
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 444, 'group_counter': 31, 'group_order': 1088, 'label': '272B-33', 'order': 272, 'powers': [188, 26], 'representative': 79, 'size': 4}
  • id: 112168569
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 445, 'group_counter': 31, 'group_order': 1088, 'label': '272B35', 'order': 272, 'powers': [189, 27], 'representative': 71, 'size': 4}
  • id: 112168570
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 446, 'group_counter': 31, 'group_order': 1088, 'label': '272B-35', 'order': 272, 'powers': [190, 28], 'representative': 483, 'size': 4}
  • id: 112168571
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 447, 'group_counter': 31, 'group_order': 1088, 'label': '272B37', 'order': 272, 'powers': [191, 28], 'representative': 203, 'size': 4}
  • id: 112168572
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 448, 'group_counter': 31, 'group_order': 1088, 'label': '272B-37', 'order': 272, 'powers': [192, 27], 'representative': 903, 'size': 4}
  • id: 112168573
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 449, 'group_counter': 31, 'group_order': 1088, 'label': '272B39', 'order': 272, 'powers': [193, 26], 'representative': 335, 'size': 4}
  • id: 112168575
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 450, 'group_counter': 31, 'group_order': 1088, 'label': '272B-39', 'order': 272, 'powers': [194, 25], 'representative': 771, 'size': 4}
  • id: 112168576
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 451, 'group_counter': 31, 'group_order': 1088, 'label': '272B41', 'order': 272, 'powers': [195, 25], 'representative': 451, 'size': 4}
  • id: 112168577
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 452, 'group_counter': 31, 'group_order': 1088, 'label': '272B-41', 'order': 272, 'powers': [196, 26], 'representative': 103, 'size': 4}
  • id: 112168578
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 453, 'group_counter': 31, 'group_order': 1088, 'label': '272B43', 'order': 272, 'powers': [197, 27], 'representative': 583, 'size': 4}
  • id: 112168579
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 454, 'group_counter': 31, 'group_order': 1088, 'label': '272B-43', 'order': 272, 'powers': [198, 28], 'representative': 523, 'size': 4}
  • id: 112168580
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 455, 'group_counter': 31, 'group_order': 1088, 'label': '272B45', 'order': 272, 'powers': [199, 28], 'representative': 163, 'size': 4}
  • id: 112168581
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 456, 'group_counter': 31, 'group_order': 1088, 'label': '272B-45', 'order': 272, 'powers': [200, 27], 'representative': 391, 'size': 4}
  • id: 112168582
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 457, 'group_counter': 31, 'group_order': 1088, 'label': '272B47', 'order': 272, 'powers': [201, 26], 'representative': 295, 'size': 4}
  • id: 112168583
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 458, 'group_counter': 31, 'group_order': 1088, 'label': '272B-47', 'order': 272, 'powers': [202, 25], 'representative': 259, 'size': 4}
  • id: 112168584
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 459, 'group_counter': 31, 'group_order': 1088, 'label': '272B49', 'order': 272, 'powers': [203, 25], 'representative': 963, 'size': 4}
  • id: 112168586
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 460, 'group_counter': 31, 'group_order': 1088, 'label': '272B-49', 'order': 272, 'powers': [204, 26], 'representative': 143, 'size': 4}
  • id: 112168587
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 461, 'group_counter': 31, 'group_order': 1088, 'label': '272B53', 'order': 272, 'powers': [205, 28], 'representative': 139, 'size': 4}
  • id: 112168588
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 462, 'group_counter': 31, 'group_order': 1088, 'label': '272B-53', 'order': 272, 'powers': [206, 27], 'representative': 967, 'size': 4}
  • id: 112168589
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 463, 'group_counter': 31, 'group_order': 1088, 'label': '272B55', 'order': 272, 'powers': [207, 26], 'representative': 271, 'size': 4}
  • id: 112168590
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 464, 'group_counter': 31, 'group_order': 1088, 'label': '272B-55', 'order': 272, 'powers': [208, 25], 'representative': 835, 'size': 4}
  • id: 112168591
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 465, 'group_counter': 31, 'group_order': 1088, 'label': '272B57', 'order': 272, 'powers': [209, 25], 'representative': 387, 'size': 4}
  • id: 112168592
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 466, 'group_counter': 31, 'group_order': 1088, 'label': '272B-57', 'order': 272, 'powers': [210, 26], 'representative': 167, 'size': 4}
  • id: 112168593
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 467, 'group_counter': 31, 'group_order': 1088, 'label': '272B59', 'order': 272, 'powers': [211, 27], 'representative': 519, 'size': 4}
  • id: 112168594
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 468, 'group_counter': 31, 'group_order': 1088, 'label': '272B-59', 'order': 272, 'powers': [212, 28], 'representative': 35, 'size': 4}
  • id: 112168595
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 469, 'group_counter': 31, 'group_order': 1088, 'label': '272B61', 'order': 272, 'powers': [213, 28], 'representative': 99, 'size': 4}
  • id: 112168597
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 470, 'group_counter': 31, 'group_order': 1088, 'label': '272B-61', 'order': 272, 'powers': [214, 27], 'representative': 455, 'size': 4}
  • id: 112168598
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 471, 'group_counter': 31, 'group_order': 1088, 'label': '272B63', 'order': 272, 'powers': [215, 26], 'representative': 231, 'size': 4}
  • id: 112168599
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 472, 'group_counter': 31, 'group_order': 1088, 'label': '272B-63', 'order': 272, 'powers': [216, 25], 'representative': 323, 'size': 4}
  • id: 112168600
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 473, 'group_counter': 31, 'group_order': 1088, 'label': '272B65', 'order': 272, 'powers': [217, 25], 'representative': 899, 'size': 4}
  • id: 112168601
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 474, 'group_counter': 31, 'group_order': 1088, 'label': '272B-65', 'order': 272, 'powers': [218, 26], 'representative': 207, 'size': 4}
  • id: 112168602
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 475, 'group_counter': 31, 'group_order': 1088, 'label': '272B67', 'order': 272, 'powers': [219, 27], 'representative': 1031, 'size': 4}
  • id: 112168603
    {'aut_label': '272B1', 'centralizer': '4.f1.a1', 'counter': 476, 'group_counter': 31, 'group_order': 1088, 'label': '272B-67', 'order': 272, 'powers': [220, 28], 'representative': 75, 'size': 4}
• gps_qchar •

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

  
  
  • id: 5046467
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5046478
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5046484
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5046485
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5046486
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046487
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046475
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046476
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, 2, 2, -2, 0, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046488
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1g', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046489
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046477
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2c', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, 4, 4, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046490
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  • id: 5046468
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1j', 'multiplicity': 16, 'nt': [34, 1], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, 16, 16, -16, 16, 16, 16, 16, 16, 16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, 16, 16, 16, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5046469
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1k', 'multiplicity': 16, 'nt': [34, 1], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, 16, 16, -16, 16, 16, 16, 16, 16, 16, -16, -16, 16, 16, 16, 16, 16, 16, 16, 16, -16, -16, -16, -16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5046470
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1l', 'multiplicity': 16, 'nt': [34, 1], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5046479
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2d', 'multiplicity': 8, 'nt': [32, 271], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046471
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1m', 'multiplicity': 32, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, 32, -32, 32, 32, 32, -32, -32, -32, -32, -32, -32, -32, 32, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046472
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1n', 'multiplicity': 32, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, 32, 32, 32, 32, 32, 32, -32, -32, -32, -32, -32, -32, -32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046480
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2e', 'multiplicity': 16, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, 32, 32, -32, 0, -32, -32, -32, -32, 32, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046481
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2f', 'multiplicity': 16, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, 32, 32, -32, 0, 32, 32, 32, 32, -32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046473
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1o', 'multiplicity': 64, 'nt': [136, 0], 'qdim': 64, 'qvalues': [64, 64, -64, -64, -64, -64, 64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046474
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.1p', 'multiplicity': 64, 'nt': [136, 0], 'qdim': 64, 'qvalues': [64, 64, -64, 64, -64, -64, 64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046482
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2g', 'multiplicity': 32, 'nt': [136, 0], 'qdim': 64, 'qvalues': [64, 64, 64, 0, -64, -64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5046483
    {'cdim': 2, 'counter': 24, 'faithful': True, 'group': '1088.31', 'group_order': 1088, 'image': None, 'label': '1088.31.2h', 'multiplicity': 128, 'nt': [544, 0], 'qdim': 256, 'qvalues': [256, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 8808727
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1088, 'label': '1088.31.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 8808838
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 544, 'label': '1088.31.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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  • id: 8809192
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  • id: 8808739
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  • id: 8808750
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  • id: 8808761
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  • id: 8808772
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  • id: 8808783
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  • id: 8808794
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  • id: 8808805
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  • id: 8808905
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  • id: 8808916
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  • id: 8808927
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  • id: 8808938
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  • id: 8808950
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  • id: 8808961
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  • id: 8808972
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  • id: 8808816
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  • id: 8808827
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  • id: 8808839
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  • id: 8808850
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  • id: 8808861
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  • id: 8808872
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  • id: 8808883
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  • id: 8808894
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  • id: 8808983
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  • id: 8809083
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  • id: 8809094
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  • id: 8809105
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  • id: 8809116
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  • id: 8809127
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  • id: 8809138
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  • id: 8809146
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  • id: 8808994
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  • id: 8809005
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  • id: 8809016
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  • id: 8809027
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  • id: 8809038
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  • id: 8809049
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  • id: 8809061
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  • id: 8809072
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  • id: 8809147
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  • id: 8809157
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  • id: 8809158
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  • id: 8809160
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  • id: 8809161
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  • id: 8809162
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  • id: 8809163
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  • id: 8809164
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  • id: 8809149
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 50, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.b1.a1', 'kernel_order': 32, 'label': '1088.31.1k2', 'nt': [34, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 7]], [[1, 6]], [[1, 5]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -8]], [[1, -7]], [[1, -6]], [[1, -5]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -6]], [[1, 3]], [[1, -5]], [[1, 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  • id: 8809150
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  • id: 8809151
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  • id: 8809152
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  • id: 8809153
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  • id: 8809154
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  • id: 8809155
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  • id: 8809156
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  • id: 8809165
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  • id: 8809175
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  • id: 8809176
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  • id: 8809177
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  • id: 8809178
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  • id: 8809179
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  • id: 8809180
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  • id: 8809182
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  • id: 8809166
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  • id: 8809167
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  • id: 8809169
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  • id: 8809171
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  • id: 8809172
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  • id: 8809173
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  • id: 8809174
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  • id: 8809183
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 81, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m1', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 22]], [[-1, 26]], [[-1, 30]], [[1, 32]], [[1, 28]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[-1, 26]], [[1, 24]], [[-1, 22]], [[1, 20]], [[1, 28]], [[1, 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  • id: 8809193
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  • id: 8809194
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  • id: 8809195
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  • id: 8809196
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  • id: 8809197
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  • id: 8809198
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  • id: 8809199
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 96, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m16', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 14]], [[1, 8]], [[-1, 2]], [[-1, 30]], [[1, 24]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 20]], [[-1, 26]], [[1, 32]], [[1, 4]], [[-1, 10]], [[1, 16]], [[-1, 22]], [[1, 28]], [[-1, 2]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[1, 12]], [[1, 32]], [[-1, 18]], [[1, 4]], [[-1, 26]], [[-1, 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  • id: 8809200
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 97, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m17', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 18]], [[1, 20]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[1, 28]], [[-1, 30]], [[1, 32]], [[1, 16]], [[-1, 14]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 22]], [[1, 24]], [[1, 32]], [[-1, 26]], [[-1, 30]], [[1, 12]], [[1, 28]], [[-1, 10]], [[-1, 14]], [[1, 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  • id: 8809201
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  • id: 8809202
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  • id: 8809184
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  • id: 8808729
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 100, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m20', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 18]], [[1, 20]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[1, 28]], [[-1, 30]], [[1, 32]], [[1, 16]], [[-1, 14]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 22]], [[1, 24]], [[1, 32]], [[-1, 26]], [[-1, 30]], [[1, 12]], [[1, 28]], [[-1, 10]], [[-1, 14]], [[1, 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  • id: 8808730
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 101, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m21', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 22]], [[1, 32]], [[1, 8]], [[-1, 18]], [[1, 28]], [[1, 4]], [[-1, 14]], [[1, 24]], [[1, 12]], [[-1, 2]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[-1, 30]], [[1, 20]], [[-1, 10]], [[1, 8]], [[-1, 18]], [[1, 24]], [[1, 28]], [[-1, 14]], [[-1, 26]], [[1, 4]], [[1, 16]], [[-1, 2]], [[-1, 6]], 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  • id: 8808731
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  • id: 8808732
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  • id: 8808733
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  • id: 8808734
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 105, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m25', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 26]], [[-1, 10]], [[1, 28]], [[1, 12]], [[-1, 30]], [[-1, 14]], [[1, 32]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 6]], [[-1, 22]], [[1, 4]], [[1, 20]], [[-1, 2]], [[-1, 18]], [[1, 28]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 32]], [[-1, 6]], [[-1, 14]], [[-1, 22]], [[1, 24]], [[1, 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  • id: 8808735
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 106, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m26', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 8]], [[1, 24]], [[-1, 6]], [[-1, 22]], [[1, 4]], [[1, 20]], [[-1, 2]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[1, 28]], [[1, 12]], [[-1, 30]], [[-1, 14]], [[1, 32]], [[1, 16]], [[-1, 6]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[-1, 2]], [[1, 28]], [[1, 20]], [[1, 12]], [[-1, 10]], [[-1, 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  • id: 8808736
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  • id: 8808737
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  • id: 8808738
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  • id: 8809185
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 83, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m3', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 32]], [[1, 28]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 22]], [[-1, 26]], [[-1, 30]], [[1, 24]], [[1, 20]], [[1, 4]], [[1, 16]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 14]], [[-1, 6]], [[-1, 18]], 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  • id: 8808740
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 110, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.c1.a1', 'kernel_order': 16, 'label': '1088.31.1m30', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 4]], [[1, 12]], [[1, 20]], [[1, 28]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[-1, 26]], [[-1, 30]], [[-1, 22]], [[-1, 14]], [[-1, 6]], [[1, 32]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 20]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 18]], [[-1, 14]], [[-1, 10]], [[-1, 6]], [[-1, 22]], [[1, 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  • id: 8808741
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  • id: 8808742
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  • id: 8809186
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  • id: 8809187
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  • id: 8809188
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  • id: 8809189
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  • id: 8809190
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  • id: 8809191
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  • id: 8808743
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  • id: 8808753
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  • id: 8808754
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  • id: 8808755
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  • id: 8808756
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  • id: 8808757
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  • id: 8808758
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  • id: 8808759
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  • id: 8808760
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  • id: 8808762
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  • id: 8808763
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 131, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n19', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 16]], [[-1, 14]], [[1, 12]], [[-1, 10]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 18]], [[1, 20]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[1, 28]], [[-1, 30]], [[1, 32]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 22]], [[-1, 6]], [[1, 24]], [[1, 20]], [[-1, 26]], 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  • id: 8808744
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 114, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n2', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 32]], [[1, 28]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 12]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 22]], [[-1, 26]], [[-1, 30]], [[1, 24]], [[1, 20]], [[1, 4]], [[1, 16]], [[1, 8]], [[-1, 10]], [[1, 12]], [[-1, 14]], [[-1, 6]], [[-1, 18]], 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  • id: 8808764
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  • id: 8808765
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  • id: 8808766
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  • id: 8808767
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 135, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n23', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 12]], [[-1, 2]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[-1, 30]], [[1, 20]], [[-1, 10]], [[-1, 22]], [[1, 32]], [[1, 8]], [[-1, 18]], [[1, 28]], [[1, 4]], [[-1, 14]], [[1, 24]], [[-1, 26]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[1, 20]], [[1, 8]], [[-1, 30]], [[-1, 18]], [[1, 32]], [[1, 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  • id: 8808768
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 136, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n24', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 22]], [[1, 32]], [[1, 8]], [[-1, 18]], [[1, 28]], [[1, 4]], [[-1, 14]], [[1, 24]], [[1, 12]], [[-1, 2]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[-1, 30]], [[1, 20]], [[-1, 10]], [[1, 8]], [[-1, 18]], [[1, 24]], [[1, 28]], [[-1, 14]], [[-1, 26]], [[1, 4]], [[1, 16]], [[-1, 2]], [[-1, 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  • id: 8808769
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  • id: 8808770
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  • id: 8808771
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  • id: 8808773
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 140, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n28', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 26]], [[-1, 10]], [[1, 28]], [[1, 12]], [[-1, 30]], [[-1, 14]], [[1, 32]], [[1, 16]], [[1, 8]], [[1, 24]], [[-1, 6]], [[-1, 22]], [[1, 4]], [[1, 20]], [[-1, 2]], [[-1, 18]], [[1, 28]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 32]], [[-1, 6]], [[-1, 14]], [[-1, 22]], [[1, 24]], [[1, 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  • id: 8808774
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 141, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 16, 'label': '1088.31.1n29', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 30]], [[-1, 22]], [[-1, 14]], [[-1, 6]], [[1, 32]], [[1, 24]], [[1, 16]], [[1, 8]], [[1, 4]], [[1, 12]], [[1, 20]], [[1, 28]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[-1, 26]], [[-1, 14]], [[-1, 6]], [[1, 8]], [[1, 32]], [[1, 16]], [[1, 20]], [[1, 24]], [[1, 28]], [[1, 12]], [[-1, 2]], 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  • id: 8808745
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  • id: 8808775
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  • id: 8808776
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  • id: 8808777
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  • id: 8808746
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  • id: 8808747
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  • id: 8808748
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  • id: 8808749
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  • id: 8808751
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  • id: 8808752
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  • id: 8808778
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  • id: 8808788
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  • id: 8808789
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  • id: 8808790
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  • id: 8808791
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  • id: 8808792
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  • id: 8808793
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  • id: 8808795
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  • id: 8808796
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  • id: 8808797
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  • id: 8808798
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  • id: 8808779
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  • id: 8808799
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  • id: 8808800
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  • id: 8808801
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  • id: 8808802
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  • id: 8808803
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  • id: 8808804
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  • id: 8808806
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  • id: 8808807
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  • id: 8808808
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  • id: 8808809
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  • id: 8808780
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  • id: 8808810
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  • id: 8808811
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 175, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o31', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 17]], [[1, 17]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-1, 17]], [[1, 51]], [[1, 8]], [[1, 24]], [[1, 40]], [[1, 56]], [[-1, 4]], [[-1, 20]], [[-1, 36]], [[-1, 52]], [[-1, 60]], [[-1, 44]], [[-1, 28]], [[-1, 12]], [[1, 64]], [[1, 48]], [[1, 32]], [[1, 16]], [[1, 40]], [[1, 56]], [[-1, 52]], [[-1, 4]], [[-1, 36]], [[-1, 28]], [[-1, 20]], [[-1, 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  • id: 8808812
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  • id: 8808813
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  • id: 8808814
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  • id: 8808815
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  • id: 8808817
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 180, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o36', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 28]], [[-1, 36]], [[-1, 44]], [[-1, 52]], [[-1, 60]], [[1, 64]], [[1, 56]], [[1, 48]], [[1, 40]], [[1, 32]], [[1, 24]], [[1, 16]], [[1, 8]], [[-1, 20]], [[-1, 28]], [[-1, 60]], [[-1, 36]], [[-1, 52]], [[1, 48]], [[-1, 44]], [[1, 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  • id: 8808818
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  • id: 8808819
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  • id: 8808820
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  • id: 8808781
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  • id: 8808821
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 184, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o40', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[-1, 12]], [[-1, 36]], [[-1, 60]], [[1, 16]], [[1, 40]], [[1, 64]], [[-1, 20]], [[-1, 44]], [[1, 56]], [[1, 32]], [[1, 8]], [[-1, 52]], [[-1, 28]], [[-1, 4]], [[1, 48]], [[1, 24]], [[-1, 60]], [[1, 16]], [[-1, 44]], [[1, 40]], [[-1, 20]], [[1, 8]], [[1, 64]], [[-1, 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  • id: 8808822
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  • id: 8808823
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  • id: 8808824
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  • id: 8808825
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  • id: 8808826
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 189, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o45', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 28]], [[1, 16]], [[-1, 4]], [[-1, 60]], [[1, 48]], [[-1, 36]], [[1, 24]], [[-1, 12]], [[1, 40]], [[-1, 52]], [[1, 64]], [[1, 8]], [[-1, 20]], [[1, 32]], [[-1, 44]], [[1, 56]], [[-1, 4]], [[-1, 60]], [[-1, 12]], [[1, 48]], [[1, 24]], [[1, 64]], [[-1, 36]], [[1, 8]], 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  • id: 8808828
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  • id: 8808829
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  • id: 8808830
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  • id: 8808831
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 193, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o49', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 36]], [[1, 40]], [[-1, 44]], [[1, 48]], [[-1, 52]], [[1, 56]], [[-1, 60]], [[1, 64]], [[1, 32]], [[-1, 28]], [[1, 24]], [[-1, 20]], [[1, 16]], [[-1, 12]], [[1, 8]], [[-1, 4]], [[-1, 44]], [[1, 48]], [[1, 64]], [[-1, 52]], [[-1, 60]], [[1, 24]], [[1, 56]], [[-1, 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  • id: 8808782
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 149, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o5', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 17]], [[1, 17]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-1, 17]], [[1, 51]], [[-1, 12]], [[-1, 36]], [[-1, 60]], [[1, 16]], [[1, 40]], [[1, 64]], [[-1, 20]], [[-1, 44]], [[1, 56]], [[1, 32]], [[1, 8]], [[-1, 52]], [[-1, 28]], [[-1, 4]], [[1, 48]], [[1, 24]], [[-1, 60]], [[1, 16]], [[-1, 44]], [[1, 40]], [[-1, 20]], [[1, 8]], [[1, 64]], [[-1, 52]], 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  • id: 8808832
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  • id: 8808833
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  • id: 8808834
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  • id: 8808835
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  • id: 8808836
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 198, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o54', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 24]], [[-1, 4]], [[-1, 52]], [[1, 32]], [[-1, 12]], [[-1, 60]], [[1, 40]], [[-1, 20]], [[-1, 44]], [[1, 64]], [[1, 16]], [[-1, 36]], [[1, 56]], [[1, 8]], [[-1, 28]], [[1, 48]], [[-1, 52]], [[1, 32]], [[-1, 20]], [[-1, 12]], [[1, 40]], [[1, 16]], [[-1, 60]], [[-1, 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  • id: 8808837
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  • id: 8808840
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  • id: 8808841
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  • id: 8808842
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  • id: 8808843
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 203, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.e1.a1', 'kernel_order': 8, 'label': '1088.31.1o59', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[1, 17]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[1, 51]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[1, 16]], [[1, 48]], [[-1, 12]], [[-1, 44]], [[1, 8]], [[1, 40]], [[-1, 4]], [[-1, 36]], [[-1, 52]], [[-1, 20]], [[1, 56]], [[1, 24]], [[-1, 60]], [[-1, 28]], [[1, 64]], [[1, 32]], [[-1, 12]], [[-1, 44]], [[-1, 36]], [[1, 8]], [[-1, 4]], [[1, 56]], [[1, 40]], [[1, 24]], 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  • id: 8808784
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  • id: 8808844
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  • id: 8808845
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  • id: 8808846
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  • id: 8808847
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  • id: 8808848
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  • id: 8808785
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  • id: 8808786
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  • id: 8808787
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  • id: 8808849
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  • id: 8808859
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  • id: 8808860
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  • id: 8808862
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  • id: 8808863
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 221, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 8, 'label': '1088.31.1p13', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 17]], [[1, 17]], [[1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 28]], [[1, 16]], [[-1, 4]], [[-1, 60]], [[1, 48]], [[-1, 36]], [[1, 24]], [[-1, 12]], [[1, 40]], [[-1, 52]], [[1, 64]], [[1, 8]], [[-1, 20]], [[1, 32]], [[-1, 44]], [[1, 56]], [[-1, 4]], [[-1, 60]], [[-1, 12]], [[1, 48]], [[1, 24]], [[1, 64]], [[-1, 36]], [[1, 8]], 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  • id: 8808864
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 222, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 8, 'label': '1088.31.1p14', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 40]], [[-1, 52]], [[1, 64]], [[1, 8]], [[-1, 20]], [[1, 32]], [[-1, 44]], [[1, 56]], [[-1, 28]], [[1, 16]], [[-1, 4]], [[-1, 60]], [[1, 48]], [[-1, 36]], [[1, 24]], [[-1, 12]], [[1, 64]], [[1, 8]], [[1, 56]], [[-1, 20]], [[-1, 44]], [[-1, 4]], [[1, 32]], [[-1, 60]], 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  • id: 8808865
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  • id: 8808866
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  • id: 8808867
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  • id: 8808868
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  • id: 8808869
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  • id: 8808851
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  • id: 8808870
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  • id: 8808871
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  • id: 8808873
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  • id: 8808874
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  • id: 8808875
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  • id: 8808876
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  • id: 8808877
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  • id: 8808878
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  • id: 8808879
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1088, 'counter': 236, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1088.31', 'group_counter': 31, 'group_order': 1088, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 8, 'label': '1088.31.1p28', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[-1, 52]], [[-1, 20]], [[1, 56]], [[1, 24]], [[-1, 60]], [[-1, 28]], [[1, 64]], [[1, 32]], [[1, 16]], [[1, 48]], [[-1, 12]], [[-1, 44]], [[1, 8]], [[1, 40]], [[-1, 4]], [[-1, 36]], [[1, 56]], [[1, 24]], [[1, 32]], [[-1, 60]], [[1, 64]], [[-1, 12]], [[-1, 28]], [[-1, 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  • id: 8808880
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  • id: 8808852
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  • id: 8808881
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  • id: 8808882
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  • id: 8808884
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  • id: 8808885
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  • id: 8808886
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  • id: 8808887
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  • id: 8808888
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  • id: 8808889
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  • id: 8808890
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  • id: 8808891
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  • id: 8808853
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  • id: 8808892
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  • id: 8808893
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  • id: 8808895
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  • id: 8808896
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  • id: 8808897
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  • id: 8808898
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  • id: 8808899
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  • id: 8808900
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  • id: 8808901
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  • id: 8808902
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  • id: 8808854
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  • id: 8808903
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  • id: 8808904
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  • id: 8808906
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  • id: 8808907
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  • id: 8808908
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  • id: 8808909
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  • id: 8808910
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  • id: 8808911
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  • id: 8808912
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  • id: 8808913
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  • id: 8808855
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  • id: 8808914
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  • id: 8808915
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  • id: 8808917
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  • id: 8808918
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  • id: 8808919
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  • id: 8808856
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  • id: 8808857
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  • id: 8808858
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  • id: 8808925
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  • id: 8808926
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  • id: 8808928
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  • id: 8808930
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  • id: 8808931
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  • id: 8808932
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  • id: 8808933
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  • id: 8808951
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  • id: 8808970
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  • id: 8808991
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  • id: 8809000
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  • id: 8808971
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  • id: 8809001
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  • id: 8809002
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  • id: 8809004
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  • id: 8809014
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  • id: 8809114
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  • id: 8809115
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  • id: 8809118
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  • id: 8809119
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  • id: 8809121
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  • id: 8809122
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  • id: 8809124
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  • id: 8809015
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  • id: 8809126
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  • id: 8809128
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  • id: 8809130
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  • id: 8809131
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  • id: 8809133
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  • id: 8809134
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  • id: 8809017
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  • id: 8809136
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  • id: 8809139
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  • id: 8809140
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  • id: 8809142
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  • id: 8809143
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  • id: 8809145
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  • id: 8809018
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  • id: 8809020
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  • id: 8809021
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  • id: 8809023
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  • id: 8809024
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  • id: 8809025
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  • id: 8809026
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  • id: 8809029
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  • id: 8809030
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  • id: 8809032
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  • id: 8809033
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  • id: 8809035
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  • id: 8809007
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  • id: 8809037
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  • id: 8809039
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  • id: 8809041
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  • id: 8809042
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  • id: 8809044
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  • id: 8809045
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  • id: 8809008
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  • id: 8809047
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  • id: 8809050
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  • id: 8809051
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  • id: 8809053
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  • id: 8809054
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  • id: 8809056
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  • id: 8809057
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  • id: 8809058
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  • id: 8809059
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  • id: 8809063
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  • id: 8809064
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  • id: 8809066
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  • id: 8809067
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  • id: 8809069
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  • id: 8809010
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  • id: 8809071
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  • id: 8809073
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  • id: 8809075
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  • id: 8809076
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  • id: 8809078
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  • id: 8809079
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  • id: 8809011
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  • id: 8809081
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  • id: 8809084
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  • id: 8809085
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  • id: 8809087
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  • id: 8809088
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  • id: 8809090
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  • id: 8809091
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  • id: 8809092
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  • id: 8809093
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  • id: 8809096
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  • id: 8809097
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  • id: 8809099
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  • id: 8809100
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  • id: 8809102
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  • id: 8809013
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  • id: 8809104
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  • id: 8809106
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  • id: 8809108
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  • id: 8809109
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  • id: 8809111
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  • id: 8809112
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[1, 113]], [[-1, 47], [1, 115]], [[-1, 53], [1, 121]], [[-1, 45], [1, 113]], [[-1, 59], [1, 127]], [[-1, 9], [1, 77]], [[1, 43], [-1, 111]], [[1, 19], [-1, 87]], [[1, 15], [-1, 83]], [[-1, 59], [-1, 127]], [[-1, 3], [-1, 71]], [[-1, 23], [-1, 91]], [[-1, 31], [-1, 99]], [[1, 21], [1, 89]], [[1, 13], [1, 81]], [[1, 23], [1, 91]], [[1, 15], [1, 83]], [[1, 3], [-1, 11], [1, 19], [-1, 27], [1, 35], [-1, 43], [1, 51], [-1, 59], [1, 63], [1, 67], [-1, 75], [1, 83], [-1, 91], [1, 99], [-1, 107], [1, 115], [-1, 123]], [[-1, 7], [1, 15], [-1, 23], [1, 31], [-1, 39], [1, 47], [-1, 55], [1, 63], [1, 67], [-1, 71], [1, 79], [-1, 87], [1, 95], [-1, 103], [1, 111], [-1, 119], [1, 127]], [[-1, 23], [1, 91]], [[-1, 27], [1, 95]], [[-1, 7], [1, 15], [-1, 23], [1, 31], [-1, 39], [1, 47], [-1, 55], [1, 63], [-1, 67], [-1, 71], [1, 79], [-1, 87], [1, 95], [-1, 103], [1, 111], [-1, 119], [1, 127]], [[-1, 25], [1, 93]], [[-1, 33], [1, 101]], [[1, 53], [-1, 121]], [[1, 1], [-1, 9], [1, 17], [-1, 25], [1, 33], [-1, 41], [1, 49], [-1, 57], [1, 61], [1, 65], [-1, 73], [1, 81], [-1, 89], [1, 97], [-1, 105], [1, 113], [-1, 121]], [[1, 55], [-1, 123]], [[-1, 43], [-1, 111]], [[-1, 49], [-1, 117]], [[-1, 41], [-1, 109]], [[-1, 57], [1, 125]], [[1, 35], [-1, 103]], [[1, 31], [-1, 99]], [[1, 7], [-1, 75]], [[-1, 55], [1, 123]], [[-1, 7], [-1, 75]], [[-1, 15], [-1, 83]], [[-1, 5], [-1, 73]], [[-1, 13], [-1, 81]], [[1, 33], [1, 101]], [[1, 41], [1, 109]], [[1, 35], [1, 103]], [[-1, 3], [1, 11], [-1, 19], [1, 27], [-1, 35], [1, 43], [-1, 51], [1, 59], [-1, 63], [-1, 67], [1, 75], [-1, 83], [1, 91], [-1, 99], [1, 107], [-1, 115], [1, 123]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 69806916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 1088, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 34, 'label': '1088.31.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1088.31', 'subgroup_hash': 31, 'subgroup_order': 1088, 'subgroup_tex': '\\OD_{32}:C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 544, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '544.193', 'subgroup_hash': 193, 'subgroup_order': 544, 'subgroup_tex': '\\OD_{16}:C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806938
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 544, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '544.59', 'subgroup_hash': 59, 'subgroup_order': 544, 'subgroup_tex': 'C_2\\times C_{272}', 'supersolvable': True, 'sylow': 0}
  • id: 69806949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 544, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '544.60', 'subgroup_hash': 60, 'subgroup_order': 544, 'subgroup_tex': 'C_{17}\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 69806960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 272, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '272.49', 'subgroup_hash': 49, 'subgroup_order': 272, 'subgroup_tex': 'D_4:C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 272, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69806969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 272, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69806970
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 136, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69806971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 136, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69806917
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 136, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '272.2', 'subgroup_hash': 2, 'subgroup_order': 272, 'subgroup_tex': 'C_{272}', 'supersolvable': True, 'sylow': 0}
  • id: 69806918
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': False, 'core_order': 136, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '272.2', 'subgroup_hash': 2, 'subgroup_order': 272, 'subgroup_tex': 'C_{272}', 'supersolvable': True, 'sylow': 0}
  • id: 69806919
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 136, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69806920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 136, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.10', 'subgroup_hash': 10, 'subgroup_order': 136, 'subgroup_tex': 'D_4\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69806921
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 136, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69806922
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 136, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69806923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 136, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.11', 'subgroup_hash': 11, 'subgroup_order': 136, 'subgroup_tex': 'Q_8\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69806924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 68, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.10', 'subgroup_hash': 10, 'subgroup_order': 136, 'subgroup_tex': 'D_4\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 69806925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 68, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69806926
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 68, 'counter': 19, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 69806928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 68, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806929
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 68, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69806930
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 68, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69806931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 34, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806932
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 34, 'counter': 24, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 69806933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 64, 'counter': 25, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '1088.31.17.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '17.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '17.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 17, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.31', 'subgroup_hash': 31, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 69806934
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 34, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806935
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': False, 'core_order': 17, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806936
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 17, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 69806937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69806939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.34.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69806940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 32, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.34.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 69806941
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 17, 'counter': 32, 'cyclic': True, 'direct': True, 'hall': 17, 'label': '1088.31.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 69806942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 16, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.68.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69806943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 16, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.68.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 16, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.68.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69806945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 8, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.68.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 8, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.68.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69806947
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 8, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.68.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69806948
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': False, 'core_order': 8, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.68.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '68.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 68, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 69806950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 8, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.136.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 8, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.136.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{136}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806952
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 8, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.136.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806953
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 8, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.136.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 8, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.136.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{136}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': False, 'core_order': 4, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.136.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.136.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806957
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.136.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '136.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 136, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 69806958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1088.31.272.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 69806959
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 4, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.272.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806961
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': True, 'core_order': 4, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.272.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{136}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806962
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1088.31.272.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '272.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 272, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 69806963
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.272.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '272.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 272, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 69806964
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1088.31.544.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '544.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '544.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 544, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{136}', 'simple': True, 'solvable': True, 'special_labels': ['L2'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69806965
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 544, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.544.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '544.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69806966
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1088.31.544.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '544.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 69806967
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1088.31', 'ambient_counter': 31, 'ambient_order': 1088, 'ambient_tex': '\\OD_{32}:C_{34}', 'central': True, 'central_factor': False, 'centralizer_order': 1088, 'characteristic': True, 'core_order': 1, 'counter': 56, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1088.31.1088.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1088.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1088.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1088, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{32}:C_{34}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'L3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 69806921
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.b1.a1', '136.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3333, 7889, 7801, 8121, 7580, 2144, 7580, 2144], 'generators': [548, 64, 16, 8], 'label': '1088.31.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.b1.a1', '136.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806916
    {'ambient': '1088.31', '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': '8.c1.a1', 'complements': ['1088.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1445, 6787, 8484, 7990, 8174, 2890, 8174, 2890], 'generators': [4, 544, 8, 64, 2, 1, 16], 'label': '1088.31.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '17.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806917
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.837', 'aut_weyl_index': 8, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '68.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1638, -1, 9239, -1, 9284, -1, 9284, -1], 'generators': [24, 16, 572, 64, 3], 'label': '1088.31.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.f1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806918
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.837', 'aut_weyl_index': 8, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.d1.a1', '68.g1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [648, -1, 8178, -1, 7954, -1, 7954, -1], 'generators': [8, 16, 4, 64, 2], 'label': '1088.31.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.g1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806919
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '8.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '136.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6422, 4694, 4326, 1654, 4200, 5957, 4200, 5957], 'generators': [8, 544, 16, 64], 'label': '1088.31.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806920
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.899', 'aut_weyl_index': 8, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '136.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8629, 659, 1336, 3187, 1212, 9401, 1212, 9401], 'generators': [1, 568, 16, 64], 'label': '1088.31.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '136.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806922
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.b1.a1', '136.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2560, 7013, 7033, 6832, 7084, 4063, 7084, 4063], 'generators': [4, 64, 16, 8], 'label': '1088.31.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.b1.a1', '136.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '16.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806923
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.899', 'aut_weyl_index': 8, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.e1.a1', '136.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9562, 2482, 3401, 5075, 2051, 8056, 2051, 8056], 'generators': [545, 568, 16, 64], 'label': '1088.31.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '136.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806924
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '136.f1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7480, -1, 412, -1, 373, -1, 373, -1], 'generators': [1, 544, 16, 64], 'label': '1088.31.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69806925
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '136.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5274, -1, 2476, -1, 2890, -1, 2890, -1], 'generators': [1, 8, 16, 64], 'label': '1088.31.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806926
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 16, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '136.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4533, -1, 5279, -1, 4864, -1, 4864, -1], 'generators': [5, 64, 16, 24], 'label': '1088.31.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806927
    {'ambient': '1088.31', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.7529762', 'aut_weyl_index': 2, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3822, 4694, 6013, 4888, 5708, 5285, 5708, 5285], 'generators': [64, 8, 16, 544, 4, 1], 'label': '1088.31.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806928
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 32, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '272.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6405, 4991, 1331, 859, 1422, 6211, 1422, 6211], 'generators': [16, 544, 64], 'label': '1088.31.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '32.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806929
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '16.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '8.g1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '272.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4892, 6706, 5087, 6243, 4767, 4063, 4767, 4063], 'generators': [8, 64, 16], 'label': '1088.31.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '272.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806930
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '16.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 32, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '272.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8987, 2338, 3542, 2748, 3253, 7245, 3253, 7245], 'generators': [568, 64, 16], 'label': '1088.31.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.e1.a1'], 'normal_contains': ['32.a1.a1', '272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '32.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806931
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 32, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '272.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7554, -1, 412, -1, 588, -1, 588, -1], 'generators': [1, 16, 64], 'label': '1088.31.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806932
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 32, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '272.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8271, -1, 3046, -1, 2066, -1, 2066, -1], 'generators': [545, 64, 16], 'label': '1088.31.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '32.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806933
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 16, 'centralizer': '8.c1.a1', 'complements': ['64.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1'], 'core': '17.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [882, 6192, 9041, 9355, 8511, 2349, 8511, 2349], 'generators': [1, 2], 'label': '1088.31.17.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '17.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '136.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806934
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '544.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8310, 5334, 3198, 682, 2041, 6211, 2041, 6211], 'generators': [16, 64], 'label': '1088.31.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '32.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.5', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806935
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.1', 'aut_weyl_index': 64, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '544.b1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7093, -1, 1331, -1, 1591, -1, 1591, -1], 'generators': [544, 64], 'label': '1088.31.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.b1.a1', 'projective_image': '64.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806936
    {'ambient': '1088.31', 'aut_centralizer_order': 16, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.1', 'aut_weyl_index': 64, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.a1.a1', '544.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7809, -1, 412, -1, 1141, -1, 1141, -1], 'generators': [1, 64], 'label': '1088.31.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.c1.a1', 'projective_image': '64.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806937
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '34.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 32, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['68.a1.a1', '68.b1.a1', '68.c1.a1', '68.d1.a1', '68.e1.a1'], 'core': '34.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2463, 5190, 6143, 5635, 6486, 4678, 6486, 4678], 'generators': [1, 4, 544], 'label': '1088.31.34.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.a1.a1', 'normal_contained_in': ['2.a1.a1', '17.a1.a1'], 'normal_contains': ['68.a1.a1', '68.b1.a1', '68.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '136.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806938
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.26308', 'aut_weyl_index': 4, 'centralizer': '2.b1.a1', 'complements': ['544.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.g1.a1', '34.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [438, 9341, 8184, 7000, 7836, 3432, 7836, 3432], 'generators': [4, 8, 16, 64, 544, 2], 'label': '1088.31.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '34.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '8.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806939
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '34.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 64, 'centralizer': '2.b1.a1', 'complements': ['32.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '68.g1.a1'], 'core': '34.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [620, 9089, 8381, 8439, 8619, 2054, 8619, 2054], 'generators': [2, 544], 'label': '1088.31.34.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.b1.a1', 'normal_contained_in': ['2.b1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.b1.a1', 'projective_image': '136.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806940
    {'ambient': '1088.31', 'aut_centralizer_order': 32, 'aut_label': '34.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.48', 'aut_weyl_index': 32, 'centralizer': '8.c1.a1', 'complements': ['32.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '68.f1.a1'], 'core': '34.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1371, 7898, 9340, 9673, 9790, 972, 9790, 972], 'generators': [3, 544], 'label': '1088.31.34.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.c1.a1', 'normal_contained_in': ['2.c1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.c1.a1', 'projective_image': '136.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806941
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['1088.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8026, 6020, 1415, 327, 1632, 6211, 1632, 6211], 'generators': [64], 'label': '1088.31.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['1088.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '64.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.31', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806942
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 64, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.b1.a1', '136.e1.a1', '136.f1.a1', '136.g1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6559, 3493, 2662, 4233, 3545, 7007, 3545, 7007], 'generators': [1, 8, 544], 'label': '1088.31.68.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': ['4.a1.a1', '34.a1.a1'], 'normal_contains': ['136.a1.a1', '136.b1.a1', '136.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806943
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '68.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 128, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'contains': ['136.a1.a1', '136.c1.a1', '136.d1.a1'], 'core': '68.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1764, 8060, 7479, 7598, 8179, 3104, 8179, 3104], 'generators': [4, 544], 'label': '1088.31.68.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '68.b1.a1', 'normal_contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'normal_contains': ['136.a1.a1', '136.c1.a1', '136.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.b1.a1', 'projective_image': '136.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806944
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 64, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.h1.a1'], 'core': '68.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5143, 4702, 5053, 2982, 5371, 4875, 5371, 4875], 'generators': [5, 544], 'label': '1088.31.68.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '68.c1.a1', 'normal_contained_in': ['4.c1.a1', '34.a1.a1'], 'normal_contains': ['136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.c1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806945
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 128, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '34.a1.a1'], 'contains': ['136.c1.a1', '136.g1.a1', '136.h1.a1'], 'core': '136.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4039, -1, 5934, -1, 6486, -1, 6486, -1], 'generators': [1, 548], 'label': '1088.31.68.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '34.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '68.d1.a1', 'projective_image': '136.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806946
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 128, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '34.a1.a1'], 'contains': ['136.d1.a1', '136.g1.a1', '136.h1.a1'], 'core': '136.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3367, -1, 6599, -1, 5882, -1, 5882, -1], 'generators': [1, 4], 'label': '1088.31.68.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '34.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '68.e1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69806947
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 128, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '34.c1.a1'], 'contains': ['136.c1.a1'], 'core': '136.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2401, -1, 9340, -1, 9284, -1, 9284, -1], 'generators': [3], 'label': '1088.31.68.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '34.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '68.f1.a1', 'projective_image': '136.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806948
    {'ambient': '1088.31', 'aut_centralizer_order': 64, 'aut_label': '68.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 128, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '34.b1.a1'], 'contains': ['136.d1.a1'], 'core': '136.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [620, -1, 8110, -1, 8752, -1, 8752, -1], 'generators': [2], 'label': '1088.31.68.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '34.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '68.g1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806949
    {'ambient': '1088.31', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.7529845', 'aut_weyl_index': 2, 'centralizer': '8.c1.a1', 'complements': ['544.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.f1.a1', '34.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1855, 7437, 9588, 8972, 9386, 947, 9386, 947], 'generators': [572, 24, 16, 64, 544, 3], 'label': '1088.31.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '34.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '8.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806950
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '136.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '68.a1.a1', '68.b1.a1', '68.c1.a1'], 'contains': ['272.a1.a1', '272.b1.a1', '272.c1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6018, 4540, 4174, 2813, 5340, 4981, 5340, 4981], 'generators': [8, 544], 'label': '1088.31.136.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.a1.a1', 'normal_contained_in': ['8.a1.a1', '68.a1.a1', '68.b1.a1', '68.c1.a1'], 'normal_contains': ['272.a1.a1', '272.b1.a1', '272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.a1.a1', 'projective_image': '272.21', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.2', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806951
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '136.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 128, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '68.a1.a1'], 'contains': ['272.c1.a1', '272.d1.a1'], 'core': '136.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7930, 2843, 1771, 3785, 2844, 8491, 2844, 8491], 'generators': [1, 568], 'label': '1088.31.136.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.b1.a1', 'normal_contained_in': ['8.b1.a1', '68.a1.a1'], 'normal_contains': ['272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.b1.a1', 'projective_image': '544.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806952
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '136.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '68.b1.a1', '68.d1.a1', '68.f1.a1'], 'contains': ['272.b1.a1'], 'core': '136.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3071, 8079, 7479, 7617, 7580, 2817, 7580, 2817], 'generators': [548], 'label': '1088.31.136.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.c1.a1', 'normal_contained_in': ['8.c1.a1', '68.b1.a1'], 'normal_contains': ['272.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.c1.a1', 'projective_image': '136.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '136.10', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '136.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806953
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '136.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '68.b1.a1', '68.e1.a1', '68.g1.a1'], 'contains': ['272.b1.a1'], 'core': '136.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2663, 7429, 6988, 6944, 7084, 3407, 7084, 3407], 'generators': [4], 'label': '1088.31.136.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.d1.a1', 'normal_contained_in': ['8.d1.a1', '68.b1.a1'], 'normal_contains': ['272.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.d1.a1', 'projective_image': '272.21', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.5', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806954
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '136.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 128, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '68.a1.a1'], 'contains': ['272.c1.a1', '272.e1.a1'], 'core': '136.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8829, 3493, 2392, 4458, 3662, 7901, 3662, 7901], 'generators': [545, 568], 'label': '1088.31.136.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.e1.a1', 'normal_contained_in': ['8.e1.a1', '68.a1.a1'], 'normal_contains': ['272.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.e1.a1', 'projective_image': '544.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806955
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '136.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '68.a1.a1'], 'contains': ['272.a1.a1', '272.d1.a1', '272.e1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6832, -1, 1151, -1, 2476, -1, 2476, -1], 'generators': [1, 544], 'label': '1088.31.136.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '136.f1.a1', 'projective_image': '544.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 69806956
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '136.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '68.a1.a1', '68.d1.a1', '68.e1.a1'], 'contains': ['272.b1.a1', '272.d1.a1', '272.e1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5245, -1, 2978, -1, 4194, -1, 4194, -1], 'generators': [1, 8], 'label': '1088.31.136.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '136.g1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806957
    {'ambient': '1088.31', 'aut_centralizer_order': 128, 'aut_label': '136.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 256, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '68.c1.a1', '68.d1.a1', '68.e1.a1'], 'contains': ['272.b1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4437, -1, 5443, -1, 5872, -1, 5872, -1], 'generators': [5], 'label': '1088.31.136.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '136.h1.a1', 'projective_image': '272.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806958
    {'ambient': '1088.31', 'aut_centralizer_order': 512, 'aut_label': '272.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 512, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '136.a1.a1', '136.f1.a1'], 'contains': ['544.a1.a1', '544.b1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6803, 5325, 1212, 1701, 2895, 5514, 2895, 5514], 'generators': [16, 544], 'label': '1088.31.272.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.a1.a1', 'normal_contained_in': ['16.a1.a1', '136.a1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.a1.a1', 'projective_image': '544.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.2', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806959
    {'ambient': '1088.31', 'aut_centralizer_order': 512, 'aut_label': '272.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '136.a1.a1', '136.c1.a1', '136.d1.a1', '136.g1.a1', '136.h1.a1'], 'contains': ['544.a1.a1'], 'core': '272.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4750, 7085, 4665, 6430, 5340, 4063, 5340, 4063], 'generators': [8], 'label': '1088.31.272.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.b1.a1', 'normal_contained_in': ['16.b1.a1', '136.a1.a1', '136.c1.a1', '136.d1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.b1.a1', 'projective_image': '272.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '272.21', 'quotient_action_kernel_order': 272, 'quotient_fusion': None, 'short_label': '272.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806960
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 4, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '68.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7486, 2346, 2386, 4131, 2225, 8056, 2225, 8056], 'generators': [64, 16, 544, 8, 1], 'label': '1088.31.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1', '68.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806961
    {'ambient': '1088.31', 'aut_centralizer_order': 512, 'aut_label': '272.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 512, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '136.a1.a1', '136.b1.a1', '136.e1.a1'], 'contains': ['544.a1.a1'], 'core': '272.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8333, 3493, 3733, 2813, 3657, 7245, 3657, 7245], 'generators': [568], 'label': '1088.31.272.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '272.c1.a1', 'normal_contained_in': ['16.c1.a1', '136.a1.a1', '136.b1.a1', '136.e1.a1'], 'normal_contains': ['544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.c1.a1', 'projective_image': '544.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.2', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806962
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '272.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 512, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '136.b1.a1', '136.f1.a1', '136.g1.a1'], 'contains': ['544.a1.a1', '544.c1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7486, -1, 750, -1, 2476, -1, 2476, -1], 'generators': [1, 16], 'label': '1088.31.272.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '272.d1.a1', 'projective_image': '544.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806963
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '272.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 512, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '136.e1.a1', '136.f1.a1', '136.g1.a1'], 'contains': ['544.a1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7924, -1, 2239, -1, 3289, -1, 3289, -1], 'generators': [545], 'label': '1088.31.272.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '136.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '272.e1.a1', 'projective_image': '544.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806964
    {'ambient': '1088.31', 'aut_centralizer_order': 1024, 'aut_label': '544.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1024, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '272.a1.a1', '272.b1.a1', '272.c1.a1', '272.d1.a1', '272.e1.a1'], 'contains': ['1088.a1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7737, 6516, 2239, 1701, 2895, 5555, 2895, 5555], 'generators': [16], 'label': '1088.31.544.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '544.a1.a1', 'normal_contained_in': ['32.a1.a1', '272.a1.a1', '272.b1.a1', '272.c1.a1'], 'normal_contains': ['1088.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '544.a1.a1', 'projective_image': '544.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '544.48', 'quotient_action_kernel_order': 544, 'quotient_fusion': None, 'short_label': '544.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806965
    {'ambient': '1088.31', 'aut_centralizer_order': 512, 'aut_label': '544.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1024, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '272.a1.a1'], 'contains': ['1088.a1.a1'], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7144, -1, 1212, -1, 2486, -1, 2486, -1], 'generators': [544], 'label': '1088.31.544.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '272.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '544.b1.a1', 'projective_image': '1088.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '544.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806966
    {'ambient': '1088.31', 'aut_centralizer_order': 256, 'aut_label': '544.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1024, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '272.d1.a1'], 'contains': ['1088.a1.a1'], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8146, -1, 750, -1, 2118, -1, 2118, -1], 'generators': [1], 'label': '1088.31.544.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '544.c1.a1', 'projective_image': '1088.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '544.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806967
    {'ambient': '1088.31', 'aut_centralizer_order': None, 'aut_label': '1088.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '544.a1.a1', '544.b1.a1', '544.c1.a1'], 'contains': [], 'core': '1088.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7941, 6273, 1381, 1243, 2302, 5883, 2302, 5883], 'generators': [], 'label': '1088.31.1088.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1088.a1.a1', 'normal_contained_in': ['64.a1.a1', '544.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1088.a1.a1', 'projective_image': '1088.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1088.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 69806968
    {'ambient': '1088.31', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 8, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '68.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2406, 7437, 7417, 7000, 7263, 3432, 7263, 3432], 'generators': [8, 16, 64, 544, 4], 'label': '1088.31.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '8.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806969
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 4, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '68.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6223, 4694, 3632, 1654, 3355, 6236, 3355, 6236], 'generators': [24, 16, 64, 544, 5], 'label': '1088.31.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '68.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 69806970
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 8, 'centralizer': '4.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.h1.a1', '68.d1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5023, -1, 4823, -1, 5708, -1, 5708, -1], 'generators': [8, 16, 64, 548, 1], 'label': '1088.31.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 69806971
    {'ambient': '1088.31', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 8, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.g1.a1', '8.h1.a1', '68.e1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3822, -1, 6013, -1, 4629, -1, 4629, -1], 'generators': [8, 16, 64, 4, 1], 'label': '1088.31.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}