Abstract group data - 432.719

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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': '24.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [12, 6, 12, 8, 4, 12], 'aut_gens': [[1, 2, 12, 72], [217, 386, 133, 240], [1, 275, 228, 96], [217, 195, 373, 264], [217, 323, 180, 96], [217, 339, 228, 408], [217, 347, 373, 360]], 'aut_group': None, 'aut_hash': 5225108593483848910, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 27648, 'aut_permdeg': 42, 'aut_perms': [993816775979140958257104080996649976576209602836876, 753382246458308059643688375844169911894824884992871, 535190661431395914952637925516842043232969255520873, 616936734912972883550151151408823783619258774519308, 803466207157415817981922767487295101432361842335449, 872798954346723971216078028197000420498317024995937], 'aut_phi_ratio': 192.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 18, 2, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [4, 18, 2, 1], [6, 1, 2, 1], [6, 1, 4, 1], [6, 2, 4, 2], [6, 2, 8, 2], [6, 2, 16, 2], [6, 2, 32, 1], [6, 18, 4, 1], [12, 18, 4, 1]], 'aut_supersolvable': False, 'aut_tex': '\\ASL(2,3).C_2^5.C_2^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '64.202', 'autcent_hash': 202, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3:D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 18, 2], [3, 1, 2], [3, 2, 12], [4, 18, 2], [6, 1, 6], [6, 2, 88], [6, 18, 4], [12, 18, 4]], 'center_label': '12.5', 'center_order': 12, 'central_product': True, 'central_quotient': '36.13', 'commutator_count': 1, 'commutator_label': '18.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 719, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['72.35', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 18, 1, 2], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [4, 18, 1, 2], [6, 1, 2, 3], [6, 2, 1, 12], [6, 2, 2, 38], [6, 18, 2, 2], [12, 18, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 546, 'exponent': 12, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '216.175', 'hash': 719, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 2, 6, 3], 'inner_gens': [[1, 2, 12, 72], [1, 2, 276, 360], [1, 242, 12, 72], [1, 146, 12, 72]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': False, 'inner_tex': 'C_6:S_3', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 24], [2, 102]], 'label': '432.719', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6^3:C2', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 22, 'number_conjugacy_classes': 126, 'number_divisions': 76, 'number_normal_subgroups': 118, 'number_subgroup_autclasses': 112, 'number_subgroup_classes': 452, 'number_subgroups': 1284, 'old_label': None, 'order': 432, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 43], [3, 26], [4, 36], [6, 254], [12, 72]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [12, 6, 12, 8, 2, 4], 'outer_gen_pows': [0, 0, 0, 0, 36, 168], 'outer_gens': [[217, 386, 133, 240], [1, 275, 228, 96], [217, 195, 373, 264], [217, 323, 180, 96], [217, 339, 228, 408], [217, 347, 373, 360]], 'outer_group': '768.1090168', 'outer_hash': 1090168, 'outer_nilpotent': False, 'outer_order': 768, 'outer_permdeg': 64, 'outer_perms': [2175016486893399550426011876022295497518575887123813479061093602943718604333988673427626, 4190184966597217849295318044220984208090245318854275447710537472454569733920242199177142, 6078824515160750894272225261874902875019322330117982970504760827481687247183463372392935, 8187862050241500278480822130178994126579669439743875875623609379701575242014279319098558, 10013553277685705564630338065390278852796280166485596414759013470126485500168786389418311, 12185597377675722719996523949008934609445264150036320502894039572975028588143807580315019], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': '\\GL(2,3).C_2^4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 26], [4, 42]], 'representations': {'PC': {'code': 112186939391670638368265493, 'gens': [1, 2, 4, 6], 'pres': [7, -2, -2, -3, -2, -3, -2, -3, 36, 3874, 80, 851, 7572, 124, 7069]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [58415896521659895, 91793130888317377, 24992888769126456]}, 'GLZN': {'d': 2, 'p': 21, 'gens': [66353, 9409, 9265, 120406, 74096, 37048, 137788]}, 'Perm': {'d': 15, 'gens': [6227061864, 39916800, 264, 3, 1680, 93405715200, 174356582400]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6^3:C_2', 'transitive_degree': 72, '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: 105224237
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 719, 'group_order': 432, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 105224275
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 719, 'group_order': 432, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1, 'size': 1}
  • id: 105224286
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 719, 'group_order': 432, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 217, 'size': 1}
  • id: 105224297
    {'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 719, 'group_order': 432, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 216, 'size': 1}
  • id: 105224308
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 719, 'group_order': 432, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 36, 'size': 2}
  • id: 105224319
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 719, 'group_order': 432, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 37, 'size': 2}
  • id: 105224330
    {'aut_label': '2F', 'centralizer': '18.d1', 'counter': 7, 'group_counter': 719, 'group_order': 432, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 6, 'size': 18}
  • id: 105224341
    {'aut_label': '2F', 'centralizer': '18.d1', 'counter': 8, 'group_counter': 719, 'group_order': 432, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 7, 'size': 18}
  • id: 105224352
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 719, 'group_order': 432, 'label': '3A1', 'order': 3, 'powers': [10, 1], 'representative': 8, 'size': 1}
  • id: 105224238
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 719, 'group_order': 432, 'label': '3A-1', 'order': 3, 'powers': [9, 1], 'representative': 4, 'size': 1}
  • id: 105224249
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 719, 'group_order': 432, 'label': '3B', 'order': 3, 'powers': [11, 1], 'representative': 144, 'size': 2}
  • id: 105224260
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 12, 'group_counter': 719, 'group_order': 432, 'label': '3C', 'order': 3, 'powers': [12, 1], 'representative': 192, 'size': 2}
  • id: 105224268
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 13, 'group_counter': 719, 'group_order': 432, 'label': '3D', 'order': 3, 'powers': [13, 1], 'representative': 48, 'size': 2}
  • id: 105224269
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 14, 'group_counter': 719, 'group_order': 432, 'label': '3E', 'order': 3, 'powers': [14, 1], 'representative': 168, 'size': 2}
  • id: 105224270
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 15, 'group_counter': 719, 'group_order': 432, 'label': '3F1', 'order': 3, 'powers': [16, 1], 'representative': 152, 'size': 2}
  • id: 105224271
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 16, 'group_counter': 719, 'group_order': 432, 'label': '3F-1', 'order': 3, 'powers': [15, 1], 'representative': 292, 'size': 2}
  • id: 105224272
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 17, 'group_counter': 719, 'group_order': 432, 'label': '3G1', 'order': 3, 'powers': [18, 1], 'representative': 32, 'size': 2}
  • id: 105224273
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 18, 'group_counter': 719, 'group_order': 432, 'label': '3G-1', 'order': 3, 'powers': [17, 1], 'representative': 52, 'size': 2}
  • id: 105224274
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 19, 'group_counter': 719, 'group_order': 432, 'label': '3H1', 'order': 3, 'powers': [20, 1], 'representative': 200, 'size': 2}
  • id: 105224276
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 20, 'group_counter': 719, 'group_order': 432, 'label': '3H-1', 'order': 3, 'powers': [19, 1], 'representative': 316, 'size': 2}
  • id: 105224277
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 719, 'group_order': 432, 'label': '3I1', 'order': 3, 'powers': [22, 1], 'representative': 176, 'size': 2}
  • id: 105224278
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 719, 'group_order': 432, 'label': '3I-1', 'order': 3, 'powers': [21, 1], 'representative': 340, 'size': 2}
  • id: 105224279
    {'aut_label': '4A', 'centralizer': '18.f1', 'counter': 23, 'group_counter': 719, 'group_order': 432, 'label': '4A', 'order': 4, 'powers': [4, 23], 'representative': 234, 'size': 18}
  • id: 105224280
    {'aut_label': '4A', 'centralizer': '18.f1', 'counter': 24, 'group_counter': 719, 'group_order': 432, 'label': '4B', 'order': 4, 'powers': [4, 24], 'representative': 235, 'size': 18}
  • id: 105224281
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 719, 'group_order': 432, 'label': '6A1', 'order': 6, 'powers': [9, 2], 'representative': 5, 'size': 1}
  • id: 105224282
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 719, 'group_order': 432, 'label': '6A-1', 'order': 6, 'powers': [10, 2], 'representative': 9, 'size': 1}
  • id: 105224283
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 719, 'group_order': 432, 'label': '6B1', 'order': 6, 'powers': [9, 3], 'representative': 221, 'size': 1}
  • id: 105224284
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 719, 'group_order': 432, 'label': '6B-1', 'order': 6, 'powers': [10, 3], 'representative': 225, 'size': 1}
  • id: 105224285
    {'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 719, 'group_order': 432, 'label': '6C1', 'order': 6, 'powers': [9, 4], 'representative': 220, 'size': 1}
  • id: 105224287
    {'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 719, 'group_order': 432, 'label': '6C-1', 'order': 6, 'powers': [10, 4], 'representative': 224, 'size': 1}
  • id: 105224288
    {'aut_label': '6D', 'centralizer': '2.a1', 'counter': 31, 'group_counter': 719, 'group_order': 432, 'label': '6D', 'order': 6, 'powers': [11, 4], 'representative': 72, 'size': 2}
  • id: 105224289
    {'aut_label': '6D', 'centralizer': '2.a1', 'counter': 32, 'group_counter': 719, 'group_order': 432, 'label': '6E', 'order': 6, 'powers': [12, 4], 'representative': 96, 'size': 2}
  • id: 105224290
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 33, 'group_counter': 719, 'group_order': 432, 'label': '6F', 'order': 6, 'powers': [11, 2], 'representative': 145, 'size': 2}
  • id: 105224291
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 34, 'group_counter': 719, 'group_order': 432, 'label': '6G', 'order': 6, 'powers': [11, 3], 'representative': 73, 'size': 2}
  • id: 105224292
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 35, 'group_counter': 719, 'group_order': 432, 'label': '6H', 'order': 6, 'powers': [13, 2], 'representative': 25, 'size': 2}
  • id: 105224293
    {'aut_label': '6D', 'centralizer': '2.a1', 'counter': 36, 'group_counter': 719, 'group_order': 432, 'label': '6I', 'order': 6, 'powers': [14, 4], 'representative': 120, 'size': 2}
  • id: 105224294
    {'aut_label': '6D', 'centralizer': '2.a1', 'counter': 37, 'group_counter': 719, 'group_order': 432, 'label': '6J', 'order': 6, 'powers': [13, 4], 'representative': 240, 'size': 2}
  • id: 105224295
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 38, 'group_counter': 719, 'group_order': 432, 'label': '6K', 'order': 6, 'powers': [14, 2], 'representative': 169, 'size': 2}
  • id: 105224296
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 39, 'group_counter': 719, 'group_order': 432, 'label': '6L', 'order': 6, 'powers': [12, 3], 'representative': 97, 'size': 2}
  • id: 105224298
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 40, 'group_counter': 719, 'group_order': 432, 'label': '6M', 'order': 6, 'powers': [12, 2], 'representative': 313, 'size': 2}
  • id: 105224299
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 41, 'group_counter': 719, 'group_order': 432, 'label': '6N', 'order': 6, 'powers': [14, 3], 'representative': 121, 'size': 2}
  • id: 105224300
    {'aut_label': '6F', 'centralizer': '2.a1', 'counter': 42, 'group_counter': 719, 'group_order': 432, 'label': '6O', 'order': 6, 'powers': [13, 3], 'representative': 241, 'size': 2}
  • id: 105224301
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 43, 'group_counter': 719, 'group_order': 432, 'label': '6P1', 'order': 6, 'powers': [13, 5], 'representative': 12, 'size': 2}
  • id: 105224302
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 44, 'group_counter': 719, 'group_order': 432, 'label': '6P-1', 'order': 6, 'powers': [13, 5], 'representative': 60, 'size': 2}
  • id: 105224303
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 45, 'group_counter': 719, 'group_order': 432, 'label': '6Q1', 'order': 6, 'powers': [12, 5], 'representative': 156, 'size': 2}
  • id: 105224304
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 46, 'group_counter': 719, 'group_order': 432, 'label': '6Q-1', 'order': 6, 'powers': [12, 5], 'representative': 372, 'size': 2}
  • id: 105224305
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 47, 'group_counter': 719, 'group_order': 432, 'label': '6R1', 'order': 6, 'powers': [14, 5], 'representative': 84, 'size': 2}
  • id: 105224306
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 48, 'group_counter': 719, 'group_order': 432, 'label': '6R-1', 'order': 6, 'powers': [14, 5], 'representative': 300, 'size': 2}
  • id: 105224307
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 49, 'group_counter': 719, 'group_order': 432, 'label': '6S1', 'order': 6, 'powers': [15, 4], 'representative': 76, 'size': 2}
  • id: 105224309
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 50, 'group_counter': 719, 'group_order': 432, 'label': '6S-1', 'order': 6, 'powers': [16, 4], 'representative': 80, 'size': 2}
  • id: 105224310
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 51, 'group_counter': 719, 'group_order': 432, 'label': '6T1', 'order': 6, 'powers': [17, 5], 'representative': 16, 'size': 2}
  • id: 105224311
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 52, 'group_counter': 719, 'group_order': 432, 'label': '6T-1', 'order': 6, 'powers': [18, 5], 'representative': 68, 'size': 2}
  • id: 105224312
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 53, 'group_counter': 719, 'group_order': 432, 'label': '6U1', 'order': 6, 'powers': [13, 6], 'representative': 13, 'size': 2}
  • id: 105224313
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 54, 'group_counter': 719, 'group_order': 432, 'label': '6U-1', 'order': 6, 'powers': [13, 6], 'representative': 61, 'size': 2}
  • id: 105224314
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 55, 'group_counter': 719, 'group_order': 432, 'label': '6V1', 'order': 6, 'powers': [18, 5], 'representative': 20, 'size': 2}
  • id: 105224315
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 56, 'group_counter': 719, 'group_order': 432, 'label': '6V-1', 'order': 6, 'powers': [17, 5], 'representative': 64, 'size': 2}
  • id: 105224316
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 57, 'group_counter': 719, 'group_order': 432, 'label': '6W1', 'order': 6, 'powers': [11, 5], 'representative': 180, 'size': 2}
  • id: 105224317
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 58, 'group_counter': 719, 'group_order': 432, 'label': '6W-1', 'order': 6, 'powers': [11, 5], 'representative': 324, 'size': 2}
  • id: 105224318
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 59, 'group_counter': 719, 'group_order': 432, 'label': '6X1', 'order': 6, 'powers': [19, 4], 'representative': 100, 'size': 2}
  • id: 105224320
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 60, 'group_counter': 719, 'group_order': 432, 'label': '6X-1', 'order': 6, 'powers': [20, 4], 'representative': 104, 'size': 2}
  • id: 105224321
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 61, 'group_counter': 719, 'group_order': 432, 'label': '6Y1', 'order': 6, 'powers': [19, 5], 'representative': 160, 'size': 2}
  • id: 105224322
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 62, 'group_counter': 719, 'group_order': 432, 'label': '6Y-1', 'order': 6, 'powers': [20, 5], 'representative': 380, 'size': 2}
  • id: 105224323
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 63, 'group_counter': 719, 'group_order': 432, 'label': '6Z1', 'order': 6, 'powers': [21, 5], 'representative': 88, 'size': 2}
  • id: 105224324
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 64, 'group_counter': 719, 'group_order': 432, 'label': '6Z-1', 'order': 6, 'powers': [22, 5], 'representative': 308, 'size': 2}
  • id: 105224325
    {'aut_label': '6AA1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 719, 'group_order': 432, 'label': '6AA1', 'order': 6, 'powers': [9, 5], 'representative': 40, 'size': 2}
  • id: 105224326
    {'aut_label': '6AA1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 719, 'group_order': 432, 'label': '6AA-1', 'order': 6, 'powers': [10, 5], 'representative': 44, 'size': 2}
  • id: 105224327
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 719, 'group_order': 432, 'label': '6AB1', 'order': 6, 'powers': [12, 6], 'representative': 157, 'size': 2}
  • id: 105224328
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 719, 'group_order': 432, 'label': '6AB-1', 'order': 6, 'powers': [12, 6], 'representative': 373, 'size': 2}
  • id: 105224329
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 69, 'group_counter': 719, 'group_order': 432, 'label': '6AC1', 'order': 6, 'powers': [14, 6], 'representative': 85, 'size': 2}
  • id: 105224331
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 70, 'group_counter': 719, 'group_order': 432, 'label': '6AC-1', 'order': 6, 'powers': [14, 6], 'representative': 301, 'size': 2}
  • id: 105224332
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 71, 'group_counter': 719, 'group_order': 432, 'label': '6AD1', 'order': 6, 'powers': [15, 2], 'representative': 149, 'size': 2}
  • id: 105224333
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 72, 'group_counter': 719, 'group_order': 432, 'label': '6AD-1', 'order': 6, 'powers': [16, 2], 'representative': 153, 'size': 2}
  • id: 105224334
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 73, 'group_counter': 719, 'group_order': 432, 'label': '6AE1', 'order': 6, 'powers': [15, 3], 'representative': 77, 'size': 2}
  • id: 105224335
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 74, 'group_counter': 719, 'group_order': 432, 'label': '6AE-1', 'order': 6, 'powers': [16, 3], 'representative': 81, 'size': 2}
  • id: 105224336
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 75, 'group_counter': 719, 'group_order': 432, 'label': '6AF1', 'order': 6, 'powers': [17, 2], 'representative': 29, 'size': 2}
  • id: 105224337
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 76, 'group_counter': 719, 'group_order': 432, 'label': '6AF-1', 'order': 6, 'powers': [18, 2], 'representative': 33, 'size': 2}
  • id: 105224338
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 77, 'group_counter': 719, 'group_order': 432, 'label': '6AG1', 'order': 6, 'powers': [17, 6], 'representative': 17, 'size': 2}
  • id: 105224339
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 78, 'group_counter': 719, 'group_order': 432, 'label': '6AG-1', 'order': 6, 'powers': [18, 6], 'representative': 69, 'size': 2}
  • id: 105224340
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 79, 'group_counter': 719, 'group_order': 432, 'label': '6AH1', 'order': 6, 'powers': [21, 4], 'representative': 124, 'size': 2}
  • id: 105224342
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 80, 'group_counter': 719, 'group_order': 432, 'label': '6AH-1', 'order': 6, 'powers': [22, 4], 'representative': 128, 'size': 2}
  • id: 105224343
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 81, 'group_counter': 719, 'group_order': 432, 'label': '6AI1', 'order': 6, 'powers': [21, 5], 'representative': 304, 'size': 2}
  • id: 105224344
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 82, 'group_counter': 719, 'group_order': 432, 'label': '6AI-1', 'order': 6, 'powers': [22, 5], 'representative': 92, 'size': 2}
  • id: 105224345
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 83, 'group_counter': 719, 'group_order': 432, 'label': '6AJ1', 'order': 6, 'powers': [20, 5], 'representative': 164, 'size': 2}
  • id: 105224346
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 84, 'group_counter': 719, 'group_order': 432, 'label': '6AJ-1', 'order': 6, 'powers': [19, 5], 'representative': 376, 'size': 2}
  • id: 105224347
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 85, 'group_counter': 719, 'group_order': 432, 'label': '6AK1', 'order': 6, 'powers': [18, 6], 'representative': 21, 'size': 2}
  • id: 105224348
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 86, 'group_counter': 719, 'group_order': 432, 'label': '6AK-1', 'order': 6, 'powers': [17, 6], 'representative': 65, 'size': 2}
  • id: 105224349
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 87, 'group_counter': 719, 'group_order': 432, 'label': '6AL1', 'order': 6, 'powers': [17, 4], 'representative': 244, 'size': 2}
  • id: 105224350
    {'aut_label': '6S1', 'centralizer': '2.a1', 'counter': 88, 'group_counter': 719, 'group_order': 432, 'label': '6AL-1', 'order': 6, 'powers': [18, 4], 'representative': 248, 'size': 2}
  • id: 105224351
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 89, 'group_counter': 719, 'group_order': 432, 'label': '6AM1', 'order': 6, 'powers': [15, 5], 'representative': 184, 'size': 2}
  • id: 105224353
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 90, 'group_counter': 719, 'group_order': 432, 'label': '6AM-1', 'order': 6, 'powers': [16, 5], 'representative': 332, 'size': 2}
  • id: 105224354
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 91, 'group_counter': 719, 'group_order': 432, 'label': '6AN1', 'order': 6, 'powers': [11, 6], 'representative': 181, 'size': 2}
  • id: 105224355
    {'aut_label': '6P1', 'centralizer': '2.a1', 'counter': 92, 'group_counter': 719, 'group_order': 432, 'label': '6AN-1', 'order': 6, 'powers': [11, 6], 'representative': 325, 'size': 2}
  • id: 105224356
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 93, 'group_counter': 719, 'group_order': 432, 'label': '6AO1', 'order': 6, 'powers': [21, 2], 'representative': 173, 'size': 2}
  • id: 105224357
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 94, 'group_counter': 719, 'group_order': 432, 'label': '6AO-1', 'order': 6, 'powers': [22, 2], 'representative': 177, 'size': 2}
  • id: 105224358
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 95, 'group_counter': 719, 'group_order': 432, 'label': '6AP1', 'order': 6, 'powers': [19, 3], 'representative': 101, 'size': 2}
  • id: 105224359
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 96, 'group_counter': 719, 'group_order': 432, 'label': '6AP-1', 'order': 6, 'powers': [20, 3], 'representative': 105, 'size': 2}
  • id: 105224360
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 97, 'group_counter': 719, 'group_order': 432, 'label': '6AQ1', 'order': 6, 'powers': [19, 6], 'representative': 161, 'size': 2}
  • id: 105224361
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 98, 'group_counter': 719, 'group_order': 432, 'label': '6AQ-1', 'order': 6, 'powers': [20, 6], 'representative': 381, 'size': 2}
  • id: 105224362
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 99, 'group_counter': 719, 'group_order': 432, 'label': '6AR1', 'order': 6, 'powers': [21, 6], 'representative': 89, 'size': 2}
  • id: 105224239
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 100, 'group_counter': 719, 'group_order': 432, 'label': '6AR-1', 'order': 6, 'powers': [22, 6], 'representative': 309, 'size': 2}
  • id: 105224240
    {'aut_label': '6AA1', 'centralizer': '2.a1', 'counter': 101, 'group_counter': 719, 'group_order': 432, 'label': '6AS1', 'order': 6, 'powers': [9, 6], 'representative': 41, 'size': 2}
  • id: 105224241
    {'aut_label': '6AA1', 'centralizer': '2.a1', 'counter': 102, 'group_counter': 719, 'group_order': 432, 'label': '6AS-1', 'order': 6, 'powers': [10, 6], 'representative': 45, 'size': 2}
  • id: 105224242
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 103, 'group_counter': 719, 'group_order': 432, 'label': '6AT1', 'order': 6, 'powers': [15, 5], 'representative': 328, 'size': 2}
  • id: 105224243
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 104, 'group_counter': 719, 'group_order': 432, 'label': '6AT-1', 'order': 6, 'powers': [16, 5], 'representative': 188, 'size': 2}
  • id: 105224244
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 105, 'group_counter': 719, 'group_order': 432, 'label': '6AU1', 'order': 6, 'powers': [19, 2], 'representative': 317, 'size': 2}
  • id: 105224245
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 106, 'group_counter': 719, 'group_order': 432, 'label': '6AU-1', 'order': 6, 'powers': [20, 2], 'representative': 321, 'size': 2}
  • id: 105224246
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 107, 'group_counter': 719, 'group_order': 432, 'label': '6AV1', 'order': 6, 'powers': [21, 3], 'representative': 125, 'size': 2}
  • id: 105224247
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 108, 'group_counter': 719, 'group_order': 432, 'label': '6AV-1', 'order': 6, 'powers': [22, 3], 'representative': 129, 'size': 2}
  • id: 105224248
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 109, 'group_counter': 719, 'group_order': 432, 'label': '6AW1', 'order': 6, 'powers': [21, 6], 'representative': 305, 'size': 2}
  • id: 105224250
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 110, 'group_counter': 719, 'group_order': 432, 'label': '6AW-1', 'order': 6, 'powers': [22, 6], 'representative': 93, 'size': 2}
  • id: 105224251
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 111, 'group_counter': 719, 'group_order': 432, 'label': '6AX1', 'order': 6, 'powers': [20, 6], 'representative': 165, 'size': 2}
  • id: 105224252
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 112, 'group_counter': 719, 'group_order': 432, 'label': '6AX-1', 'order': 6, 'powers': [19, 6], 'representative': 377, 'size': 2}
  • id: 105224253
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 113, 'group_counter': 719, 'group_order': 432, 'label': '6AY1', 'order': 6, 'powers': [17, 3], 'representative': 245, 'size': 2}
  • id: 105224254
    {'aut_label': '6AD1', 'centralizer': '2.a1', 'counter': 114, 'group_counter': 719, 'group_order': 432, 'label': '6AY-1', 'order': 6, 'powers': [18, 3], 'representative': 249, 'size': 2}
  • id: 105224255
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 115, 'group_counter': 719, 'group_order': 432, 'label': '6AZ1', 'order': 6, 'powers': [15, 6], 'representative': 185, 'size': 2}
  • id: 105224256
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 116, 'group_counter': 719, 'group_order': 432, 'label': '6AZ-1', 'order': 6, 'powers': [16, 6], 'representative': 333, 'size': 2}
  • id: 105224257
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 117, 'group_counter': 719, 'group_order': 432, 'label': '6BA1', 'order': 6, 'powers': [15, 6], 'representative': 329, 'size': 2}
  • id: 105224258
    {'aut_label': '6T1', 'centralizer': '2.a1', 'counter': 118, 'group_counter': 719, 'group_order': 432, 'label': '6BA-1', 'order': 6, 'powers': [16, 6], 'representative': 189, 'size': 2}
  • id: 105224259
    {'aut_label': '6BB1', 'centralizer': '18.d1', 'counter': 119, 'group_counter': 719, 'group_order': 432, 'label': '6BB1', 'order': 6, 'powers': [10, 7], 'representative': 2, 'size': 18}
  • id: 105224261
    {'aut_label': '6BB1', 'centralizer': '18.d1', 'counter': 120, 'group_counter': 719, 'group_order': 432, 'label': '6BB-1', 'order': 6, 'powers': [9, 7], 'representative': 10, 'size': 18}
  • id: 105224262
    {'aut_label': '6BB1', 'centralizer': '18.d1', 'counter': 121, 'group_counter': 719, 'group_order': 432, 'label': '6BC1', 'order': 6, 'powers': [10, 8], 'representative': 3, 'size': 18}
  • id: 105224263
    {'aut_label': '6BB1', 'centralizer': '18.d1', 'counter': 122, 'group_counter': 719, 'group_order': 432, 'label': '6BC-1', 'order': 6, 'powers': [9, 8], 'representative': 11, 'size': 18}
  • id: 105224264
    {'aut_label': '12A1', 'centralizer': '18.f1', 'counter': 123, 'group_counter': 719, 'group_order': 432, 'label': '12A1', 'order': 12, 'powers': [29, 23], 'representative': 14, 'size': 18}
  • id: 105224265
    {'aut_label': '12A1', 'centralizer': '18.f1', 'counter': 124, 'group_counter': 719, 'group_order': 432, 'label': '12A-1', 'order': 12, 'powers': [30, 23], 'representative': 22, 'size': 18}
  • id: 105224266
    {'aut_label': '12A1', 'centralizer': '18.f1', 'counter': 125, 'group_counter': 719, 'group_order': 432, 'label': '12B1', 'order': 12, 'powers': [29, 24], 'representative': 15, 'size': 18}
  • id: 105224267
    {'aut_label': '12A1', 'centralizer': '18.f1', 'counter': 126, 'group_counter': 719, 'group_order': 432, 'label': '12B-1', 'order': 12, 'powers': [30, 24], 'representative': 23, 'size': 18}
• 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: 3368530
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1a', '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], 'schur_index': 1}
  • id: 3368541
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1b', '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], 'schur_index': 1}
  • id: 3368552
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1c', '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], 'schur_index': 1}
  • id: 3368563
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1d', '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], 'schur_index': 1}
  • id: 3368574
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -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: 3368585
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -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: 3368596
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -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: 3368604
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3368605
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3368531
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, -2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -2, -1, 1, 1, 1, 1, -1, 1, 1, -2, 1, 1, -2, -1, 1, -2, -1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, -2, -1, 1, -2, -2, 1, -1, 1, 1, -2, 1, -2, 2, 1, 1, -2, -2, 2, -1, 1, -2, 2, -2, 1, -2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 1, -1, -1, 1, 2, -1, -1, 1, 1, -1, -1, -1, 1, 1, 2, 2, -2, -2, -1, 1, -1, -1, -1, 1, -1, 1, -1, 2, -1, 1, 1, -1, 1, -2, 1, -1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3368532
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1k', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, -2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -2, 2, -1, 1, 1, 1, 1, -1, 1, 1, -2, 1, 1, -2, -1, 1, -2, -1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, -2, -1, 1, -2, -2, 1, -1, 1, 1, -2, 1, -2, 2, 1, 1, -2, -2, 2, -1, 1, -2, 2, -2, 1, -2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 1, -1, -1, 1, 2, -1, -1, 1, 1, -1, -1, -1, 1, 1, 2, 2, -2, -2, -1, 1, -1, -1, -1, 1, -1, 1, -1, 2, -1, 1, 1, -1, 1, -2, -1, 1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3368533
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, -2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -2, 2, -1, 1, 1, 1, 1, -1, -1, 1, 2, -1, 1, -2, 1, 1, 2, -1, -1, -1, -1, 2, -1, 2, 1, 1, -1, 1, -2, -1, -1, 2, -2, 1, 1, -1, -1, -2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, -2, -2, -2, -1, -2, -1, 1, 1, -1, -2, -2, -1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -1, 1, -1, 1, -2, -2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -1, 1, -1, 1, -1, -2, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3368534
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -2, -1, 1, 1, 1, 1, -1, -1, 1, 2, -1, 1, -2, 1, 1, 2, -1, -1, -1, -1, 2, -1, 2, 1, 1, -1, 1, -2, -1, -1, 2, -2, 1, 1, -1, -1, -2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, -2, -2, -2, -1, -2, -1, 1, 1, -1, -2, -2, -1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -1, 1, -1, 1, -2, -2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -1, 1, -1, 1, -1, -2, -1, 1, 1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3368535
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, -1, -2, 1, -1, 2, 1, -1, -2, -1, 1, 1, 1, 2, 1, 2, -1, -1, 1, -1, 2, -1, 1, -2, 2, -1, 1, 1, 1, 2, 1, -2, 2, 1, 1, -2, -2, 2, -1, 1, 2, -2, 2, 1, 2, -1, 1, 1, -1, -2, -2, -1, -2, 1, -1, 1, 1, -1, -2, 1, 1, -1, -1, 1, -1, 1, 1, -1, -2, -2, -2, -2, 1, -1, 1, 1, 1, -1, 1, -1, 1, -2, -1, -1, 1, 1, 1, 2, 1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3368536
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -2, -2, -1, -1, -1, -1, -1, -1, 1, -1, -2, 1, -1, 2, 1, -1, -2, -1, 1, 1, 1, 2, 1, 2, -1, -1, 1, -1, 2, -1, 1, -2, 2, -1, 1, 1, 1, 2, 1, -2, 2, 1, 1, -2, -2, 2, -1, 1, 2, -2, 2, 1, 2, -1, 1, 1, -1, -2, -2, -1, -2, 1, -1, 1, 1, -1, -2, 1, 1, -1, -1, 1, -1, 1, 1, -1, -2, -2, -2, -2, 1, -1, 1, 1, 1, -1, 1, -1, 1, -2, -1, -1, 1, 1, 1, 2, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3368537
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3368538
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368539
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368540
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2c', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368542
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2d', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368543
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, 2, 2, -2, -2, -2, 0, 2, 0, 0, -2, -2, 0, -2, 0, -2, 0, 0, 0, -2, 0, -2, 2, -2, 0, -2, -2, -2, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 2, 0, 2, 0, 2, -2, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368544
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, 2, 2, -2, 0, -2, 0, 0, 2, 2, 0, 2, 0, -2, 0, 0, 0, -2, 0, -2, -2, 2, 0, 2, 2, -2, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368545
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 2, -2, -2, -2, -2, 2, 1, 1, 1, 1, -2, -2, -1, -2, 1, -1, 1, -2, 1, 2, 1, -1, -2, 1, -2, 1, 1, -1, -2, 1, 1, 1, -1, -2, 1, 1, -2, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -2, 1, 1, 2, 2, 2, -1, -1, 2, -1, -1, -1, 1, 2, -1, -2, -1, -1, -1, 1, 1, -1, 2, -1, 1, 1, 2, -1, -2, -2, -1, 1, -1, 2, -1, 1, 2, 1, 2, -1, -1, 1, 1, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368546
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 0, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, -2, -2, -2, -2, 2, 1, -2, 1, -2, 1, 1, -1, 1, -2, -1, 1, 1, -2, -1, -2, 2, 1, -2, -2, 1, 1, -1, 1, 1, 1, 1, -1, -2, 1, -2, 1, -2, -1, 1, -2, 1, 1, -1, 2, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 1, 2, -1, 1, 2, 2, -1, -2, 1, -1, -1, 2, 1, 1, -1, -1, 1, 1, -1, 1, 2, 2, -1, 1, -1, -2, -1, 2, -1, 1, 1, 2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368547
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 2, -2, -2, -2, -2, 2, -2, 1, 1, 1, 1, 1, 2, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -2, -2, -2, -1, 1, -2, 1, 1, -1, -2, -2, 1, 1, 1, 2, 1, 1, 1, -2, -1, -1, -2, 1, 2, 1, 1, -2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 1, 2, -1, 1, -1, -1, -1, 1, 1, 2, -1, -1, -2, -2, -1, 2, 1, 1, -1, -2, -1, 2, 2, 1, -1, 1, -1, -1, 2, -2, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368548
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 2, -2, -2, -2, -2, 2, 1, 1, -2, 1, 1, 1, -1, 1, 1, 2, -2, 1, 1, -1, 1, -1, 1, 1, -2, 1, 1, 2, 1, 1, -2, -2, 2, -2, 1, 1, 1, 1, -1, -2, 1, -2, 1, 2, -1, 1, -2, -1, 1, -2, 1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -2, 2, 2, 1, -1, -1, 2, 1, -2, -1, -1, -1, 1, 1, -1, -1, 1, 1, 2, 1, -1, 2, -1, -2, -1, 1, -1, -1, -1, 1, -2, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368549
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 2, -2, -2, -2, -2, 2, -1, 1, -1, -1, -2, -2, 1, -2, -1, -1, -1, 2, -1, 2, -1, -1, -2, 1, 2, 1, 1, -1, 2, -1, 1, 1, 1, 2, -1, 1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -2, -1, 1, 2, -2, -2, -1, 1, -2, -1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 2, 1, -1, 1, -2, 1, 2, 2, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, -1, 1, -1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368550
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 0, 0, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, -2, -2, -2, -2, 2, -1, -2, -1, 2, 1, 1, 1, 1, 2, -1, -1, -1, 2, -1, 2, 2, 1, -2, 2, 1, 1, -1, -1, -1, 1, 1, 1, 2, -1, -2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 2, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, -1, -2, -1, 1, 1, 1, -1, -1, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, -1, 1, -1, -2, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368551
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2m', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 2, -2, -2, -2, -2, 2, 2, 1, -1, -1, 1, 1, -2, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 2, -2, -2, -1, -1, 2, 1, 1, 1, 2, 2, 1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 1, -2, 1, -1, -2, -1, 1, 1, 2, 1, 1, -1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, -1, 1, 2, -2, 1, -2, -1, -1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 2, -2, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368553
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2n', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 2, -2, -2, -2, -2, 2, -1, 1, 2, -1, 1, 1, 1, 1, -1, 2, 2, -1, -1, -1, -1, -1, 1, 1, 2, 1, 1, 2, -1, -1, -2, -2, -2, 2, -1, 1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -2, 1, 1, 2, 1, -1, 1, 1, -1, -2, 1, -1, -2, 1, -2, -2, -2, 1, 1, 1, -2, 1, -2, 1, -1, 1, -1, 1, 1, 1, -1, -1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, -1, 1, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368554
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2o', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 2, 2, 2, 2, 2, 2, 1, -1, 1, 1, 2, 2, 1, 2, 1, -1, 1, -2, 1, 2, 1, -1, 2, -1, -2, -1, -1, -1, -2, 1, -1, -1, 1, -2, 1, -1, -2, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 2, 1, -1, 2, -2, -2, -1, 1, -2, -1, 1, 1, -1, -2, 1, 2, 1, 1, 1, -1, -1, 1, 2, 1, 1, -1, -2, 1, -2, -2, 1, -1, 1, -2, 1, -1, -2, -1, -2, 1, -1, -1, 1, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368555
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2p', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, -2, -1, -1, 1, -1, -2, -1, 1, 1, -2, -1, -2, 2, -1, 2, -2, -1, -1, -1, 1, 1, -1, -1, 1, -2, 1, 2, 1, -2, -1, 1, -2, 1, 1, -1, 2, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 2, 1, 1, -1, -2, 1, -1, -2, -2, 1, 2, -1, 1, -1, -2, 1, -1, 1, 1, 1, 1, 1, -1, -2, -2, 1, -1, 1, 2, 1, -2, -1, -1, 1, -2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368556
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2q', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, -2, -1, 1, 1, -1, -1, -2, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -2, 2, 2, -1, 1, -2, -1, -1, 1, -2, -2, -1, 1, 1, 2, 1, 1, 1, -2, -1, -1, -2, -1, -2, -1, 1, 2, -1, 1, 1, 2, 1, 1, -1, 1, -2, -1, -2, 1, -1, 1, 1, 1, -1, -1, -2, -1, 1, -2, 2, 1, -2, 1, 1, 1, 2, 1, -2, -2, -1, 1, -1, 1, 1, 2, 2, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368557
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2r', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, -1, -2, 1, -1, -1, 1, -1, 1, 2, -2, 1, 1, -1, 1, -1, -1, -1, -2, -1, -1, 2, 1, 1, 2, 2, -2, -2, 1, -1, 1, 1, -1, -2, 1, -2, 1, 2, -1, 1, 2, 1, -1, -2, -1, -1, 1, 1, -1, -2, 1, -1, -2, 1, 2, -2, -2, -1, 1, 1, -2, -1, 2, 1, -1, 1, 1, -1, 1, 1, 1, 1, -2, -1, 1, -2, 1, 2, 1, -1, 1, 1, -1, -1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368558
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2s', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2, -2, 1, -2, 4, -2, -2, -2, 1, -2, 1, -2, -2, -2, 1, 4, -2, 4, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, 4, -2, 1, 4, 1, -2, -2, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368559
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2t', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, -2, 4, 1, 1, 4, -2, 1, 1, -2, -2, -2, 1, -2, 4, 1, 1, -2, 4, -2, 1, -2, -2, 4, -2, 1, 4, 1, 1, 1, -2, -2, -2, 1, -2, -2, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, 4, -2, -2, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368560
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2u', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, -2, 1, -2, 4, 1, -2, -2, 1, 1, -2, 1, 4, 1, -2, -2, 1, -2, 1, -2, 1, -2, -2, -2, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1, -2, -2, 4, 1, -2, -2, -2, -2, 1, -2, 4, 1, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 4, -2, 4, 4, 1, 1, 1, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368561
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2v', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, -2, -2, -2, -2, -2, -2, 1, -2, -2, -2, 1, -2, 1, 1, 4, 1, 1, 1, -2, -2, -2, 4, 1, -2, -2, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1, 4, 1, 4, -2, 1, -2, -2, -2, -2, -2, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, -2, 1, 1, -2, 1, 1, 4, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, 4, 1, 1, 1, -2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368562
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2w', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, 0, 0, -4, 4, 4, -4, -4, -4, 0, -2, 0, 0, -4, -4, 0, -4, 0, 2, 0, 0, 0, -4, 0, 2, 4, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 4, 0, -2, -4, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 4, 0, 0, 0, 2, -2, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368564
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2x', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, -2, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, -4, 4, 4, -4, -4, -4, 0, 4, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, -4, -2, -4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, -2, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, -4, 0, 0, -2, 0, 0, -2, 0, 0, 0, -4, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 4, 0, 0, 2, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368565
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2y', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, -2, 4, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, -4, 4, 4, -4, -4, -4, 0, -2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, -2, 2, 0, -4, -4, 2, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 2, 2, 0, -2, 0, -2, 0, 4, 2, 0, 0, -4, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, -2, 0, 0, -4, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368566
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2z', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 0, 0, -4, 4, 4, -4, -4, -4, 0, -2, 0, 0, 2, 2, 0, 2, 0, -4, 0, 0, 0, 2, 0, 2, -2, 2, 0, 2, 2, -4, 0, 0, -4, -4, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -4, 2, 0, 4, 0, -2, 0, -2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 4, 0, 0, -2, 0, 0, 0, 2, 4, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368567
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2aa', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, 0, 0, -4, -4, -4, 4, 4, -4, 0, 2, 0, 0, 4, 4, 0, 4, 0, 2, 0, 0, 0, -4, 0, 2, -4, -2, 0, -2, -2, 2, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, -4, 0, 2, -4, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, -4, 0, 0, 0, -2, 2, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368568
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ab', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -2, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, -4, -4, -4, 4, 4, -4, 0, -4, 0, 0, -2, -2, 0, -2, 0, 2, 0, 0, 0, 2, 0, -4, 2, 4, 0, -2, -2, 2, 0, 0, -2, -2, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 0, 2, -4, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, -4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 4, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -4, 0, 0, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368569
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ac', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, -2, 4, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, -4, -4, -4, 4, 4, -4, 0, 2, 0, 0, -2, -2, 0, -2, 0, 2, 0, 0, 0, 2, 0, 2, 2, -2, 0, 4, 4, 2, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, -4, 2, 0, 0, -4, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 2, 0, 0, -4, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368570
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ad', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 0, 0, -4, -4, -4, 4, 4, -4, 0, 2, 0, 0, -2, -2, 0, -2, 0, -4, 0, 0, 0, 2, 0, 2, 2, -2, 0, -2, -2, -4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, -4, 2, 0, -4, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, -4, 0, 0, 2, 0, 0, 0, -2, -4, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368571
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ae', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 0, 0, 2, -2, -2, 2, 2, 2, 0, -2, 0, 0, 2, -4, 0, 2, 0, 2, 0, 0, 0, -4, 0, -4, -2, 2, 0, 2, -4, 2, 0, 0, -4, 2, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 2, 0, 4, 0, 4, 0, 4, 2, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368572
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2af', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 0, 0, 2, 2, 2, -2, -2, 2, 0, 2, 0, 0, -2, 4, 0, -2, 0, 2, 0, 0, 0, -4, 0, -4, 2, -2, 0, -2, 4, 2, 0, 0, 4, -2, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 2, 0, -4, 0, -4, 0, -4, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368573
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ag', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, -2, 2, 2, 2, 2, -2, -1, -1, -4, -1, -1, 2, 1, -1, 2, -2, 2, -1, -1, -2, -1, -2, -1, -1, 2, -1, 2, -2, -1, 2, -4, 2, -2, 2, -1, 2, -1, 2, -2, 2, -1, -4, 2, 4, 1, -1, -4, -2, 2, 2, 2, 1, 1, 1, 1, 4, -2, 1, 4, 1, 2, -2, -2, -1, -2, 1, -2, -1, 2, 1, 1, 1, -1, -1, -2, -2, 2, 2, -2, -1, 1, -2, 1, 2, 1, -1, 1, -2, 1, -1, 2, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368575
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ah', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, -2, 2, 2, 2, 2, -2, 2, -1, 2, -1, -1, 2, -2, -1, 2, 1, -1, -1, -1, -2, -1, -2, -1, -1, 2, 2, -4, 1, -1, -4, 2, -1, 1, 2, 2, 2, -1, 2, 4, -1, -1, 2, -4, -2, 1, 2, 2, 4, 2, -1, -4, 1, 1, 1, -2, -2, -2, 1, -2, -2, -1, -2, 1, -1, -2, 1, 1, -1, -1, -2, 1, 1, 2, 2, -2, 4, 2, 2, 1, 2, 1, -2, -2, -1, 1, -1, 1, -2, -2, 2, -1, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368576
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ai', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, -2, 2, 2, 2, 2, -2, -1, -1, 2, -1, 2, -4, 1, 2, 2, 1, -1, 2, -1, 4, -1, -2, 2, -1, 2, -1, 2, 1, 2, 2, 2, -1, 1, 2, -1, 2, 2, 2, -2, -1, -1, 2, 2, -2, 1, -1, 2, -2, -4, -1, 2, -2, -2, -2, 1, -2, 4, 1, -2, 1, -1, -2, 1, 2, -2, 1, 1, -1, -1, 1, -2, 1, -1, -1, 4, -2, -4, -4, 1, -1, 1, -2, 1, -1, -2, -1, -2, -2, 1, -1, -1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368577
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2aj', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, -2, 2, 2, 2, 2, -2, -1, 2, 2, 2, -1, 2, 1, -1, -4, 1, -1, -1, 2, -2, 2, 4, -1, 2, 2, -1, 2, 1, -1, 2, 2, -1, 1, 2, -1, -4, -1, -4, -2, -1, 2, 2, 2, -2, -2, -1, 2, -2, 2, -1, 2, 1, 1, 1, 1, -2, -2, -2, -2, 1, -1, -2, 1, -1, 4, -2, 1, 2, -1, 1, 1, -2, -1, -1, -2, -2, 2, 2, 1, -1, -2, -2, 1, -1, 1, 2, 1, 4, 1, -1, -1, -2, -1, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368578
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ak', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, -2, 2, 2, 2, 2, -2, 1, -1, 4, 1, -1, 2, -1, -1, -2, -2, -2, 1, 1, -2, 1, -2, -1, -1, -2, -1, 2, -2, 1, -2, -4, 2, 2, -2, 1, 2, 1, -2, -2, -2, 1, 4, -2, 4, 1, 1, -4, 2, 2, -2, 2, 1, -1, -1, 1, -4, 2, 1, -4, -1, 2, 2, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 2, 2, -2, -2, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, 1, -1, -2, -1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368579
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2al', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, -2, 2, 2, 2, 2, -2, -2, -1, -2, 1, -1, 2, 2, -1, -2, 1, 1, 1, 1, -2, 1, -2, -1, -1, -2, 2, -4, 1, 1, 4, 2, -1, -1, -2, -2, 2, 1, -2, 4, 1, 1, -2, 4, -2, 1, -2, 2, -4, 2, 1, -4, 1, -1, -1, -2, 2, 2, 1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, 1, -1, -2, 2, 2, -4, -2, -2, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -2, 2, 1, -1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368580
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2am', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, -2, 2, 2, 2, 2, -2, 1, -1, -2, 1, 2, -4, -1, 2, -2, 1, 1, -2, 1, 4, 1, -2, 2, -1, -2, -1, 2, 1, -2, -2, 2, -1, -1, -2, 1, 2, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1, 2, 2, -4, 1, 2, -2, 2, 2, 1, 2, -4, 1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -2, -1, 1, -1, -4, 2, 4, 4, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 1, -1, 1, -1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368581
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2an', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, -2, 2, 2, 2, 2, -2, 1, 2, -2, -2, -1, 2, -1, -1, 4, 1, 1, 1, -2, -2, -2, 4, -1, 2, -2, -1, 2, 1, 1, -2, 2, -1, -1, -2, 1, -4, 1, 4, -2, 1, -2, -2, -2, -2, -2, 1, 2, 2, 2, 1, 2, 1, -1, -1, 1, 2, 2, -2, 2, -1, -1, 2, -1, -1, -4, 2, -1, 2, -1, -1, 1, 2, 1, -1, 2, 2, -2, -2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -4, 1, -1, 1, 2, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368582
    {'cdim': 2, 'counter': 57, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ao', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, -2, -2, -2, -2, -2, -2, -1, 1, -4, -1, 1, -2, -1, 1, 2, -2, 2, -1, -1, -2, -1, -2, 1, 1, 2, 1, -2, -2, -1, 2, 4, -2, 2, 2, -1, -2, -1, 2, -2, 2, -1, -4, 2, 4, 1, -1, 4, 2, -2, 2, -2, 1, -1, -1, 1, -4, 2, 1, -4, -1, -2, 2, 2, 1, 2, -1, 2, 1, -2, -1, 1, -1, -1, 1, 2, 2, 2, 2, 2, 1, -1, 2, -1, -2, -1, 1, -1, 2, 1, 1, 2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368583
    {'cdim': 2, 'counter': 58, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ap', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, -2, -2, -2, -2, -2, -2, 2, 1, 2, -1, 1, -2, 2, 1, 2, 1, -1, -1, -1, -2, -1, -2, 1, 1, 2, -2, 4, 1, -1, -4, -2, 1, -1, 2, 2, -2, -1, 2, 4, -1, -1, 2, -4, -2, 1, 2, -2, -4, -2, -1, 4, 1, -1, -1, -2, 2, 2, 1, 2, 2, 1, 2, -1, 1, 2, -1, -1, 1, 1, 2, 1, -1, 2, -2, 2, -4, 2, 2, -1, -2, -1, 2, 2, 1, -1, 1, -1, 2, -2, -2, -1, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368584
    {'cdim': 2, 'counter': 59, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2aq', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, -2, -2, -2, -2, -2, -2, -1, 1, 2, -1, -2, 4, -1, -2, 2, 1, -1, 2, -1, 4, -1, -2, -2, 1, 2, 1, -2, 1, 2, 2, -2, 1, -1, 2, -1, -2, 2, 2, -2, -1, -1, 2, 2, -2, 1, -1, -2, 2, 4, -1, -2, -2, 2, 2, 1, 2, -4, 1, 2, -1, 1, 2, -1, -2, 2, -1, -1, 1, 1, -1, -2, -1, -1, 1, -4, 2, -4, -4, -1, 1, -1, 2, -1, 1, 2, 1, 2, 2, 1, 1, -1, -1, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368586
    {'cdim': 2, 'counter': 60, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ar', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, -2, -2, -2, -2, -2, -2, -1, -2, 2, 2, 1, -2, -1, 1, -4, 1, -1, -1, 2, -2, 2, 4, 1, -2, 2, 1, -2, 1, -1, 2, -2, 1, -1, 2, -1, 4, -1, -4, -2, -1, 2, 2, 2, -2, -2, -1, -2, 2, -2, -1, -2, 1, -1, -1, 1, 2, 2, -2, 2, -1, 1, 2, -1, 1, -4, 2, -1, -2, 1, -1, 1, 2, -1, 1, 2, 2, 2, 2, -1, 1, 2, 2, -1, 1, -1, -2, -1, -4, 1, 1, -1, 2, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368587
    {'cdim': 2, 'counter': 61, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2as', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, 2, -2, -2, 2, 2, 2, -3, 1, 0, 3, -1, 2, -3, -1, 0, 2, 0, -3, -3, 2, -3, 2, 1, -1, 0, -1, 2, 2, -3, 0, -4, 2, 0, 0, -3, -2, 3, 0, 2, 0, 3, 0, 0, -4, -1, 3, 4, 0, -2, 0, -2, -1, 3, -3, -1, 0, 0, -1, 0, 3, -2, 0, 0, 1, 0, -3, 0, -1, -2, -3, -1, -3, 3, 1, 0, 0, 0, 0, 0, 1, 3, 0, 3, 2, 3, 1, -3, 0, -1, -1, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368588
    {'cdim': 2, 'counter': 62, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2at', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, 2, -2, -2, 2, 2, 2, 3, 1, 0, -3, -1, 2, 3, -1, 0, 2, 0, 3, 3, 2, 3, 2, 1, -1, 0, -1, 2, 2, 3, 0, -4, 2, 0, 0, 3, -2, -3, 0, 2, 0, -3, 0, 0, -4, -1, -3, 4, 0, -2, 0, -2, -1, -3, 3, -1, 0, 0, -1, 0, -3, -2, 0, 0, 1, 0, 3, 0, -1, -2, 3, -1, 3, -3, 1, 0, 0, 0, 0, 0, 1, -3, 0, -3, 2, -3, 1, 3, 0, -1, -1, 0, -3, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368589
    {'cdim': 2, 'counter': 63, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2au', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, 2, -2, -2, 2, 2, 2, 0, 1, 0, -3, -1, 2, 0, -1, 0, -1, -3, -3, 3, 2, 3, 2, 1, -1, 0, 2, -4, -1, -3, 0, 2, -1, -3, 0, 0, -2, 3, 0, -4, -3, -3, 0, 0, 2, -1, 0, -2, 0, -2, 3, 4, -1, 3, -3, 2, 0, 0, -1, 0, 0, 1, 0, -3, 1, 0, 3, 3, -1, 1, 0, -1, 3, 0, -2, 0, 0, 0, 0, 3, -2, -3, 0, 0, -1, 3, 1, -3, 0, 2, 2, 3, -3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368590
    {'cdim': 2, 'counter': 64, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2av', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, 2, -2, -2, 2, 2, 2, 0, 1, 0, 3, -1, 2, 0, -1, 0, -1, 3, 3, -3, 2, -3, 2, 1, -1, 0, 2, -4, -1, 3, 0, 2, -1, 3, 0, 0, -2, -3, 0, -4, 3, 3, 0, 0, 2, -1, 0, -2, 0, -2, -3, 4, -1, -3, 3, 2, 0, 0, -1, 0, 0, 1, 0, 3, 1, 0, -3, -3, -1, 1, 0, -1, -3, 0, -2, 0, 0, 0, 0, -3, -2, 3, 0, 0, -1, -3, 1, 3, 0, 2, 2, -3, 3, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368591
    {'cdim': 2, 'counter': 65, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2aw', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, 2, -2, -2, 2, 2, 2, -3, 1, 0, -3, 2, -4, -3, 2, 0, -1, 3, 0, 3, -4, 3, 2, -2, -1, 0, -1, 2, -1, 0, 0, 2, -1, 3, 0, -3, -2, 0, 0, 2, 3, -3, 0, 0, 2, -1, 3, -2, 0, 4, -3, -2, 2, 0, 0, -1, 0, 0, -1, 0, 3, 1, 0, 3, -2, 0, 3, -3, -1, 1, -3, 2, 3, 3, 1, 0, 0, 0, 0, -3, 1, -3, 0, 3, -1, 0, 1, 0, 0, -1, -1, -3, -3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368592
    {'cdim': 2, 'counter': 66, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ax', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, 2, -2, -2, 2, 2, 2, 3, 1, 0, 3, 2, -4, 3, 2, 0, -1, -3, 0, -3, -4, -3, 2, -2, -1, 0, -1, 2, -1, 0, 0, 2, -1, -3, 0, 3, -2, 0, 0, 2, -3, 3, 0, 0, 2, -1, -3, -2, 0, 4, 3, -2, 2, 0, 0, -1, 0, 0, -1, 0, -3, 1, 0, -3, -2, 0, -3, 3, -1, 1, 3, 2, -3, -3, 1, 0, 0, 0, 0, 3, 1, 3, 0, -3, -1, 0, 1, 0, 0, -1, -1, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368593
    {'cdim': 2, 'counter': 67, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ay', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, 2, -2, -2, 2, 2, 2, -3, -2, 0, 0, -1, 2, -3, -1, 0, -1, -3, 3, 0, 2, 0, -4, 1, 2, 0, -1, 2, -1, 3, 0, 2, -1, -3, 0, -3, 4, -3, 0, 2, -3, 0, 0, 0, 2, 2, 3, -2, 0, -2, 3, -2, -1, -3, 3, -1, 0, 0, 2, 0, 3, 1, 0, -3, 1, 0, 0, 3, 2, 1, -3, -1, 0, 3, 1, 0, 0, 0, 0, 3, 1, 0, 0, 3, -1, -3, -2, 3, 0, -1, -1, 3, 0, -3, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368594
    {'cdim': 2, 'counter': 68, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2az', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, 2, -2, -2, 2, 2, 2, 3, -2, 0, 0, -1, 2, 3, -1, 0, -1, 3, -3, 0, 2, 0, -4, 1, 2, 0, -1, 2, -1, -3, 0, 2, -1, 3, 0, 3, 4, 3, 0, 2, 3, 0, 0, 0, 2, 2, -3, -2, 0, -2, -3, -2, -1, 3, -3, -1, 0, 0, 2, 0, -3, 1, 0, 3, 1, 0, 0, -3, 2, 1, 3, -1, 0, -3, 1, 0, 0, 0, 0, -3, 1, 0, 0, -3, -1, 3, -2, -3, 0, -1, -1, -3, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368595
    {'cdim': 2, 'counter': 69, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2ba', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, 2, 2, 2, -2, -2, 2, -3, -1, 0, 3, 1, -2, 3, 1, 0, 2, 0, -3, -3, 2, -3, 2, -1, 1, 0, 1, -2, 2, -3, 0, 4, -2, 0, 0, -3, 2, 3, 0, 2, 0, 3, 0, 0, -4, -1, 3, -4, 0, 2, 0, 2, -1, -3, 3, -1, 0, 0, -1, 0, -3, 2, 0, 0, -1, 0, 3, 0, 1, 2, 3, -1, 3, 3, -1, 0, 0, 0, 0, 0, -1, -3, 0, -3, -2, -3, -1, 3, 0, -1, 1, 0, -3, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368597
    {'cdim': 2, 'counter': 70, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bb', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 4, 0, 0, 2, 2, 2, -2, -2, 2, 3, -1, 0, -3, 1, -2, -3, 1, 0, 2, 0, 3, 3, 2, 3, 2, -1, 1, 0, 1, -2, 2, 3, 0, 4, -2, 0, 0, 3, 2, -3, 0, 2, 0, -3, 0, 0, -4, -1, -3, -4, 0, 2, 0, 2, -1, 3, -3, -1, 0, 0, -1, 0, 3, 2, 0, 0, -1, 0, -3, 0, 1, 2, -3, -1, -3, -3, -1, 0, 0, 0, 0, 0, -1, 3, 0, 3, -2, 3, -1, -3, 0, -1, 1, 0, 3, -3, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368598
    {'cdim': 2, 'counter': 71, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bc', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, 2, 2, 2, -2, -2, 2, 0, -1, 0, -3, 1, -2, 0, 1, 0, -1, -3, -3, 3, 2, 3, 2, -1, 1, 0, -2, 4, -1, -3, 0, -2, 1, 3, 0, 0, 2, 3, 0, -4, -3, -3, 0, 0, 2, -1, 0, 2, 0, 2, 3, -4, -1, -3, 3, 2, 0, 0, -1, 0, 0, -1, 0, 3, -1, 0, -3, -3, 1, -1, 0, -1, -3, 0, 2, 0, 0, 0, 0, -3, 2, 3, 0, 0, 1, -3, -1, 3, 0, 2, -2, 3, 3, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368599
    {'cdim': 2, 'counter': 72, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bd', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, -2, 1, -2, 0, 0, 2, 2, 2, -2, -2, 2, 0, -1, 0, 3, 1, -2, 0, 1, 0, -1, 3, 3, -3, 2, -3, 2, -1, 1, 0, -2, 4, -1, 3, 0, -2, 1, -3, 0, 0, 2, -3, 0, -4, 3, 3, 0, 0, 2, -1, 0, 2, 0, 2, -3, -4, -1, 3, -3, 2, 0, 0, -1, 0, 0, -1, 0, -3, -1, 0, 3, 3, 1, -1, 0, -1, 3, 0, 2, 0, 0, 0, 0, 3, 2, -3, 0, 0, 1, 3, -1, -3, 0, 2, -2, -3, -3, -3, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368600
    {'cdim': 2, 'counter': 73, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2be', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, 2, 2, 2, -2, -2, 2, -3, -1, 0, -3, -2, 4, 3, -2, 0, -1, 3, 0, 3, -4, 3, 2, 2, 1, 0, 1, -2, -1, 0, 0, -2, 1, -3, 0, -3, 2, 0, 0, 2, 3, -3, 0, 0, 2, -1, 3, 2, 0, -4, -3, 2, 2, 0, 0, -1, 0, 0, -1, 0, -3, -1, 0, -3, 2, 0, -3, 3, 1, -1, 3, 2, -3, 3, -1, 0, 0, 0, 0, 3, -1, 3, 0, -3, 1, 0, -1, 0, 0, -1, 1, -3, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368601
    {'cdim': 2, 'counter': 74, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bf', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 1, -2, 4, 1, 1, -2, -2, 1, 1, -2, -2, 0, 0, 2, 2, 2, -2, -2, 2, 3, -1, 0, 3, -2, 4, -3, -2, 0, -1, -3, 0, -3, -4, -3, 2, 2, 1, 0, 1, -2, -1, 0, 0, -2, 1, 3, 0, 3, 2, 0, 0, 2, -3, 3, 0, 0, 2, -1, -3, 2, 0, -4, 3, 2, 2, 0, 0, -1, 0, 0, -1, 0, 3, -1, 0, 3, 2, 0, 3, -3, 1, -1, -3, 2, 3, -3, -1, 0, 0, 0, 0, -3, -1, -3, 0, 3, 1, 0, -1, 0, 0, -1, 1, 3, -3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368602
    {'cdim': 2, 'counter': 75, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bg', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, 2, 2, 2, -2, -2, 2, -3, 2, 0, 0, 1, -2, 3, 1, 0, -1, -3, 3, 0, 2, 0, -4, -1, -2, 0, 1, -2, -1, 3, 0, -2, 1, 3, 0, -3, -4, -3, 0, 2, -3, 0, 0, 0, 2, 2, 3, 2, 0, 2, 3, 2, -1, 3, -3, -1, 0, 0, 2, 0, -3, -1, 0, 3, -1, 0, 0, -3, -2, -1, 3, -1, 0, 3, -1, 0, 0, 0, 0, -3, -1, 0, 0, -3, 1, 3, 2, -3, 0, -1, 1, 3, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3368603
    {'cdim': 2, 'counter': 76, 'faithful': False, 'group': '432.719', 'group_order': 432, 'image': None, 'label': '432.719.2bh', 'multiplicity': 2, 'nt': [12, 42], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, -2, 0, 0, 2, 2, 2, -2, -2, 2, 3, 2, 0, 0, 1, -2, -3, 1, 0, -1, 3, -3, 0, 2, 0, -4, -1, -2, 0, 1, -2, -1, -3, 0, -2, 1, -3, 0, 3, -4, 3, 0, 2, 3, 0, 0, 0, 2, 2, -3, 2, 0, 2, -3, 2, -1, -3, 3, -1, 0, 0, 2, 0, 3, -1, 0, -3, -1, 0, 0, 3, -2, -1, -3, -1, 0, -3, -1, 0, 0, 0, 0, 3, -1, 0, 0, 3, 1, -3, 2, 3, 0, -1, 1, -3, 0, 3, 4, 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: 4630335
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 432, 'label': '432.719.1a', '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]]]}
  • id: 4630373
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  • id: 4630384
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  • id: 4630395
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  • id: 4630406
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 216, 'label': '432.719.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[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: 4630417
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 216, 'label': '432.719.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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: 4630428
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  • id: 4630439
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  • id: 4630450
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  • id: 4630336
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  • id: 4630347
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  • id: 4630358
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  • id: 4630366
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  • id: 4630367
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  • id: 4630368
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  • id: 4630369
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  • id: 4630370
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  • id: 4630371
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 72, 'label': '432.719.1m2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]]]}
  • id: 4630372
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 72, 'label': '432.719.1n1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 4630374
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 72, 'label': '432.719.1n2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 4630375
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 72, 'label': '432.719.1o1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 4630376
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 72, 'label': '432.719.1o2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 4630377
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 72, 'label': '432.719.1p1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 4630378
    {'center': '1.a1', 'center_index': 1, 'center_order': 432, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 72, 'label': '432.719.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 4630379
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 72, 'label': '432.719.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630416
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 59, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2aa1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630418
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 60, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2aa2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630419
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 61, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ab1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630420
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 62, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ab2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630421
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 63, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ac1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[2, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630422
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 64, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ac2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630423
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 65, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ad1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630424
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 66, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2ad2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630425
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 67, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 18, 'label': '432.719.2ae1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630426
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 68, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 18, 'label': '432.719.2ae2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, -1]], [[-2, -1]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630427
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 69, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 18, 'label': '432.719.2af1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630429
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 70, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 18, 'label': '432.719.2af2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[2, -1]], [[0, 0]], [[2, -1]], [[2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, -1]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630430
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 71, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ag1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[1, 1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[2, -1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[2, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-2, 1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, -1]], [[1, -1]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-2, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[1, -1]], [[-2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-2, 1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630431
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 72, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ag2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[1, -1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[2, 1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[2, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-2, -1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 1]], [[1, 1]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[1, 1]], [[-2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, -1]], [[1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-2, -1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630432
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 73, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ah1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-1, 1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[2, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, -1]], [[-2, -1]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, -1]], [[-2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[1, -1]], [[2, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-2, 1]], [[-2, 1]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[2, -1]], [[2, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-2, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630433
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 74, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ah2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-1, -1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[2, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1]], [[-2, 1]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 1]], [[-2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[1, 1]], [[2, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-2, -1]], [[-2, -1]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[2, 1]], [[2, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-2, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630434
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 75, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ai1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[-1, 1]], [[-2, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[2, 0]], [[1, 1]], [[-1, 0]], [[-2, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, -1]], [[1, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[2, 1]], [[-1, -1]], [[-2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[1, 1]], [[2, -1]], [[1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630435
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 76, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ai2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[-1, -1]], [[-2, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[2, 0]], [[1, -1]], [[-1, 0]], [[-2, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1]], [[1, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[2, -1]], [[-1, 1]], [[-2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[1, -1]], [[2, 1]], [[1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630436
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 77, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2aj1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-2, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-1, 0]], [[-2, 1]], [[2, 0]], [[1, 1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, 1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[-2, 0]], [[-1, 0]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[2, 1]], [[-1, -1]], [[1, -1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-2, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, -1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[1, -1]], [[1, 1]], [[2, -1]], [[1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630437
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 78, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2aj2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-2, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-1, 0]], [[-2, -1]], [[2, 0]], [[1, -1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, -1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[-2, 0]], [[-1, 0]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[2, -1]], [[-1, 1]], [[1, 1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-2, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[1, 1]], [[1, -1]], [[2, 1]], [[1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630438
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 79, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ak1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-1, 1]], [[1, 1]], [[2, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[2, -1]], [[1, 1]], [[1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-2, 0]], [[1, 0]], [[-1, 1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[2, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630440
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 80, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2ak2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-1, -1]], [[1, -1]], [[2, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[2, 1]], [[1, -1]], [[1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-2, 0]], [[1, 0]], [[-1, -1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[2, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630441
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 81, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2al1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[2, -1]], [[-2, 1]], [[-2, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[2, 1]], [[2, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, -1]], [[-2, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-1, 1]], [[1, -1]], [[2, 1]], [[-2, 1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-2, -1]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[2, 1]], [[-2, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630442
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 82, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2al2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[2, 1]], [[-2, -1]], [[-2, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[2, -1]], [[2, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1]], [[-2, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[2, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-1, -1]], [[1, 1]], [[2, -1]], [[-2, -1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-2, 1]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[2, -1]], [[-2, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630443
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 83, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2am1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-2, 1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-2, 1]], [[1, 1]], [[2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[2, 1]], [[-1, -1]], [[1, 0]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, -1]], [[1, 0]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-1, -1]], [[1, 0]], [[-2, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[2, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630444
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 84, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2am2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-2, -1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-2, -1]], [[1, -1]], [[2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[2, -1]], [[-1, 1]], [[1, 0]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 1]], [[1, 0]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-1, 1]], [[1, 0]], [[-2, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[2, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630445
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 85, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2an1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-1, 1]], [[-2, 1]], [[-1, 0]], [[2, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[1, 1]], [[-2, 1]], [[2, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[2, 1]], [[-1, -1]], [[-2, 0]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[2, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, -1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, -1]], [[1, -1]], [[-2, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[-1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630446
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 86, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.d1', 'kernel_order': 12, 'label': '432.719.2an2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-1, -1]], [[-2, -1]], [[-1, 0]], [[2, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[1, -1]], [[-2, -1]], [[2, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[2, -1]], [[-1, 1]], [[-2, 0]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[2, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, 1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-2, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[-1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630447
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 87, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ao1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[1, 1]], [[-1, 1]], [[-2, 0]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[2, -1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[1, -1]], [[1, 0]], [[2, 0]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-2, 1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, -1]], [[1, -1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-2, 0]], [[1, 0]], [[-1, 1]], [[-2, 0]], [[1, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-1, -1]], [[2, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1]], [[-1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[2, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-2, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630448
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 88, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ao2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[1, -1]], [[-1, -1]], [[-2, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[2, 1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[1, 1]], [[1, 0]], [[2, 0]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-2, -1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 1]], [[1, 1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-2, 0]], [[1, 0]], [[-1, -1]], [[-2, 0]], [[1, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-1, 1]], [[2, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, -1]], [[-1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[2, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-2, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630449
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 89, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ap1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-2, 1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-2, -1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[1, -1]], [[-2, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-2, 1]], [[-2, -1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[2, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, -1]], [[-2, -1]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, -1]], [[2, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-2, 1]], [[-1, -1]], [[-2, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[1, -1]], [[-2, 1]], [[2, 1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[2, -1]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[2, 1]], [[2, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630451
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 90, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ap2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-2, -1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-2, 1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[1, 1]], [[-2, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-2, -1]], [[-2, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[2, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1]], [[-2, 1]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1]], [[2, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[2, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-2, -1]], [[-1, 1]], [[-2, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[1, 1]], [[-2, -1]], [[2, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[2, 1]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[2, -1]], [[2, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630452
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 91, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2aq1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[2, 1]], [[2, 0]], [[1, 1]], [[2, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[2, 0]], [[1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-2, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-2, 1]], [[1, -1]], [[-1, 0]], [[-2, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, -1]], [[-1, 0]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-1, -1]], [[1, 0]], [[-2, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[1, -1]], [[2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[2, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[-1, -1]], [[-2, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630453
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 92, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2aq2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[2, -1]], [[2, 0]], [[1, -1]], [[2, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[2, 0]], [[1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-2, -1]], [[1, 1]], [[-1, 0]], [[-2, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 1]], [[-1, 0]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-1, 1]], [[1, 0]], [[-2, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[1, 1]], [[2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[2, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[-1, 1]], [[-2, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630454
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 93, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ar1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[1, 1]], [[2, 1]], [[1, 0]], [[-2, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-2, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-1, 0]], [[-2, 1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[-2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-2, 1]], [[1, -1]], [[2, 0]], [[1, 1]], [[-2, 0]], [[-1, 0]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[2, 1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[1, -1]], [[-1, -1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[2, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[2, -1]], [[1, -1]], [[-2, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-2, -1]], [[1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630455
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 94, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 12, 'label': '432.719.2ar2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[1, -1]], [[2, -1]], [[1, 0]], [[-2, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-2, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-1, 0]], [[-2, -1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[-2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-2, -1]], [[1, 1]], [[2, 0]], [[1, -1]], [[-2, 0]], [[-1, 0]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[2, -1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[1, 1]], [[-1, 1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[2, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-2, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-2, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-2, 1]], [[1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630456
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 95, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2as1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[-2, 1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 0]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, -1]], [[2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[-1, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630457
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 96, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2as2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[2, 0], [1, 1]], [[1, -1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 0]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 1]], [[2, 0], [1, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 1]], [[2, -1]], [[-2, 0], [-1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630458
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 97, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2at1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[-2, -1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[-2, 1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 0]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, -1]], [[2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630459
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 98, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2at2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[-1, 0]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 1]], [[2, -1]], [[2, 0], [1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630460
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 99, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2au1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[-1, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-1, 1]], [[2, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 1]], [[0, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[2, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630337
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 100, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2au2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[-1, -1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[2, 0], [1, 1]], [[2, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 1]], [[-1, -1]], [[0, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[2, -1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[2, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, -1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630338
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 101, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2av1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[-1, 1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[1, 0]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [1, 1]], [[2, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[-1, 1]], [[0, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[2, -1]], [[2, 0], [1, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630339
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 102, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2av2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[-1, -1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[1, 1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-2, 0], [-1, 1]], [[2, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 1]], [[-1, -1]], [[0, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[2, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[2, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[-2, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630340
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 103, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2aw1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[1, 0]], [[2, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [1, 1]], [[-1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630341
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 104, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2aw2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[-2, 0]], [[-1, 0], [1, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[2, -1]], [[1, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 1]], [[2, 0], [1, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[-2, 0], [-1, 1]], [[-1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, -1]], [[1, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630342
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 105, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ax1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[2, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [-1, 1]], [[-1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[2, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630343
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 106, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ax2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[-2, -1]], [[-2, 0]], [[1, 0], [-1, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[2, -1]], [[1, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0], [1, 1]], [[-1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[1, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630344
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 107, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ay1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 1]], [[-2, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[2, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, -1]], [[1, 0], [-1, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [-1, 1]], [[-1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, -1]], [[-1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[-1, 0], [1, 1]], [[2, -1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630345
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 108, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ay2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[2, -1]], [[1, 0], [2, 1]], [[0, 0]], [[1, -1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, -1]], [[-2, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 1]], [[2, 0], [1, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[2, 0], [1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630346
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 109, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2az1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 1]], [[-2, 1]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 0]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, -1]], [[-1, 0], [1, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [1, 1]], [[-1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, -1]], [[-1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0], [-1, 1]], [[2, -1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630348
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 110, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2az2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[2, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, -1]], [[-2, -1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 1]], [[-2, 0], [-1, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-2, 0], [-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[2, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, -1]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630380
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 26, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 72, 'label': '432.719.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630349
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 111, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ba1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-2, 1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, -1]], [[-2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[2, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[-1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630350
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 112, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2ba2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 1]], [[2, 0], [1, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-1, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, -1]], [[-2, 0], [-1, 1]], [[1, 1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630351
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 113, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bb1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[-1, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[1, 0], [2, 1]], [[-2, -1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-2, 1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, -1]], [[-2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 1]], [[-1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630352
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 114, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bb2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, -1]], [[2, 0], [1, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, -1]], [[-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630353
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 115, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bc1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[-1, -1]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[0, 0]], [[2, 1]], [[2, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-1, 1]], [[-2, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 1]], [[0, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[2, -1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630354
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 116, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bc2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[-1, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[0, 0]], [[2, -1]], [[2, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[2, 0], [1, 1]], [[-2, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[1, -1]], [[0, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-2, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-2, 0], [-1, 1]], [[1, 1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[2, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[2, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630355
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 117, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bd1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[-1, -1]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[0, 0]], [[2, 1]], [[2, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[2, 0], [1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [1, 1]], [[-2, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[0, 0]], [[-1, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[2, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-1, 0], [1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630356
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 118, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bd2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[-1, 1]], [[1, 0], [2, 1]], [[1, 1]], [[2, 0], [1, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[0, 0]], [[2, -1]], [[2, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [1, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-2, 0], [-1, 1]], [[-2, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, -1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[2, 0], [1, 1]], [[-1, 1]], [[1, -1]], [[0, 0]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-2, -1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[2, 0], [1, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [2, 1]], [[-2, -1]], [[2, 1]], [[-1, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630357
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 119, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2be1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[2, 1]], [[2, 0]], [[2, 0], [1, 1]], [[2, -1]], [[1, 0], [2, 1]], [[1, -1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[1, 0]], [[-2, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0], [-1, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630359
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 120, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2be2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[2, -1]], [[2, 0]], [[1, 0], [-1, 1]], [[2, 1]], [[-1, 0], [-2, 1]], [[1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[-2, -1]], [[-1, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, -1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[-1, 1]], [[1, -1]], [[2, 0], [1, 1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, -1]], [[-1, 1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630360
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 121, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bf1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[2, 1]], [[2, 0]], [[-2, 0], [-1, 1]], [[2, -1]], [[-1, 0], [-2, 1]], [[1, -1]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[-2, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0], [1, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630361
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 122, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bf2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[2, -1]], [[2, 0]], [[-1, 0], [1, 1]], [[2, 1]], [[1, 0], [2, 1]], [[1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[-2, -1]], [[-1, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[-1, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[-2, -1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, -1]], [[-1, 1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630362
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 123, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bg1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 0], [-1, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[0, 0]], [[1, -1]], [[-1, 0], [1, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 1]], [[2, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[-2, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, -1]], [[1, 0], [-1, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [-1, 1]], [[1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[2, -1]], [[1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[1, 0], [-1, 1]], [[-2, -1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630363
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 124, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bg2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-1, 0], [1, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[0, 0]], [[1, 1]], [[-2, 0], [-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, -1]], [[2, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[2, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[-2, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 1]], [[2, 0], [1, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[2, 0], [1, 1]], [[1, 0]], [[1, 1]], [[1, 0], [-1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, 1]], [[1, -1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[1, 0], [-1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[2, 0], [1, 1]], [[-2, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, -1]], [[-1, 1]], [[1, 0], [-1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630364
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 125, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bh1', 'nt': [12, 42], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[2, 0], [1, 1]], [[-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-2, 0], [-1, 1]], [[-1, -1]], [[0, 0]], [[1, -1]], [[1, 0], [-1, 1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 1]], [[2, 1]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[-2, 0]], [[2, 0], [1, 1]], [[0, 0]], [[1, 0]], [[2, 0], [1, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, -1]], [[-1, 0], [1, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [1, 1]], [[1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[2, 0], [1, 1]], [[1, -1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 1]], [[-1, 0], [-2, 1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[2, -1]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0], [1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 1]], [[-1, 1]], [[-1, 0], [1, 1]], [[-2, -1]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[0, 0]], [[1, 0], [-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630365
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 126, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '72.30', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 6, 'label': '432.719.2bh2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[1, 0], [-1, 1]], [[-2, -1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [[0, 0]], [[1, 1]], [[2, 0], [1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, -1]], [[2, -1]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-2, 0], [-1, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[-2, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0]], [[1, 0], [-1, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 1]], [[-2, 0], [-1, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 0], [-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, -1]], [[1, 0], [2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[-2, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[2, 1]], [[1, -1]], [[-2, 0], [-1, 1]], [[1, -1]], [[0, 0]], [[-1, 0], [1, 1]], [[1, -1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[2, 0], [1, 1]], [[-1, -1]], [[-2, 0], [-1, 1]], [[-2, 1]], [[2, 0], [1, 1]], [[0, 0]], [[1, -1]], [[-1, 1]], [[-1, 0], [1, 1]], [[0, 0]], [[2, 0], [1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630381
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 27, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 72, 'label': '432.719.2c', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630382
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 28, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 72, 'label': '432.719.2d', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630383
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 29, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 54, 'label': '432.719.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630385
    {'center': '4.a1', 'center_index': 4, 'center_order': 108, 'counter': 30, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 54, 'label': '432.719.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630386
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 31, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 36, 'label': '432.719.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630387
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 32, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 36, 'label': '432.719.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630388
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  • id: 4630389
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  • id: 4630390
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  • id: 4630391
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  • id: 4630392
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  • id: 4630393
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  • id: 4630394
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  • id: 4630396
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  • id: 4630397
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  • id: 4630398
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 36, 'label': '432.719.2r', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630399
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 43, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2s1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630400
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 44, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2s2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630401
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 45, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2t1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630402
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 46, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2t2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630403
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 47, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2u1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630404
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 48, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2u2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630405
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 49, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2v1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630407
    {'center': '6.a1', 'center_index': 6, 'center_order': 72, 'counter': 50, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.b1', 'kernel_order': 24, 'label': '432.719.2v2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630408
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 51, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2w1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630409
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 52, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2w2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630410
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 53, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2x1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630411
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 54, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2x2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630412
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 55, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2y1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630413
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 56, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2y2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[2, 0]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630414
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 57, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2z1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 4630415
    {'center': '12.a1', 'center_index': 12, 'center_order': 36, 'counter': 58, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '432.719', 'group_counter': 719, 'group_order': 432, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 18, 'label': '432.719.2z2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-2, 0]], [[0, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0]], [[1, 0], [2, 1]], [[2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[1, 0]], [[2, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[0, 0]], [[1, 0], [2, 1]], [[-2, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 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: 58400258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 432, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '432.719.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '432.719', 'subgroup_hash': 719, 'subgroup_order': 432, 'subgroup_tex': 'C_6^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58400282
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 216, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '216.177', 'subgroup_hash': 177, 'subgroup_order': 216, 'subgroup_tex': 'C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 58400293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 216, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '216.175', 'subgroup_hash': 175, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 216, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '216.143', 'subgroup_hash': 143, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 216, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.719.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '216.144', 'subgroup_hash': 144, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': True, 'core_order': 144, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.719.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.177', 'subgroup_hash': 177, 'subgroup_order': 144, 'subgroup_tex': 'C_6^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 72, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.3.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.167', 'subgroup_hash': 167, 'subgroup_order': 144, 'subgroup_tex': 'C_6^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400348
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 108, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '108.45', 'subgroup_hash': 45, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 108, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '108.45', 'subgroup_hash': 45, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 108, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '108.43', 'subgroup_hash': 43, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 108, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '108.33', 'subgroup_hash': 33, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58400274
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 54, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.45', 'subgroup_hash': 45, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 54, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.43', 'subgroup_hash': 43, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400276
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 72, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.50', 'subgroup_hash': 50, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400277
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 72, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.50', 'subgroup_hash': 50, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 72, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.49', 'subgroup_hash': 49, 'subgroup_order': 72, 'subgroup_tex': 'C_6:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400279
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 72, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.34', 'subgroup_hash': 34, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': False, 'core_order': 72, 'counter': 18, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '432.719.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.35', 'subgroup_hash': 35, 'subgroup_order': 72, 'subgroup_tex': 'C_6^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58400281
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 24, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.50', 'subgroup_hash': 50, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.48', 'subgroup_hash': 48, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.6.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.29', 'subgroup_hash': 29, 'subgroup_order': 72, 'subgroup_tex': 'C_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58400285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58400286
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 54, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400287
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 54, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400288
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 27, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 27, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.13', 'subgroup_hash': 13, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 36, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400294
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 36, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400295
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 36, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400296
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 36, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 36, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400299
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400300
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400301
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400303
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400305
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400306
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400307
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58400309
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 27, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '432.719.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 3}
  • id: 58400310
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 24, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400311
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 24, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400312
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400313
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400316
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58400317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.18.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400320
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400321
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 18, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400328
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 9, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 9, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '432.719.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 2}
  • id: 58400333
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 12, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400335
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400336
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400338
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400339
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400340
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400341
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400342
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400344
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400345
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400347
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.36.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 58400349
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.36.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 58400350
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400351
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 9, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 58400354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 58400355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.54.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': 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: 58400356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.54.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': 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: 58400357
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 6, 'counter': 88, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.719.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.35', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400358
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.719.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400360
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 6, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.719.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400361
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.719.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400362
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400363
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400364
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400365
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400366
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400367
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 97, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.72.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 58400368
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 3, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.72.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 4, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.108.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.43', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:D_6', '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: 58400260
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '432.719.108.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '108.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.43', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 58400261
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.108.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 58400262
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.108.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 58400263
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '432.719.108.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 58400264
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.108.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 58400265
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 3, 'counter': 105, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.719.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.177', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 177, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:C_2^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400266
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 106, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.719.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 167, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:C_2^2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400267
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 58400268
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 2, 'counter': 108, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '432.719.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:C_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 58400269
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 2, 'counter': 109, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '432.719.216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.175', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:C_6', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], '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: 58400271
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.216.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, '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: 58400272
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '432.719.216.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, '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: 58400273
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '432.719', 'ambient_counter': 719, 'ambient_order': 432, 'ambient_tex': 'C_6^3:C_2', 'central': True, 'central_factor': False, 'centralizer_order': 432, 'characteristic': True, 'core_order': 1, 'counter': 112, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '432.719.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '432.719', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 719, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^3:C_2', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', '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: 58400317
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.38', 'aut_weyl_index': 576, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.h1', '9.b1'], 'contains': ['36.b1', '36.o1', '54.c1'], 'core': '36.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8391, -1, 7922, -1], 'generators': [1, 282, 216, 24], 'label': '432.719.18.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.g1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400318
    {'ambient': '432.719', 'aut_centralizer_order': 96, 'aut_label': '18.h1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3456, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.i1', '9.a1'], 'contains': ['36.c1', '36.l1', '36.n1', '54.d1'], 'core': '36.c1', 'coset_action_label': None, 'count': 36, 'diagramx': [9441, -1, 9447, -1], 'generators': [7, 36, 4, 216], 'label': '432.719.18.h1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.h1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58400258
    {'ambient': '432.719', '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': '36.a1', 'complements': ['432.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1', '3.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6353, 6905, 5722, 3800], 'generators': [1, 24, 216, 6, 144, 36, 4], 'label': '432.719.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400259
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 16, 'centralizer': '36.a1', 'complements': ['108.c1'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.b1', '8.d1', '12.e1', '12.n1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3080, 5856, 5394, 430], 'generators': [7, 144, 216, 4, 24], 'label': '432.719.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.b1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400260
    {'ambient': '432.719', 'aut_centralizer_order': 6912, 'aut_label': '108.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': ['4.f1'], 'conjugacy_class_count': 2, 'contained_in': ['36.c1', '36.d1', '36.k1', '54.a1', '54.d1'], 'contains': ['216.b1', '216.c1'], 'core': '108.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7081, 2928, 5214, 8850], 'generators': [36, 216], 'label': '432.719.108.b1', 'mobius_quo': 0, 'mobius_sub': -54, 'normal_closure': '108.b1', 'normal_contained_in': ['36.c1', '36.d1', '54.a1'], 'normal_contains': ['216.b1'], 'normalizer': '1.a1', 'old_label': '108.b1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '54.15', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '108.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400261
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '108.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.e1', '36.f1', '36.g1', '54.a1'], 'contains': ['216.a1', '216.c1'], 'core': '216.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4078, -1, 2934, -1], 'generators': [1, 36], 'label': '432.719.108.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '108.c1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400262
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.h1', '36.i1', '54.b1'], 'contains': ['216.a1', '216.d1'], 'core': '216.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3498, -1, 6122, -1], 'generators': [1, 6], 'label': '432.719.108.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1', 'old_label': '108.d1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400263
    {'ambient': '432.719', 'aut_centralizer_order': 768, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.l1', '36.m1', '54.b1', '54.d1'], 'contains': ['216.b1', '216.d1'], 'core': '216.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [6613, -1, 7686, -1], 'generators': [7, 216], 'label': '432.719.108.e1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '108.e1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400264
    {'ambient': '432.719', 'aut_centralizer_order': 768, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['36.n1', '36.o1', '54.c1', '54.d1'], 'contains': ['216.b1'], 'core': '216.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [9030, -1, 8596, -1], 'generators': [282], 'label': '432.719.108.f1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '108.f1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400265
    {'ambient': '432.719', 'aut_centralizer_order': 13824, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '72.a1', '72.c1', '72.g1', '72.j1'], 'contains': ['432.a1'], 'core': '144.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4388, 1591, 3981, 6426], 'generators': [4], 'label': '432.719.144.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1', '72.c1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '144.177', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.177', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400266
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '144.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.b1', '48.c1', '72.b1', '72.d1', '72.h1', '72.k1'], 'contains': ['432.a1'], 'core': '144.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1666, 4742, 3466, 6008], 'generators': [24], 'label': '432.719.144.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.a1', '48.b1', '72.b1', '72.d1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '432.719', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.50', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400267
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.c1', '72.e1', '72.f1', '72.i1'], 'contains': ['432.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3026, -1, 2795, -1], 'generators': [28], 'label': '432.719.144.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '144.c1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400268
    {'ambient': '432.719', 'aut_centralizer_order': 13824, 'aut_label': '216.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': ['2.d1'], 'conjugacy_class_count': 2, 'contained_in': ['72.a1', '72.b1', '72.e1', '108.a1', '108.c1', '108.d1'], 'contains': ['432.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3777, 2877, 3650, 6845], 'generators': [1], 'label': '432.719.216.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '216.a1', 'normal_contained_in': ['72.a1', '72.b1', '108.a1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '216.a1', 'projective_image': '216.144', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.144', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400269
    {'ambient': '432.719', 'aut_centralizer_order': 27648, 'aut_label': '216.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '72.d1', '72.f1', '108.a1', '108.b1', '108.e1', '108.f1'], 'contains': ['432.a1'], 'core': '216.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6422, 3571, 5316, 7263], 'generators': [216], 'label': '432.719.216.b1', 'mobius_quo': -1, 'mobius_sub': 216, 'normal_closure': '216.b1', 'normal_contained_in': ['72.c1', '72.d1', '108.a1', '108.b1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '216.b1', 'projective_image': '216.175', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.175', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400270
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 16, 'centralizer': '36.a1', 'complements': ['108.c1', '108.d1'], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1'], 'contains': ['8.b1', '12.f1', '12.o1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7439, 7224, 6585, 3207], 'generators': [66, 144, 4, 216, 24], 'label': '432.719.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1'], 'normal_contains': ['8.b1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400271
    {'ambient': '432.719', 'aut_centralizer_order': 6912, 'aut_label': '216.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 27648, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.g1', '72.h1', '72.i1', '108.b1', '108.c1'], 'contains': ['432.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4110, -1, 3183, -1], 'generators': [36], 'label': '432.719.216.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '216.c1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400272
    {'ambient': '432.719', 'aut_centralizer_order': 768, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '1.1', 'aut_weyl_index': 27648, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.j1', '72.k1', '108.d1', '108.e1'], 'contains': ['432.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3593, -1, 6122, -1], 'generators': [7], 'label': '432.719.216.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1', 'old_label': '216.d1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400273
    {'ambient': '432.719', 'aut_centralizer_order': None, 'aut_label': '432.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.b1', '144.c1', '216.a1', '216.b1', '216.c1', '216.d1'], 'contains': [], 'core': '432.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3777, 3227, 3650, 6636], 'generators': [], 'label': '432.719.432.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '432.a1', 'normal_contained_in': ['144.a1', '144.b1', '216.a1', '216.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '432.a1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400274
    {'ambient': '432.719', 'aut_centralizer_order': 36, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 144, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.c1', '12.g1', '12.h1', '12.i1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2391, -1, 1514, -1], 'generators': [1, 144, 36, 4, 24], 'label': '432.719.4.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.e1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400275
    {'ambient': '432.719', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 16, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.d1', '12.j1', '12.k1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1074, -1, 4123, -1], 'generators': [1, 144, 6, 4, 24], 'label': '432.719.4.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.f1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 58400276
    {'ambient': '432.719', 'aut_centralizer_order': 216, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.46', 'aut_weyl_index': 864, 'centralizer': '2.a1', 'complements': ['72.k1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '3.b1'], 'contains': ['12.a1', '12.c1', '12.g1', '18.a1', '18.b1', '18.c1'], 'core': '6.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6684, 1629, 4526, 8042], 'generators': [1, 24, 36, 216, 4], 'label': '432.719.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.c1', '18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400277
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.17972', 'aut_weyl_index': 72, 'centralizer': '2.a1', 'complements': ['72.j1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.i1', '18.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4158, 6129, 2939, 7130], 'generators': [1, 144, 36, 216, 24], 'label': '432.719.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.b1', '12.d1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400278
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '3456.in', 'aut_weyl_index': 8, 'centralizer': '36.a1', 'complements': ['72.g1', '72.i1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.b1', '12.e1', '12.k1', '18.e1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3450, 7466, 4953, 1458], 'generators': [1, 144, 6, 216, 24], 'label': '432.719.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.b1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400279
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '3456.in', 'aut_weyl_index': 8, 'centralizer': '36.a1', 'complements': ['72.g1', '72.i1', '72.j1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.f1', '18.g1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7113, 9624, 6117, 4300], 'generators': [1, 144, 282, 216, 24], 'label': '432.719.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.b1', '12.f1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400280
    {'ambient': '432.719', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 16, 'centralizer': '36.a1', 'complements': ['72.j1', '72.a1', '72.e1', '72.g1', '72.i1'], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.d1', '12.e1', '12.f1', '18.i1'], 'core': '6.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [6350, 8662, 5742, 2330], 'generators': [7, 144, 36, 216, 24], 'label': '432.719.6.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.d1', '12.e1', '12.f1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400281
    {'ambient': '432.719', 'aut_centralizer_order': 36, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['12.h1', '12.l1', '12.m1', '18.b1', '18.c1'], 'core': '18.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [5092, -1, 2492, -1], 'generators': [1, 24, 36, 216, 148], 'label': '432.719.6.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '6.f1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400282
    {'ambient': '432.719', 'aut_centralizer_order': 36, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1089273', 'aut_weyl_index': 36, 'centralizer': '2.a1', 'complements': ['216.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '6.a1', '6.b1', '6.f1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4549, 4480, 3330, 6217], 'generators': [1, 144, 24, 36, 216, 4], 'label': '432.719.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400283
    {'ambient': '432.719', 'aut_centralizer_order': 24, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.209', 'aut_weyl_index': 288, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '3.b1'], 'contains': ['12.a1', '12.j1', '12.n1', '18.d1', '18.e1'], 'core': '12.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5854, -1, 7080, -1], 'generators': [1, 24, 6, 216, 4], 'label': '432.719.6.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '6.g1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400284
    {'ambient': '432.719', 'aut_centralizer_order': 24, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.209', 'aut_weyl_index': 288, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.b1'], 'contains': ['12.a1', '12.o1', '18.f1', '18.g1'], 'core': '12.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8622, -1, 8380, -1], 'generators': [1, 24, 66, 4, 216], 'label': '432.719.6.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '6.h1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400285
    {'ambient': '432.719', 'aut_centralizer_order': 12, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '48.51', 'aut_weyl_index': 576, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['2.d1', '3.b1'], 'contains': ['12.c1', '12.n1', '12.o1', '18.h1', '18.i1'], 'core': '12.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [7740, -1, 7965, -1], 'generators': [7, 24, 36, 4, 216], 'label': '432.719.6.i1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '6.i1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400286
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': ['54.d1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.e1', '4.f1'], 'contains': ['16.a1', '24.a1', '24.b1', '24.e1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1074, 3538, 1708, 5224], 'generators': [1, 4, 24, 144], 'label': '432.719.8.a1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '24.a1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '72.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400287
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '8.b1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '24.c1', '24.d1', '24.f1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3038, 4538, 3906, 3818], 'generators': [216, 4, 24, 144], 'label': '432.719.8.b1', 'mobius_quo': 3, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '24.c1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400288
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.a1', '24.g1', '24.h1', '24.i1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2169, -1, 1318, -1], 'generators': [36, 4, 24, 144], 'label': '432.719.8.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.c1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400289
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 32, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.f1'], 'contains': ['16.a1', '24.j1', '24.k1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [368, -1, 4722, -1], 'generators': [7, 4, 24, 144], 'label': '432.719.8.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.d1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 58400290
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.202', 'aut_weyl_index': 432, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1'], 'contains': ['18.a1', '18.d1', '18.f1', '18.h1', '27.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9194, -1, 8770, -1], 'generators': [1, 216, 6, 36, 4], 'label': '432.719.9.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58400291
    {'ambient': '432.719', 'aut_centralizer_order': 12, 'aut_label': '9.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '192.1147', 'aut_weyl_index': 144, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.b1', '18.e1', '18.g1', '18.i1', '27.a1'], 'core': '18.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7893, -1, 7550, -1], 'generators': [1, 24, 6, 36, 216], 'label': '432.719.9.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.b1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400292
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3456, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.a1', '6.g1', '6.h1'], 'contains': ['24.a1', '24.c1', '36.a1', '36.b1', '36.j1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6316, 1807, 5234, 6734], 'generators': [1, 216, 4, 24], 'label': '432.719.12.a1', 'mobius_quo': 2, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.c1', '36.a1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400293
    {'ambient': '432.719', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6912.ht', 'aut_weyl_index': 4, 'centralizer': '36.a1', 'complements': ['216.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.f1', '6.c1', '6.g1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3816, 5537, 4953, 1458], 'generators': [1, 144, 24, 6, 216, 4], 'label': '432.719.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400294
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '12.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.b1', '6.c1', '6.d1'], 'contains': ['24.b1', '24.d1', '36.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3704, 6530, 3608, 4515], 'generators': [1, 216, 24, 144], 'label': '432.719.12.b1', 'mobius_quo': 6, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.a1', '6.b1', '6.c1', '6.d1'], 'normal_contains': ['24.b1', '24.d1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400295
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3456, 'centralizer': '2.a1', 'complements': ['36.i1'], 'conjugacy_class_count': 8, 'contained_in': ['4.b1', '6.a1', '6.i1'], 'contains': ['24.c1', '24.g1', '36.c1', '36.d1', '36.k1'], 'core': '12.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [6736, 2533, 5030, 7298], 'generators': [36, 216, 4, 24], 'label': '432.719.12.c1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.c1', '36.c1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400296
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '12.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': ['36.h1'], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.b1', '6.e1'], 'contains': ['24.d1', '24.i1', '36.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3908, 6008, 3011, 6217], 'generators': [36, 216, 24, 144], 'label': '432.719.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.b1', '6.b1', '6.e1'], 'normal_contains': ['24.d1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400297
    {'ambient': '432.719', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 32, 'centralizer': '36.a1', 'complements': ['36.e1', '36.g1'], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '6.c1', '6.e1'], 'contains': ['24.d1', '24.k1', '36.m1'], 'core': '12.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3303, 7389, 5543, 1906], 'generators': [7, 216, 24, 144], 'label': '432.719.12.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1', 'normal_contained_in': ['4.c1', '6.c1', '6.e1'], 'normal_contains': ['24.d1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400298
    {'ambient': '432.719', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 32, 'centralizer': '36.a1', 'complements': ['36.e1', '36.g1', '36.h1'], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '6.d1', '6.e1'], 'contains': ['24.d1', '36.o1'], 'core': '12.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7162, 8427, 6617, 3033], 'generators': [282, 216, 24, 144], 'label': '432.719.12.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1', 'normal_contained_in': ['4.d1', '6.d1', '6.e1'], 'normal_contains': ['24.d1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400299
    {'ambient': '432.719', 'aut_centralizer_order': 216, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3456, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.e1', '6.a1'], 'contains': ['24.a1', '24.g1', '36.e1', '36.f1', '36.g1'], 'core': '24.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [4110, -1, 2007, -1], 'generators': [1, 36, 4, 24], 'label': '432.719.12.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.g1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400300
    {'ambient': '432.719', 'aut_centralizer_order': 36, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.e1', '6.f1'], 'contains': ['24.e1', '24.h1', '36.f1', '36.g1'], 'core': '72.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [2461, -1, 816, -1], 'generators': [1, 36, 148, 24], 'label': '432.719.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.h1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400301
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.b1'], 'contains': ['24.b1', '24.i1', '36.f1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1398, -1, 1020, -1], 'generators': [1, 36, 24, 144], 'label': '432.719.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.i1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400302
    {'ambient': '432.719', 'aut_centralizer_order': 24, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.f1', '6.g1'], 'contains': ['24.a1', '24.j1', '36.h1', '36.i1'], 'core': '24.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1668, -1, 5918, -1], 'generators': [1, 6, 4, 24], 'label': '432.719.12.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '12.j1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 58400303
    {'ambient': '432.719', 'aut_centralizer_order': 8, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 32, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '6.c1'], 'contains': ['24.b1', '24.k1', '36.i1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [809, -1, 4309, -1], 'generators': [1, 6, 24, 144], 'label': '432.719.12.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '12.k1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 58400304
    {'ambient': '432.719', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6912.ht', 'aut_weyl_index': 4, 'centralizer': '36.a1', 'complements': ['216.c1', '216.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '6.d1', '6.h1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7160, 8103, 6423, 4892], 'generators': [1, 144, 24, 66, 4, 216], 'label': '432.719.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400305
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.f1'], 'contains': ['24.e1', '24.f1', '36.b1', '36.j1'], 'core': '36.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [4514, -1, 2415, -1], 'generators': [1, 216, 148, 24], 'label': '432.719.12.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.l1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400306
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.b1', '6.f1'], 'contains': ['24.f1', '24.h1', '36.d1', '36.k1'], 'core': '36.d1', 'coset_action_label': None, 'count': 16, 'diagramx': [4752, -1, 2211, -1], 'generators': [36, 216, 148, 24], 'label': '432.719.12.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.m1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400307
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.c1', '6.g1', '6.i1'], 'contains': ['24.c1', '24.j1', '36.l1', '36.m1'], 'core': '24.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [5629, -1, 7316, -1], 'generators': [7, 216, 4, 24], 'label': '432.719.12.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '12.n1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400308
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.d1', '6.h1', '6.i1'], 'contains': ['24.c1', '36.n1', '36.o1'], 'core': '24.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [8643, -1, 8338, -1], 'generators': [66, 4, 216, 24], 'label': '432.719.12.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '12.o1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400309
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 288, 'centralizer': '2.a1', 'complements': ['27.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1'], 'contains': ['48.a1', '48.b1', '48.c1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [180, 4678, 2109, 3806], 'generators': [4, 24, 144], 'label': '432.719.16.a1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['48.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '144.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400310
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1728, 'centralizer': '2.a1', 'complements': ['24.k1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '36.c1', '36.e1', '54.a1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8886, 1063, 6281, 9047], 'generators': [1, 36, 216, 4], 'label': '432.719.18.a1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['36.a1', '36.c1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400311
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '18.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1728, 'centralizer': '2.a1', 'complements': ['24.j1'], 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.b1', '6.f1', '9.b1'], 'contains': ['36.b1', '36.d1', '36.f1', '54.a1'], 'core': '18.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4990, 4194, 3310, 7995], 'generators': [1, 36, 216, 24], 'label': '432.719.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1', '6.b1'], 'normal_contains': ['36.b1', '36.d1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400312
    {'ambient': '432.719', 'aut_centralizer_order': 216, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1728, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.f1'], 'contains': ['36.g1', '36.j1', '36.k1', '54.a1'], 'core': '54.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6709, -1, 2713, -1], 'generators': [1, 36, 216, 28], 'label': '432.719.18.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '18.c1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400313
    {'ambient': '432.719', 'aut_centralizer_order': 192, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1728, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1', '9.a1'], 'contains': ['36.a1', '36.h1', '36.l1', '54.b1'], 'core': '36.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7477, -1, 8740, -1], 'generators': [1, 6, 216, 4], 'label': '432.719.18.d1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.d1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400314
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.38', 'aut_weyl_index': 576, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.g1', '9.b1'], 'contains': ['36.b1', '36.i1', '36.m1', '54.b1'], 'core': '36.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5568, -1, 6953, -1], 'generators': [1, 6, 216, 24], 'label': '432.719.18.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.e1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400315
    {'ambient': '432.719', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '3456.ks', 'aut_weyl_index': 8, 'centralizer': '36.a1', 'complements': ['216.d1', '216.a1', '216.c1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '6.e1', '6.i1'], 'core': '2.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [6212, 6905, 5956, 2708], 'generators': [7, 144, 24, 36, 4, 216], 'label': '432.719.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '6.e1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400316
    {'ambient': '432.719', 'aut_centralizer_order': 192, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1728, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1', '9.a1'], 'contains': ['36.a1', '36.n1', '54.c1'], 'core': '36.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9910, -1, 9820, -1], 'generators': [1, 66, 4, 216], 'label': '432.719.18.f1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.f1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400319
    {'ambient': '432.719', 'aut_centralizer_order': 24, 'aut_label': '18.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 1152, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['6.e1', '6.i1', '9.b1'], 'contains': ['36.d1', '36.m1', '36.o1', '54.d1'], 'core': '36.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [8069, -1, 7599, -1], 'generators': [7, 36, 216, 24], 'label': '432.719.18.i1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.i1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.i1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400320
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': ['18.i1'], 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '12.a1', '12.g1', '12.j1'], 'contains': ['48.a1', '72.a1', '72.b1', '72.e1'], 'core': '24.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1760, 1909, 2718, 5229], 'generators': [1, 4, 24], 'label': '432.719.24.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1'], 'normal_contains': ['48.a1', '72.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '72.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400321
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '48.29', 'aut_weyl_index': 576, 'centralizer': '2.a1', 'complements': ['18.h1'], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '12.b1', '12.i1', '12.k1'], 'contains': ['48.b1', '72.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [561, 6339, 1838, 4439], 'generators': [1, 24, 144], 'label': '432.719.24.b1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.b1'], 'normal_contains': ['48.b1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '216.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400322
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '24.c1', 'aut_quo_index': 6, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.a1', '12.c1', '12.n1', '12.o1'], 'contains': ['48.a1', '72.c1', '72.d1', '72.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [6355, 2775, 6035, 6020], 'generators': [216, 4, 24], 'label': '432.719.24.c1', 'mobius_quo': -1, 'mobius_sub': 24, 'normal_closure': '24.c1', 'normal_contained_in': ['8.b1', '12.a1', '12.c1'], 'normal_contains': ['48.a1', '72.c1', '72.d1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400323
    {'ambient': '432.719', 'aut_centralizer_order': 576, 'aut_label': '24.d1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.b1', '12.d1', '12.e1', '12.f1'], 'contains': ['48.b1', '72.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3147, 7205, 4747, 3173], 'generators': [216, 24, 144], 'label': '432.719.24.d1', 'mobius_quo': -3, 'mobius_sub': 8, 'normal_closure': '24.d1', 'normal_contained_in': ['8.b1', '12.b1', '12.d1', '12.e1', '12.f1'], 'normal_contains': ['48.b1', '72.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400324
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '12.h1', '12.l1'], 'contains': ['48.c1', '72.b1', '72.e1'], 'core': '72.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2097, -1, 485, -1], 'generators': [1, 148, 24], 'label': '432.719.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.e1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400325
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.l1', '12.m1'], 'contains': ['48.c1', '72.d1', '72.f1'], 'core': '72.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [4010, -1, 3056, -1], 'generators': [216, 148, 24], 'label': '432.719.24.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.f1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400326
    {'ambient': '432.719', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '13824.kv', 'aut_weyl_index': 2, 'centralizer': '36.a1', 'complements': ['144.a1', '144.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.b1', '6.c1', '6.d1', '6.e1', '9.b1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6491, 8872, 5488, 3800], 'generators': [1, 144, 24, 6, 36, 216], 'label': '432.719.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.b1', '6.c1', '6.d1', '6.e1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '108.43', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 58400327
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.c1', '12.c1', '12.g1'], 'contains': ['48.a1', '72.g1', '72.h1', '72.i1'], 'core': '48.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3484, -1, 2380, -1], 'generators': [36, 4, 24], 'label': '432.719.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.g1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400328
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.c1', '12.h1', '12.m1'], 'contains': ['48.c1', '72.h1', '72.i1'], 'core': '144.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [2434, -1, 147, -1], 'generators': [36, 148, 24], 'label': '432.719.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.h1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400329
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.29', 'aut_weyl_index': 576, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.d1', '12.i1'], 'contains': ['48.b1', '72.h1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [992, -1, 1499, -1], 'generators': [36, 24, 144], 'label': '432.719.24.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.i1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400330
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.d1', '12.j1', '12.n1'], 'contains': ['48.a1', '72.j1', '72.k1'], 'core': '48.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1423, -1, 6373, -1], 'generators': [7, 4, 24], 'label': '432.719.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.j1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 58400331
    {'ambient': '432.719', 'aut_centralizer_order': 16, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '432.734', 'aut_weyl_index': 64, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.e1', '12.k1'], 'contains': ['48.b1', '72.k1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [90, -1, 5573, -1], 'generators': [7, 24, 144], 'label': '432.719.24.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.k1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 58400332
    {'ambient': '432.719', 'aut_centralizer_order': 96, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.27', 'aut_weyl_index': 864, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1'], 'contains': ['54.a1', '54.b1', '54.c1', '54.d1'], 'core': '54.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9142, -1, 9106, -1], 'generators': [1, 6, 36], 'label': '432.719.27.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '27.a1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58400333
    {'ambient': '432.719', 'aut_centralizer_order': 6912, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '18.a1', '18.d1', '18.f1'], 'contains': ['72.a1', '72.c1', '108.a1'], 'core': '36.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7700, 376, 7050, 8391], 'generators': [1, 216, 4], 'label': '432.719.36.a1', 'mobius_quo': -2, 'mobius_sub': 54, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1'], 'normal_contains': ['72.a1', '72.c1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '36.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.13', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400334
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.b1', '12.l1', '18.b1', '18.e1', '18.g1'], 'contains': ['72.b1', '72.d1', '108.a1'], 'core': '36.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5010, 4372, 5085, 6810], 'generators': [1, 216, 24], 'label': '432.719.36.b1', 'mobius_quo': -2, 'mobius_sub': 6, 'normal_closure': '36.b1', 'normal_contained_in': ['12.a1', '12.b1', '18.b1'], 'normal_contains': ['72.b1', '72.d1', '108.a1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400335
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': ['12.k1'], 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '18.a1', '18.h1'], 'contains': ['72.c1', '72.g1', '108.b1'], 'core': '36.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8532, 1724, 6711, 9180], 'generators': [36, 216, 4], 'label': '432.719.36.c1', 'mobius_quo': 0, 'mobius_sub': 54, 'normal_closure': '36.c1', 'normal_contained_in': ['12.c1', '18.a1'], 'normal_contains': ['72.c1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400336
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '36.d1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': ['12.j1'], 'conjugacy_class_count': 8, 'contained_in': ['12.c1', '12.d1', '12.m1', '18.b1', '18.i1'], 'contains': ['72.d1', '72.h1', '108.b1'], 'core': '36.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [4621, 5239, 4409, 7600], 'generators': [36, 216, 24], 'label': '432.719.36.d1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.d1', 'normal_contained_in': ['12.c1', '12.d1', '18.b1'], 'normal_contains': ['72.d1', '108.b1'], 'normalizer': '1.a1', 'old_label': '36.d1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400337
    {'ambient': '432.719', 'aut_centralizer_order': 6, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '384.18491', 'aut_weyl_index': 72, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.g1', '6.h1', '6.i1', '9.a1', '9.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7908, -1, 7550, -1], 'generators': [1, 24, 216, 6, 36, 4], 'label': '432.719.3.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '3.b1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400338
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '18.a1'], 'contains': ['72.a1', '72.g1', '108.c1'], 'core': '72.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5748, -1, 4071, -1], 'generators': [1, 36, 4], 'label': '432.719.36.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.e1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400339
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.g1', '12.h1', '12.i1', '18.b1'], 'contains': ['72.b1', '72.h1', '108.c1'], 'core': '72.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2992, -1, 1161, -1], 'generators': [1, 36, 24], 'label': '432.719.36.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.f1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400340
    {'ambient': '432.719', 'aut_centralizer_order': 216, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.g1', '12.h1', '18.c1'], 'contains': ['72.e1', '72.i1', '108.c1'], 'core': '216.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3423, -1, 823, -1], 'generators': [1, 36, 28], 'label': '432.719.36.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.g1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400341
    {'ambient': '432.719', 'aut_centralizer_order': 192, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '18.d1'], 'contains': ['72.a1', '72.j1', '108.d1'], 'core': '72.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3759, -1, 7567, -1], 'generators': [1, 6, 4], 'label': '432.719.36.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1', 'old_label': '36.h1', 'projective_image': '72.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400342
    {'ambient': '432.719', 'aut_centralizer_order': 48, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.j1', '12.k1', '18.e1'], 'contains': ['72.b1', '72.k1', '108.d1'], 'core': '72.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [1133, -1, 5776, -1], 'generators': [1, 6, 24], 'label': '432.719.36.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '36.i1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.i1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 58400343
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '36.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.l1', '18.c1'], 'contains': ['72.e1', '72.f1', '108.a1'], 'core': '108.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6704, -1, 3732, -1], 'generators': [1, 216, 28], 'label': '432.719.36.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.j1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400344
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '36.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.c1', '12.m1', '18.c1'], 'contains': ['72.f1', '72.i1', '108.b1'], 'core': '108.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [6368, -1, 3394, -1], 'generators': [36, 216, 28], 'label': '432.719.36.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.k1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400345
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '36.l1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.n1', '18.d1', '18.h1'], 'contains': ['72.c1', '72.j1', '108.e1'], 'core': '72.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [7269, -1, 8338, -1], 'generators': [7, 216, 4], 'label': '432.719.36.l1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.l1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400346
    {'ambient': '432.719', 'aut_centralizer_order': 96, 'aut_label': '36.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.e1', '12.n1', '18.e1', '18.i1'], 'contains': ['72.d1', '72.k1', '108.e1'], 'core': '72.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [5396, -1, 7308, -1], 'generators': [7, 216, 24], 'label': '432.719.36.m1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '36.m1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.m1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400347
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '36.n1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.o1', '18.f1', '18.h1'], 'contains': ['72.c1', '108.f1'], 'core': '72.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [9659, -1, 9133, -1], 'generators': [66, 4, 216], 'label': '432.719.36.n1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.n1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400348
    {'ambient': '432.719', 'aut_centralizer_order': 144, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '12.a1', '12.b1', '12.l1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3937, 3583, 3720, 5305], 'generators': [1, 144, 216, 4, 24], 'label': '432.719.4.a1', 'mobius_quo': -6, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '12.a1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400349
    {'ambient': '432.719', 'aut_centralizer_order': 96, 'aut_label': '36.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.o1', '18.g1', '18.i1'], 'contains': ['72.d1', '108.f1'], 'core': '72.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [8156, -1, 7850, -1], 'generators': [282, 216, 24], 'label': '432.719.36.o1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '36.o1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.o1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 58400350
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '2.a1', 'complements': ['9.b1'], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.a1', '24.c1', '24.g1', '24.j1'], 'contains': ['144.a1', '144.b1', '144.c1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1559, 2749, 3521, 5561], 'generators': [4, 24], 'label': '432.719.48.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.c1'], 'normal_contains': ['144.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '144.177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400351
    {'ambient': '432.719', 'aut_centralizer_order': 576, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 576, 'centralizer': '2.a1', 'complements': ['9.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.b1', '24.d1', '24.i1', '24.k1'], 'contains': ['144.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [482, 6422, 3317, 4125], 'generators': [24, 144], 'label': '432.719.48.b1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.a1', '24.b1', '24.d1'], 'normal_contains': ['144.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '432.719', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400352
    {'ambient': '432.719', 'aut_centralizer_order': 288, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2304, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.e1', '24.f1', '24.h1'], 'contains': ['144.b1', '144.c1'], 'core': '144.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2104, -1, 2148, -1], 'generators': [148, 24], 'label': '432.719.48.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.c1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400353
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '54.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3456, 'centralizer': '2.a1', 'complements': ['8.d1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.b1', '18.c1', '27.a1'], 'contains': ['108.a1', '108.b1', '108.c1'], 'core': '54.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7418, 2508, 5356, 9814], 'generators': [1, 36, 216], 'label': '432.719.54.a1', 'mobius_quo': 0, 'mobius_sub': 27, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '18.b1'], 'normal_contains': ['108.a1', '108.b1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '108.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '27.5', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400354
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '54.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3456, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1', '18.e1', '27.a1'], 'contains': ['108.a1', '108.d1', '108.e1'], 'core': '108.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6665, -1, 8067, -1], 'generators': [1, 6, 216], 'label': '432.719.54.b1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.b1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400355
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '54.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1', '18.g1', '27.a1'], 'contains': ['108.a1', '108.f1'], 'core': '108.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8963, -1, 8855, -1], 'generators': [1, 282], 'label': '432.719.54.c1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.c1', 'projective_image': '108.43', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400356
    {'ambient': '432.719', 'aut_centralizer_order': 192, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6912, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.h1', '18.i1', '27.a1'], 'contains': ['108.b1', '108.e1', '108.f1'], 'core': '108.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [9221, -1, 8596, -1], 'generators': [7, 36], 'label': '432.719.54.d1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.d1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 58400357
    {'ambient': '432.719', 'aut_centralizer_order': 6912, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': ['6.e1'], 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '36.a1', '36.e1', '36.h1'], 'contains': ['144.a1', '216.a1'], 'core': '72.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4779, 949, 4071, 6845], 'generators': [1, 4], 'label': '432.719.72.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '36.a1'], 'normal_contains': ['144.a1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '72.35', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.35', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400358
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '72.b1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': ['6.i1'], 'conjugacy_class_count': 8, 'contained_in': ['24.a1', '24.b1', '24.e1', '36.b1', '36.f1', '36.i1'], 'contains': ['144.b1', '216.a1'], 'core': '72.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1713, 4150, 3126, 6008], 'generators': [1, 24], 'label': '432.719.72.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.a1', '24.b1', '36.b1'], 'normal_contains': ['144.b1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '216.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.14', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400359
    {'ambient': '432.719', 'aut_centralizer_order': 72, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 144, 'centralizer': '2.a1', 'complements': ['108.d1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.b1', '8.c1', '12.c1', '12.d1', '12.m1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4549, 4583, 3330, 6217], 'generators': [36, 144, 216, 4, 24], 'label': '432.719.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.b1', '12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400360
    {'ambient': '432.719', 'aut_centralizer_order': 13824, 'aut_label': '72.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '36.a1', '36.c1', '36.l1', '36.n1'], 'contains': ['144.a1', '216.b1'], 'core': '72.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7269, 1406, 6453, 7263], 'generators': [216, 4], 'label': '432.719.72.c1', 'mobius_quo': 1, 'mobius_sub': -216, 'normal_closure': '72.c1', 'normal_contained_in': ['24.c1', '36.a1', '36.c1'], 'normal_contains': ['144.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': '72.49', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.49', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400361
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '72.d1', 'aut_quo_index': 6, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.c1', '24.d1', '24.f1', '36.b1', '36.d1', '36.m1', '36.o1'], 'contains': ['144.b1', '216.b1'], 'core': '72.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [4507, 4748, 5023, 6426], 'generators': [216, 24], 'label': '432.719.72.d1', 'mobius_quo': 1, 'mobius_sub': -24, 'normal_closure': '72.d1', 'normal_contained_in': ['24.c1', '24.d1', '36.b1', '36.d1'], 'normal_contains': ['144.b1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.d1', 'projective_image': '216.175', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.14', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 58400362
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.a1', '24.e1', '36.g1', '36.j1'], 'contains': ['144.c1', '216.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3108, -1, 2740, -1], 'generators': [1, 28], 'label': '432.719.72.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.e1', 'projective_image': '216.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400363
    {'ambient': '432.719', 'aut_centralizer_order': 1728, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.c1', '24.f1', '36.j1', '36.k1'], 'contains': ['144.c1', '216.b1'], 'core': '216.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [5951, -1, 3713, -1], 'generators': [216, 28], 'label': '432.719.72.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.f1', 'projective_image': '216.175', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400364
    {'ambient': '432.719', 'aut_centralizer_order': 3456, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '36.c1', '36.e1'], 'contains': ['144.a1', '216.c1'], 'core': '144.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4958, -1, 3892, -1], 'generators': [36, 4], 'label': '432.719.72.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.g1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400365
    {'ambient': '432.719', 'aut_centralizer_order': 864, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.h1', '24.i1', '36.d1', '36.f1'], 'contains': ['144.b1', '216.c1'], 'core': '144.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2409, -1, 2559, -1], 'generators': [36, 24], 'label': '432.719.72.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.h1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400366
    {'ambient': '432.719', 'aut_centralizer_order': 432, 'aut_label': '72.i1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.h1', '36.g1', '36.k1'], 'contains': ['144.c1', '216.c1'], 'core': '432.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3310, -1, 2380, -1], 'generators': [36, 28], 'label': '432.719.72.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.i1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400367
    {'ambient': '432.719', 'aut_centralizer_order': 384, 'aut_label': '72.j1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '18.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '36.h1', '36.l1'], 'contains': ['144.a1', '216.d1'], 'core': '144.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3930, -1, 6632, -1], 'generators': [7, 4], 'label': '432.719.72.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.d1', 'old_label': '72.j1', 'projective_image': '144.177', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 58400368
    {'ambient': '432.719', 'aut_centralizer_order': 96, 'aut_label': '72.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4608, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.k1', '36.i1', '36.m1'], 'contains': ['144.b1', '216.d1'], 'core': '144.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [784, -1, 5913, -1], 'generators': [7, 24], 'label': '432.719.72.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '72.k1', 'projective_image': '432.719', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.k1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 58400369
    {'ambient': '432.719', 'aut_centralizer_order': 13824, 'aut_label': '108.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '36.b1', '36.j1', '54.a1', '54.b1', '54.c1'], 'contains': ['216.a1', '216.b1'], 'core': '108.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6285, 2406, 5418, 7711], 'generators': [1, 216], 'label': '432.719.108.a1', 'mobius_quo': 2, 'mobius_sub': -54, 'normal_closure': '108.a1', 'normal_contained_in': ['36.a1', '36.b1', '54.a1'], 'normal_contains': ['216.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '108.a1', 'projective_image': '108.43', 'quotient_action_image': '1.1', 'quotient_action_kernel': '108.43', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}