Abstract group data - 1296.3545

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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': '36.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 3, 4, 2, 3, 4, 3, 12, 6, 2], 'aut_gens': [[1, 6, 36, 216], [1, 30, 36, 324], [109, 654, 36, 216], [591, 114, 792, 1264], [303, 678, 792, 38], [1, 6, 180, 360], [781, 114, 684, 972], [949, 858, 720, 544], [1, 78, 36, 216], [471, 858, 36, 686], [113, 798, 36, 1152], [109, 114, 36, 216]], 'aut_group': '6912.ia', 'aut_hash': 4930085545709402789, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6912, 'aut_permdeg': 17, 'aut_perms': [117536462679032, 107323182489600, 33895155995242, 26204272161409, 167160, 215780090007752, 42178028666329, 1960082040, 19164073411256, 107357709838863, 106015508125352], 'aut_phi_ratio': 16.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 2], [2, 6, 1, 1], [2, 9, 1, 1], [2, 18, 1, 1], [3, 1, 8, 1], [3, 2, 1, 1], [3, 2, 8, 1], [3, 8, 1, 1], [3, 8, 8, 1], [3, 16, 1, 1], [3, 16, 8, 1], [4, 6, 1, 1], [4, 18, 1, 1], [6, 3, 8, 2], [6, 6, 1, 1], [6, 6, 8, 2], [6, 9, 8, 1], [6, 12, 1, 1], [6, 12, 8, 1], [6, 18, 8, 1], [6, 24, 1, 1], [6, 24, 8, 1], [12, 6, 8, 1], [12, 12, 1, 1], [12, 12, 8, 1], [12, 18, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6.S_4^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '48.29', 'autcent_hash': 29, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '144.183', 'autcentquo_hash': 183, 'autcentquo_nilpotent': False, 'autcentquo_order': 144, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times S_4', 'cc_stats': [[1, 1, 1], [2, 3, 2], [2, 6, 1], [2, 9, 1], [2, 18, 1], [3, 1, 8], [3, 2, 9], [3, 8, 9], [3, 16, 9], [4, 6, 1], [4, 18, 1], [6, 3, 16], [6, 6, 17], [6, 9, 8], [6, 12, 9], [6, 18, 8], [6, 24, 9], [12, 6, 8], [12, 12, 9], [12, 18, 8]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '144.183', 'commutator_count': 1, 'commutator_label': '36.11', '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', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3545, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['24.12', 1], ['3.1', 2], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 2], [2, 6, 1, 1], [2, 9, 1, 1], [2, 18, 1, 1], [3, 1, 2, 4], [3, 2, 1, 1], [3, 2, 2, 4], [3, 8, 1, 1], [3, 8, 2, 4], [3, 16, 1, 1], [3, 16, 2, 4], [4, 6, 1, 1], [4, 18, 1, 1], [6, 3, 2, 8], [6, 6, 1, 1], [6, 6, 2, 8], [6, 9, 2, 4], [6, 12, 1, 1], [6, 12, 2, 4], [6, 18, 2, 4], [6, 24, 1, 1], [6, 24, 2, 4], [12, 6, 2, 4], [12, 12, 1, 1], [12, 12, 2, 4], [12, 18, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 18, 'exponent': 12, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3545', 'hash': 3545, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 6, 6, 6], 'inner_gens': [[1, 30, 36, 324], [13, 6, 720, 252], [1, 834, 36, 216], [109, 186, 36, 216]], 'inner_hash': 183, 'inner_nilpotent': False, 'inner_order': 144, 'inner_split': True, 'inner_tex': 'S_3\\times S_4', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 36], [2, 36], [3, 36], [4, 9], [6, 18]], 'label': '1296.3545', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C6^2:S3^2', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 135, 'number_divisions': 75, 'number_normal_subgroups': 78, 'number_subgroup_autclasses': 258, 'number_subgroup_classes': 628, 'number_subgroups': 3752, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 39], [3, 242], [4, 24], [6, 690], [12, 300]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [2, 3], 'outer_gen_pows': [0, 18], 'outer_gens': [[5, 30, 36, 326], [581, 6, 180, 724]], 'outer_group': '48.29', 'outer_hash': 29, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 8, 'outer_perms': [36887, 21251], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': '\\GL(2,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 20], [3, 4], [4, 17], [6, 18], [8, 4], [12, 8]], 'representations': {'PC': {'code': 5530390376657883346192396469430705331909012971803989, 'gens': [1, 3, 5, 7], 'pres': [8, 2, 3, 2, 3, 2, 3, 2, 3, 16, 722, 66, 771, 4820, 2308, 116, 1173, 18150, 2374, 4566, 166, 5399]}, 'GLZN': {'d': 2, 'p': 36, 'gens': [1166425, 46681, 1622293, 385244, 909811, 62653, 46673, 70633]}, 'Perm': {'d': 13, 'gens': [120, 5, 518918400, 519321600, 3, 840, 7, 16]}}, 'schur_multiplier': [2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6^2:S_3^2', '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: 114812211
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 3545, 'group_order': 1296, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 114812258
    {'aut_label': '2A', 'centralizer': '3.b1', 'counter': 2, 'group_counter': 3545, 'group_order': 1296, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 90, 'size': 3}
  • id: 114812269
    {'aut_label': '2B', 'centralizer': '3.c1', 'counter': 3, 'group_counter': 3545, 'group_order': 1296, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 108, 'size': 3}
  • id: 114812280
    {'aut_label': '2C', 'centralizer': '6.g1', 'counter': 4, 'group_counter': 3545, 'group_order': 1296, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 3, 'size': 6}
  • id: 114812291
    {'aut_label': '2D', 'centralizer': '9.b1', 'counter': 5, 'group_counter': 3545, 'group_order': 1296, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 810, 'size': 9}
  • id: 114812302
    {'aut_label': '2E', 'centralizer': '18.f1', 'counter': 6, 'group_counter': 3545, 'group_order': 1296, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 9, 'size': 18}
  • id: 114812313
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 3545, 'group_order': 1296, 'label': '3A1', 'order': 3, 'powers': [8, 1], 'representative': 936, 'size': 1}
  • id: 114812324
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 3545, 'group_order': 1296, 'label': '3A-1', 'order': 3, 'powers': [7, 1], 'representative': 576, 'size': 1}
  • id: 114812335
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 3545, 'group_order': 1296, 'label': '3B1', 'order': 3, 'powers': [10, 1], 'representative': 4, 'size': 1}
  • id: 114812212
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 3545, 'group_order': 1296, 'label': '3B-1', 'order': 3, 'powers': [9, 1], 'representative': 2, 'size': 1}
  • id: 114812223
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 3545, 'group_order': 1296, 'label': '3C1', 'order': 3, 'powers': [12, 1], 'representative': 940, 'size': 1}
  • id: 114812234
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 3545, 'group_order': 1296, 'label': '3C-1', 'order': 3, 'powers': [11, 1], 'representative': 578, 'size': 1}
  • id: 114812245
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 3545, 'group_order': 1296, 'label': '3D1', 'order': 3, 'powers': [14, 1], 'representative': 580, 'size': 1}
  • id: 114812252
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 3545, 'group_order': 1296, 'label': '3D-1', 'order': 3, 'powers': [13, 1], 'representative': 938, 'size': 1}
  • id: 114812253
    {'aut_label': '3E', 'centralizer': '2.b1', 'counter': 15, 'group_counter': 3545, 'group_order': 1296, 'label': '3E', 'order': 3, 'powers': [15, 1], 'representative': 144, 'size': 2}
  • id: 114812254
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 16, 'group_counter': 3545, 'group_order': 1296, 'label': '3F1', 'order': 3, 'powers': [17, 1], 'representative': 866, 'size': 2}
  • id: 114812255
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 17, 'group_counter': 3545, 'group_order': 1296, 'label': '3F-1', 'order': 3, 'powers': [16, 1], 'representative': 436, 'size': 2}
  • id: 114812256
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 18, 'group_counter': 3545, 'group_order': 1296, 'label': '3G1', 'order': 3, 'powers': [19, 1], 'representative': 146, 'size': 2}
  • id: 114812257
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 19, 'group_counter': 3545, 'group_order': 1296, 'label': '3G-1', 'order': 3, 'powers': [18, 1], 'representative': 76, 'size': 2}
  • id: 114812259
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 20, 'group_counter': 3545, 'group_order': 1296, 'label': '3H1', 'order': 3, 'powers': [21, 1], 'representative': 434, 'size': 2}
  • id: 114812260
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 21, 'group_counter': 3545, 'group_order': 1296, 'label': '3H-1', 'order': 3, 'powers': [20, 1], 'representative': 868, 'size': 2}
  • id: 114812261
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 22, 'group_counter': 3545, 'group_order': 1296, 'label': '3I1', 'order': 3, 'powers': [23, 1], 'representative': 864, 'size': 2}
  • id: 114812262
    {'aut_label': '3F1', 'centralizer': '2.b1', 'counter': 23, 'group_counter': 3545, 'group_order': 1296, 'label': '3I-1', 'order': 3, 'powers': [22, 1], 'representative': 432, 'size': 2}
  • id: 114812263
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 24, 'group_counter': 3545, 'group_order': 1296, 'label': '3J', 'order': 3, 'powers': [24, 1], 'representative': 12, 'size': 8}
  • id: 114812264
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 25, 'group_counter': 3545, 'group_order': 1296, 'label': '3K1', 'order': 3, 'powers': [26, 1], 'representative': 948, 'size': 8}
  • id: 114812265
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 26, 'group_counter': 3545, 'group_order': 1296, 'label': '3K-1', 'order': 3, 'powers': [25, 1], 'representative': 600, 'size': 8}
  • id: 114812266
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 27, 'group_counter': 3545, 'group_order': 1296, 'label': '3L1', 'order': 3, 'powers': [28, 1], 'representative': 16, 'size': 8}
  • id: 114812267
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 28, 'group_counter': 3545, 'group_order': 1296, 'label': '3L-1', 'order': 3, 'powers': [27, 1], 'representative': 26, 'size': 8}
  • id: 114812268
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 29, 'group_counter': 3545, 'group_order': 1296, 'label': '3M1', 'order': 3, 'powers': [30, 1], 'representative': 952, 'size': 8}
  • id: 114812270
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 30, 'group_counter': 3545, 'group_order': 1296, 'label': '3M-1', 'order': 3, 'powers': [29, 1], 'representative': 602, 'size': 8}
  • id: 114812271
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 31, 'group_counter': 3545, 'group_order': 1296, 'label': '3N1', 'order': 3, 'powers': [32, 1], 'representative': 484, 'size': 8}
  • id: 114812272
    {'aut_label': '3K1', 'centralizer': '8.a1', 'counter': 32, 'group_counter': 3545, 'group_order': 1296, 'label': '3N-1', 'order': 3, 'powers': [31, 1], 'representative': 314, 'size': 8}
  • id: 114812273
    {'aut_label': '3O', 'centralizer': '16.a1', 'counter': 33, 'group_counter': 3545, 'group_order': 1296, 'label': '3O', 'order': 3, 'powers': [33, 1], 'representative': 84, 'size': 16}
  • id: 114812274
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 34, 'group_counter': 3545, 'group_order': 1296, 'label': '3P1', 'order': 3, 'powers': [35, 1], 'representative': 444, 'size': 16}
  • id: 114812275
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 35, 'group_counter': 3545, 'group_order': 1296, 'label': '3P-1', 'order': 3, 'powers': [34, 1], 'representative': 228, 'size': 16}
  • id: 114812276
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 36, 'group_counter': 3545, 'group_order': 1296, 'label': '3Q1', 'order': 3, 'powers': [37, 1], 'representative': 446, 'size': 16}
  • id: 114812277
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 37, 'group_counter': 3545, 'group_order': 1296, 'label': '3Q-1', 'order': 3, 'powers': [36, 1], 'representative': 232, 'size': 16}
  • id: 114812278
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 38, 'group_counter': 3545, 'group_order': 1296, 'label': '3R1', 'order': 3, 'powers': [39, 1], 'representative': 230, 'size': 16}
  • id: 114812279
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 39, 'group_counter': 3545, 'group_order': 1296, 'label': '3R-1', 'order': 3, 'powers': [38, 1], 'representative': 448, 'size': 16}
  • id: 114812281
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 40, 'group_counter': 3545, 'group_order': 1296, 'label': '3S1', 'order': 3, 'powers': [41, 1], 'representative': 86, 'size': 16}
  • id: 114812282
    {'aut_label': '3P1', 'centralizer': '16.a1', 'counter': 41, 'group_counter': 3545, 'group_order': 1296, 'label': '3S-1', 'order': 3, 'powers': [40, 1], 'representative': 88, 'size': 16}
  • id: 114812283
    {'aut_label': '4A', 'centralizer': '6.h1', 'counter': 42, 'group_counter': 3545, 'group_order': 1296, 'label': '4A', 'order': 4, 'powers': [3, 42], 'representative': 759, 'size': 6}
  • id: 114812284
    {'aut_label': '4B', 'centralizer': '18.g1', 'counter': 43, 'group_counter': 3545, 'group_order': 1296, 'label': '4B', 'order': 4, 'powers': [3, 43], 'representative': 45, 'size': 18}
  • id: 114812285
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 44, 'group_counter': 3545, 'group_order': 1296, 'label': '6A1', 'order': 6, 'powers': [7, 2], 'representative': 450, 'size': 3}
  • id: 114812286
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 45, 'group_counter': 3545, 'group_order': 1296, 'label': '6A-1', 'order': 6, 'powers': [8, 2], 'representative': 882, 'size': 3}
  • id: 114812287
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 46, 'group_counter': 3545, 'group_order': 1296, 'label': '6B1', 'order': 6, 'powers': [9, 2], 'representative': 20, 'size': 3}
  • id: 114812288
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 47, 'group_counter': 3545, 'group_order': 1296, 'label': '6B-1', 'order': 6, 'powers': [10, 2], 'representative': 22, 'size': 3}
  • id: 114812289
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 48, 'group_counter': 3545, 'group_order': 1296, 'label': '6C1', 'order': 6, 'powers': [11, 2], 'representative': 452, 'size': 3}
  • id: 114812290
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 49, 'group_counter': 3545, 'group_order': 1296, 'label': '6C-1', 'order': 6, 'powers': [12, 2], 'representative': 886, 'size': 3}
  • id: 114812292
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 50, 'group_counter': 3545, 'group_order': 1296, 'label': '6D1', 'order': 6, 'powers': [13, 2], 'representative': 884, 'size': 3}
  • id: 114812293
    {'aut_label': '6A1', 'centralizer': '3.b1', 'counter': 51, 'group_counter': 3545, 'group_order': 1296, 'label': '6D-1', 'order': 6, 'powers': [14, 2], 'representative': 454, 'size': 3}
  • id: 114812294
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 52, 'group_counter': 3545, 'group_order': 1296, 'label': '6E1', 'order': 6, 'powers': [9, 3], 'representative': 110, 'size': 3}
  • id: 114812295
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 53, 'group_counter': 3545, 'group_order': 1296, 'label': '6E-1', 'order': 6, 'powers': [10, 3], 'representative': 112, 'size': 3}
  • id: 114812296
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 54, 'group_counter': 3545, 'group_order': 1296, 'label': '6F1', 'order': 6, 'powers': [11, 3], 'representative': 470, 'size': 3}
  • id: 114812297
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 55, 'group_counter': 3545, 'group_order': 1296, 'label': '6F-1', 'order': 6, 'powers': [12, 3], 'representative': 1048, 'size': 3}
  • id: 114812298
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 56, 'group_counter': 3545, 'group_order': 1296, 'label': '6G1', 'order': 6, 'powers': [13, 3], 'representative': 290, 'size': 3}
  • id: 114812299
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 57, 'group_counter': 3545, 'group_order': 1296, 'label': '6G-1', 'order': 6, 'powers': [14, 3], 'representative': 1228, 'size': 3}
  • id: 114812300
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 58, 'group_counter': 3545, 'group_order': 1296, 'label': '6H1', 'order': 6, 'powers': [7, 3], 'representative': 468, 'size': 3}
  • id: 114812301
    {'aut_label': '6E1', 'centralizer': '3.c1', 'counter': 59, 'group_counter': 3545, 'group_order': 1296, 'label': '6H-1', 'order': 6, 'powers': [8, 3], 'representative': 1044, 'size': 3}
  • id: 114812303
    {'aut_label': '6I', 'centralizer': '6.l1', 'counter': 60, 'group_counter': 3545, 'group_order': 1296, 'label': '6I', 'order': 6, 'powers': [15, 3], 'representative': 720, 'size': 6}
  • id: 114812304
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 61, 'group_counter': 3545, 'group_order': 1296, 'label': '6J1', 'order': 6, 'powers': [10, 4], 'representative': 1, 'size': 6}
  • id: 114812305
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 62, 'group_counter': 3545, 'group_order': 1296, 'label': '6J-1', 'order': 6, 'powers': [9, 4], 'representative': 5, 'size': 6}
  • id: 114812306
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 63, 'group_counter': 3545, 'group_order': 1296, 'label': '6K1', 'order': 6, 'powers': [14, 4], 'representative': 469, 'size': 6}
  • id: 114812307
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 64, 'group_counter': 3545, 'group_order': 1296, 'label': '6K-1', 'order': 6, 'powers': [13, 4], 'representative': 941, 'size': 6}
  • id: 114812308
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 65, 'group_counter': 3545, 'group_order': 1296, 'label': '6L1', 'order': 6, 'powers': [12, 4], 'representative': 937, 'size': 6}
  • id: 114812309
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 66, 'group_counter': 3545, 'group_order': 1296, 'label': '6L-1', 'order': 6, 'powers': [11, 4], 'representative': 473, 'size': 6}
  • id: 114812310
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 67, 'group_counter': 3545, 'group_order': 1296, 'label': '6M1', 'order': 6, 'powers': [7, 4], 'representative': 471, 'size': 6}
  • id: 114812311
    {'aut_label': '6J1', 'centralizer': '6.g1', 'counter': 68, 'group_counter': 3545, 'group_order': 1296, 'label': '6M-1', 'order': 6, 'powers': [8, 4], 'representative': 939, 'size': 6}
  • id: 114812312
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 69, 'group_counter': 3545, 'group_order': 1296, 'label': '6N1', 'order': 6, 'powers': [21, 3], 'representative': 542, 'size': 6}
  • id: 114812314
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 70, 'group_counter': 3545, 'group_order': 1296, 'label': '6N-1', 'order': 6, 'powers': [20, 3], 'representative': 976, 'size': 6}
  • id: 114812315
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 71, 'group_counter': 3545, 'group_order': 1296, 'label': '6O1', 'order': 6, 'powers': [19, 3], 'representative': 722, 'size': 6}
  • id: 114812316
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 72, 'group_counter': 3545, 'group_order': 1296, 'label': '6O-1', 'order': 6, 'powers': [18, 3], 'representative': 796, 'size': 6}
  • id: 114812317
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 73, 'group_counter': 3545, 'group_order': 1296, 'label': '6P1', 'order': 6, 'powers': [22, 3], 'representative': 540, 'size': 6}
  • id: 114812318
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 74, 'group_counter': 3545, 'group_order': 1296, 'label': '6P-1', 'order': 6, 'powers': [23, 3], 'representative': 972, 'size': 6}
  • id: 114812319
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 75, 'group_counter': 3545, 'group_order': 1296, 'label': '6Q1', 'order': 6, 'powers': [17, 3], 'representative': 974, 'size': 6}
  • id: 114812320
    {'aut_label': '6N1', 'centralizer': '6.l1', 'counter': 76, 'group_counter': 3545, 'group_order': 1296, 'label': '6Q-1', 'order': 6, 'powers': [16, 3], 'representative': 544, 'size': 6}
  • id: 114812321
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 77, 'group_counter': 3545, 'group_order': 1296, 'label': '6R1', 'order': 6, 'powers': [8, 5], 'representative': 234, 'size': 9}
  • id: 114812322
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 78, 'group_counter': 3545, 'group_order': 1296, 'label': '6R-1', 'order': 6, 'powers': [7, 5], 'representative': 486, 'size': 9}
  • id: 114812323
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 79, 'group_counter': 3545, 'group_order': 1296, 'label': '6S1', 'order': 6, 'powers': [13, 5], 'representative': 236, 'size': 9}
  • id: 114812325
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 80, 'group_counter': 3545, 'group_order': 1296, 'label': '6S-1', 'order': 6, 'powers': [14, 5], 'representative': 490, 'size': 9}
  • id: 114812326
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 81, 'group_counter': 3545, 'group_order': 1296, 'label': '6T1', 'order': 6, 'powers': [9, 5], 'representative': 56, 'size': 9}
  • id: 114812327
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 82, 'group_counter': 3545, 'group_order': 1296, 'label': '6T-1', 'order': 6, 'powers': [10, 5], 'representative': 58, 'size': 9}
  • id: 114812328
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 83, 'group_counter': 3545, 'group_order': 1296, 'label': '6U1', 'order': 6, 'powers': [12, 5], 'representative': 238, 'size': 9}
  • id: 114812329
    {'aut_label': '6R1', 'centralizer': '9.b1', 'counter': 84, 'group_counter': 3545, 'group_order': 1296, 'label': '6U-1', 'order': 6, 'powers': [11, 5], 'representative': 488, 'size': 9}
  • id: 114812330
    {'aut_label': '6V', 'centralizer': '12.h1', 'counter': 85, 'group_counter': 3545, 'group_order': 1296, 'label': '6V', 'order': 6, 'powers': [15, 4], 'representative': 75, 'size': 12}
  • id: 114812331
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 86, 'group_counter': 3545, 'group_order': 1296, 'label': '6W1', 'order': 6, 'powers': [16, 4], 'representative': 433, 'size': 12}
  • id: 114812332
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 87, 'group_counter': 3545, 'group_order': 1296, 'label': '6W-1', 'order': 6, 'powers': [17, 4], 'representative': 869, 'size': 12}
  • id: 114812333
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 88, 'group_counter': 3545, 'group_order': 1296, 'label': '6X1', 'order': 6, 'powers': [18, 4], 'representative': 73, 'size': 12}
  • id: 114812334
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 89, 'group_counter': 3545, 'group_order': 1296, 'label': '6X-1', 'order': 6, 'powers': [19, 4], 'representative': 77, 'size': 12}
  • id: 114812336
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 90, 'group_counter': 3545, 'group_order': 1296, 'label': '6Y1', 'order': 6, 'powers': [20, 4], 'representative': 865, 'size': 12}
  • id: 114812337
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 91, 'group_counter': 3545, 'group_order': 1296, 'label': '6Y-1', 'order': 6, 'powers': [21, 4], 'representative': 437, 'size': 12}
  • id: 114812338
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 92, 'group_counter': 3545, 'group_order': 1296, 'label': '6Z1', 'order': 6, 'powers': [22, 4], 'representative': 435, 'size': 12}
  • id: 114812339
    {'aut_label': '6W1', 'centralizer': '12.h1', 'counter': 93, 'group_counter': 3545, 'group_order': 1296, 'label': '6Z-1', 'order': 6, 'powers': [23, 4], 'representative': 867, 'size': 12}
  • id: 114812340
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 94, 'group_counter': 3545, 'group_order': 1296, 'label': '6AA1', 'order': 6, 'powers': [10, 6], 'representative': 7, 'size': 18}
  • id: 114812341
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 95, 'group_counter': 3545, 'group_order': 1296, 'label': '6AA-1', 'order': 6, 'powers': [9, 6], 'representative': 11, 'size': 18}
  • id: 114812342
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 96, 'group_counter': 3545, 'group_order': 1296, 'label': '6AB1', 'order': 6, 'powers': [14, 6], 'representative': 439, 'size': 18}
  • id: 114812343
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 97, 'group_counter': 3545, 'group_order': 1296, 'label': '6AB-1', 'order': 6, 'powers': [13, 6], 'representative': 875, 'size': 18}
  • id: 114812344
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 98, 'group_counter': 3545, 'group_order': 1296, 'label': '6AC1', 'order': 6, 'powers': [12, 6], 'representative': 871, 'size': 18}
  • id: 114812345
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 99, 'group_counter': 3545, 'group_order': 1296, 'label': '6AC-1', 'order': 6, 'powers': [11, 6], 'representative': 443, 'size': 18}
  • id: 114812213
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 100, 'group_counter': 3545, 'group_order': 1296, 'label': '6AD1', 'order': 6, 'powers': [7, 6], 'representative': 441, 'size': 18}
  • id: 114812214
    {'aut_label': '6AA1', 'centralizer': '18.f1', 'counter': 101, 'group_counter': 3545, 'group_order': 1296, 'label': '6AD-1', 'order': 6, 'powers': [8, 6], 'representative': 873, 'size': 18}
  • id: 114812215
    {'aut_label': '6AE', 'centralizer': '24.b1', 'counter': 102, 'group_counter': 3545, 'group_order': 1296, 'label': '6AE', 'order': 6, 'powers': [24, 2], 'representative': 6, 'size': 24}
  • id: 114812216
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 103, 'group_counter': 3545, 'group_order': 1296, 'label': '6AF1', 'order': 6, 'powers': [25, 2], 'representative': 438, 'size': 24}
  • id: 114812217
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 104, 'group_counter': 3545, 'group_order': 1296, 'label': '6AF-1', 'order': 6, 'powers': [26, 2], 'representative': 222, 'size': 24}
  • id: 114812218
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 105, 'group_counter': 3545, 'group_order': 1296, 'label': '6AG1', 'order': 6, 'powers': [27, 2], 'representative': 8, 'size': 24}
  • id: 114812219
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 106, 'group_counter': 3545, 'group_order': 1296, 'label': '6AG-1', 'order': 6, 'powers': [28, 2], 'representative': 10, 'size': 24}
  • id: 114812220
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 107, 'group_counter': 3545, 'group_order': 1296, 'label': '6AH1', 'order': 6, 'powers': [29, 2], 'representative': 440, 'size': 24}
  • id: 114812221
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 108, 'group_counter': 3545, 'group_order': 1296, 'label': '6AH-1', 'order': 6, 'powers': [30, 2], 'representative': 226, 'size': 24}
  • id: 114812222
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 109, 'group_counter': 3545, 'group_order': 1296, 'label': '6AI1', 'order': 6, 'powers': [31, 2], 'representative': 224, 'size': 24}
  • id: 114812224
    {'aut_label': '6AF1', 'centralizer': '24.b1', 'counter': 110, 'group_counter': 3545, 'group_order': 1296, 'label': '6AI-1', 'order': 6, 'powers': [32, 2], 'representative': 442, 'size': 24}
  • id: 114812225
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 111, 'group_counter': 3545, 'group_order': 1296, 'label': '12A1', 'order': 12, 'powers': [52, 42], 'representative': 649, 'size': 6}
  • id: 114812226
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 112, 'group_counter': 3545, 'group_order': 1296, 'label': '12A-1', 'order': 12, 'powers': [53, 42], 'representative': 653, 'size': 6}
  • id: 114812227
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 113, 'group_counter': 3545, 'group_order': 1296, 'label': '12B1', 'order': 12, 'powers': [54, 42], 'representative': 289, 'size': 6}
  • id: 114812228
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 114, 'group_counter': 3545, 'group_order': 1296, 'label': '12B-1', 'order': 12, 'powers': [55, 42], 'representative': 485, 'size': 6}
  • id: 114812229
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 115, 'group_counter': 3545, 'group_order': 1296, 'label': '12C1', 'order': 12, 'powers': [56, 42], 'representative': 481, 'size': 6}
  • id: 114812230
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 116, 'group_counter': 3545, 'group_order': 1296, 'label': '12C-1', 'order': 12, 'powers': [57, 42], 'representative': 293, 'size': 6}
  • id: 114812231
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 117, 'group_counter': 3545, 'group_order': 1296, 'label': '12D1', 'order': 12, 'powers': [58, 42], 'representative': 291, 'size': 6}
  • id: 114812232
    {'aut_label': '12A1', 'centralizer': '6.h1', 'counter': 118, 'group_counter': 3545, 'group_order': 1296, 'label': '12D-1', 'order': 12, 'powers': [59, 42], 'representative': 483, 'size': 6}
  • id: 114812233
    {'aut_label': '12E', 'centralizer': '12.k1', 'counter': 119, 'group_counter': 3545, 'group_order': 1296, 'label': '12E', 'order': 12, 'powers': [60, 42], 'representative': 51, 'size': 12}
  • id: 114812235
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 120, 'group_counter': 3545, 'group_order': 1296, 'label': '12F1', 'order': 12, 'powers': [69, 42], 'representative': 217, 'size': 12}
  • id: 114812236
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 121, 'group_counter': 3545, 'group_order': 1296, 'label': '12F-1', 'order': 12, 'powers': [70, 42], 'representative': 1085, 'size': 12}
  • id: 114812237
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 122, 'group_counter': 3545, 'group_order': 1296, 'label': '12G1', 'order': 12, 'powers': [71, 42], 'representative': 49, 'size': 12}
  • id: 114812238
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 123, 'group_counter': 3545, 'group_order': 1296, 'label': '12G-1', 'order': 12, 'powers': [72, 42], 'representative': 53, 'size': 12}
  • id: 114812239
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 124, 'group_counter': 3545, 'group_order': 1296, 'label': '12H1', 'order': 12, 'powers': [73, 42], 'representative': 219, 'size': 12}
  • id: 114812240
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 125, 'group_counter': 3545, 'group_order': 1296, 'label': '12H-1', 'order': 12, 'powers': [74, 42], 'representative': 1083, 'size': 12}
  • id: 114812241
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 126, 'group_counter': 3545, 'group_order': 1296, 'label': '12I1', 'order': 12, 'powers': [75, 42], 'representative': 1081, 'size': 12}
  • id: 114812242
    {'aut_label': '12F1', 'centralizer': '12.k1', 'counter': 127, 'group_counter': 3545, 'group_order': 1296, 'label': '12I-1', 'order': 12, 'powers': [76, 42], 'representative': 221, 'size': 12}
  • id: 114812243
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 128, 'group_counter': 3545, 'group_order': 1296, 'label': '12J1', 'order': 12, 'powers': [54, 43], 'representative': 223, 'size': 18}
  • id: 114812244
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 129, 'group_counter': 3545, 'group_order': 1296, 'label': '12J-1', 'order': 12, 'powers': [55, 43], 'representative': 479, 'size': 18}
  • id: 114812246
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 130, 'group_counter': 3545, 'group_order': 1296, 'label': '12K1', 'order': 12, 'powers': [52, 43], 'representative': 43, 'size': 18}
  • id: 114812247
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 131, 'group_counter': 3545, 'group_order': 1296, 'label': '12K-1', 'order': 12, 'powers': [53, 43], 'representative': 47, 'size': 18}
  • id: 114812248
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 132, 'group_counter': 3545, 'group_order': 1296, 'label': '12L1', 'order': 12, 'powers': [56, 43], 'representative': 475, 'size': 18}
  • id: 114812249
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 133, 'group_counter': 3545, 'group_order': 1296, 'label': '12L-1', 'order': 12, 'powers': [57, 43], 'representative': 227, 'size': 18}
  • id: 114812250
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 134, 'group_counter': 3545, 'group_order': 1296, 'label': '12M1', 'order': 12, 'powers': [58, 43], 'representative': 225, 'size': 18}
  • id: 114812251
    {'aut_label': '12J1', 'centralizer': '18.g1', 'counter': 135, 'group_counter': 3545, 'group_order': 1296, 'label': '12M-1', 'order': 12, 'powers': [59, 43], 'representative': 477, '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: 5492415
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492426
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492437
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492448
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492459
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1], 'schur_index': 1}
  • id: 5492470
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1f', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2], 'schur_index': 1}
  • id: 5492481
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1g', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1], 'schur_index': 1}
  • id: 5492488
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1h', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492489
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1i', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -2, 2, 2, -1, 1, 1, 1, 2, -1, -1, -1, -2, 1, -1, 1, 1, -1, -2, 2, 1, -1, 1, -2, 1, 1, -2, 2, 2, -1, -1, -1, 1, -1, -1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, -1, -1, -1, -1, 2, -1, 2, -1, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -1, -1, -1, -1, -1, 2, 2, -1], 'schur_index': 1}
  • id: 5492416
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -2, 2, -1, 2, 1, 1, 1, -1, -1, -1, 2, 1, 1, -1, -2, -2, -1, 1, 2, 1, -1, -2, 1, 1, 1, 1, -1, -1, 2, -1, -1, -2, -1, 2, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, -1, 2, -1, -1, -1, 2, -1, -1, 1, 1, 1, -2, -2, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, -1, 2, -1, -1, -1, -1, -1, 2], 'schur_index': 1}
  • id: 5492417
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1k', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -1, 1, -2, 2, 1, 1, -1, 1, 2, 1, 2, 1, 1, 1, -2, 1, -1, -1, -1, -1, -1, 1, 2, -1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, -1, -1, -1, 2, -1, -1, -1, 2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 2, -1, -1, -1, 2, -1, -1, -1], 'schur_index': 1}
  • id: 5492418
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -2, 2, -1, -1, -2, 1, -2, -1, 2, -1, -1, 1, 1, -1, 1, 1, 2, 1, 2, -2, -1, 1, 1, -2, 1, 1, -1, -1, -1, 2, 2, 1, -1, -1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, 2, -1, 2, -1, -1, -1, -1, -1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -1, -1, 2, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492419
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -2, 2, -1, 1, 1, 1, 2, -1, -1, -1, -2, 1, -1, 1, 1, -1, -2, 2, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 1, 1, 1, 1, 1, -2, -2, 1], 'schur_index': 1}
  • id: 5492420
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -2, -1, 2, 1, 1, 1, -1, -1, -1, 2, 1, 1, -1, -2, -2, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 1, 1, -2, 1, 1, 1, -2, 1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 1, -2, 1, 1, 1, 1, 1, -2], 'schur_index': 1}
  • id: 5492421
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -2, -1, -1, 1, -2, 1, -1, -1, 2, -1, 1, -2, 2, 1, 1, -1, 1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 1, -2, 1, 1, -2, 1, 1, 1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -2, 1, 1, 1, -2, 1, 1, 1], 'schur_index': 1}
  • id: 5492422
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -2, -1, -1, -2, 1, -2, -1, 2, -1, -1, 1, 1, -1, 1, 1, 2, 1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, -2, 1, -2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 1, 1, -2, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492423
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -2, -2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 1, -1, 1, -2, 1, 1, -2, 2, 2, -1, -1, -1, 1, -1, -1, 1, 2, -1, -1, 2, -1, -1, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, -1, -1, -1, -1, -1, 2, 2, 2, -1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1], 'schur_index': 1}
  • id: 5492424
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -2, -2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 1, -1, -2, 1, 1, 1, 1, -1, -1, 2, -1, -1, -2, -1, 2, 1, -1, -1, 2, -1, -1, -1, 2, -1, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2], 'schur_index': 1}
  • id: 5492425
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -2, -2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, 1, 2, 1, 1, 1, -2, 1, -1, -1, -1, -1, -1, 1, 2, -1, -2, -1, 2, -1, -1, 2, -1, -1, -1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1], 'schur_index': 1}
  • id: 5492427
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -2, -2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -2, -1, 1, 1, -2, 1, 1, -1, -1, -1, 2, 2, 1, -1, -1, 1, -1, -1, -1, -1, -1, 2, -1, 2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492428
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, -1, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492429
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492430
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 0, -2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492431
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 0, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, -1, -2, -1, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492450
    {'cdim': 3, 'counter': 41, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, -1, 1, -1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 3, 3, 3, -1, -1, -1, -1, 3, 3, -1, 3, 3, -1, 3, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -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: 5492451
    {'cdim': 3, 'counter': 42, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3b', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 3, 3, 3, -1, -1, -1, -1, 3, 3, -1, 3, 3, -1, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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: 5492452
    {'cdim': 3, 'counter': 43, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3c', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -1, -1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -3, -3, -3, -1, -1, -1, -1, -3, -3, -1, -3, -3, -1, -3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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: 5492453
    {'cdim': 3, 'counter': 44, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3d', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -1, 1, 1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -3, -3, -3, -1, -1, -1, -1, -3, -3, -1, -3, -3, -1, -3, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -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: 5492432
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2e', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 0, 0, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, 4, 0, 4, -2, 0, 0, 0, 4, -2, -2, -2, 0, 0, -2, 0, 0, -2, 0, -2, -2, 1, -2, 4, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -2, 1, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 4, -2, 4, -2, 1, 1, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492433
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2f', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 0, 0, -2, -2, 4, -2, -2, 4, -2, -2, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 4, 0, -2, 4, 0, 0, 0, -2, -2, -2, 4, 0, 0, -2, 0, 0, -2, 0, -2, -2, 1, 4, -2, -2, -2, -2, 1, 1, -2, 1, 1, 4, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, -2, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492434
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2g', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 0, 0, -2, 4, -2, 4, -2, -2, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 4, 0, -2, -2, 0, 0, 0, -2, -2, 4, -2, 0, 0, 4, 0, 0, -2, 0, -2, -2, -2, -2, -2, -2, 4, -2, 1, 1, 1, 1, 1, -2, -2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492435
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2h', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 0, 0, 4, -2, -2, -2, -2, -2, 4, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 1, 1, 1, 1, 1, -2, 1, -2, 4, 0, -2, -2, 0, 0, 0, -2, 4, -2, -2, 0, 0, -2, 0, 0, 4, 0, -2, 4, 1, -2, -2, 4, -2, -2, 1, 1, 1, -2, -2, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 4, 4, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492436
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2i', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 4, 0, -2, -2, -2, -2, 4, -2, -2, 4, 4, 4, -2, -2, -2, 4, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 0, 0, 4, -2, -2, -2, -2, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, 4, 4, 0, -2, 0, 0, 0, 0, 0, 4, 4, -2, -2, -2, 0, -2, -2, 0, 4, -2, -2, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492438
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2j', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 4, 0, -2, -2, 4, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 0, 0, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, 4, 4, -2, -2, 4, 0, -2, 0, 0, 0, 0, 0, -2, -2, 4, -2, -2, 0, -2, 4, 0, -2, -2, 4, -2, -2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, -2, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492439
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2k', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 4, 0, -2, 4, -2, 4, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, 4, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 0, 0, -2, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, -2, 4, 0, 4, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 4, -2, 0, -2, 4, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492440
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2l', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 4, 0, 4, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, 4, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, -2, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, 4, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 0, -2, -2, 0, -2, -2, -2, -2, -2, 4, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492441
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2m', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, 4, 0, -4, 0, -2, -2, -2, -2, 4, -2, -2, 4, 4, 4, -2, -2, -2, 4, -2, -2, -2, 1, 1, 1, 1, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 0, 0, 4, -2, 2, 2, 2, 4, -2, -2, -2, -4, 2, -2, 2, 2, -2, -4, 4, 0, -2, 0, 0, 0, 0, 0, 4, 4, -2, -2, -2, 0, -2, -2, 0, -4, 2, 2, -4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492442
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2n', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, 4, 0, -4, 0, -2, -2, 4, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 0, 0, -2, 4, 2, 2, 2, -2, -2, -2, 4, 2, 2, -2, -4, -4, -2, 2, 4, 0, -2, 0, 0, 0, 0, 0, -2, -2, 4, -2, -2, 0, -2, 4, 0, 2, 2, -4, 2, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492443
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2o', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, 4, 0, -4, 0, -2, 4, -2, 4, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, 4, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 0, 0, -2, -2, 2, -4, 2, -2, -2, 4, -2, 2, -4, 4, 2, 2, -2, 2, 4, 0, 4, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 4, -2, 0, 2, -4, 2, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492444
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2p', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, -4, 4, 0, -4, 0, 4, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, 4, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, -2, -2, -4, 2, -4, -2, 4, -2, -2, 2, 2, -2, 2, 2, 4, 2, 4, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 0, -2, -2, 0, 2, 2, 2, 2, 2, -4, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492445
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2q', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 0, 4, -4, 0, 0, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, -4, 0, 4, -2, 0, 0, 0, 4, -2, -2, -2, 0, 0, -2, 0, 0, -2, 0, -2, 2, 1, 2, -4, 2, 2, -4, -2, -2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 2, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -4, 2, -4, 2, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492446
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2r', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 0, 4, -4, 0, 0, -2, -2, 4, -2, -2, 4, -2, -2, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 4, -2, 4, 4, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, -4, 0, -2, 4, 0, 0, 0, -2, -2, -2, 4, 0, 0, -2, 0, 0, -2, 0, -2, 2, 1, -4, 2, 2, 2, 2, 1, 1, -2, 1, 1, -4, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 2, 2, -4, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492447
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2s', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 0, 4, -4, 0, 0, -2, 4, -2, 4, -2, -2, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, -4, 0, -2, -2, 0, 0, 0, -2, -2, 4, -2, 0, 0, 4, 0, 0, -2, 0, -2, 2, -2, 2, 2, 2, -4, 2, 1, 1, 1, 1, 1, 2, -2, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492449
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.2t', 'multiplicity': 2, 'nt': [12, 18], 'qdim': 4, 'qvalues': [4, 0, 4, -4, 0, 0, 4, -2, -2, -2, -2, -2, 4, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, 1, 1, 1, 1, 1, -2, 1, -2, -4, 0, -2, -2, 0, 0, 0, -2, 4, -2, -2, 0, 0, -2, 0, 0, 4, 0, -2, -4, 1, 2, 2, -4, 2, 2, 1, 1, 1, -2, -2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, -4, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492472
    {'cdim': 4, 'counter': 61, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.4a', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492454
    {'cdim': 3, 'counter': 45, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3e', 'multiplicity': 2, 'nt': [12, 45], 'qdim': 6, 'qvalues': [6, 6, -2, 2, -2, 2, -3, -3, -3, -3, 6, -3, -3, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, -3, -3, -3, -2, 1, 1, 1, 6, -3, 1, -3, -3, 1, 6, -2, -1, 1, -1, 2, -1, -1, 2, -2, -2, 1, 1, 1, -1, 1, 1, -1, -2, 1, 1, -2, 1, 1, 1, 1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1], 'schur_index': 1}
  • id: 5492455
    {'cdim': 3, 'counter': 46, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3f', 'multiplicity': 2, 'nt': [12, 45], 'qdim': 6, 'qvalues': [6, 6, -2, 2, -2, 2, -3, -3, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -3, -3, -3, 1, 1, 1, -2, -3, -3, 1, 6, 6, 1, -3, -2, -1, 1, 2, -1, -1, -1, -1, 1, 1, -2, 1, 1, 2, 1, -2, -1, 1, 1, -2, 1, 1, 1, -2, 1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2], 'schur_index': 1}
  • id: 5492456
    {'cdim': 3, 'counter': 47, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3g', 'multiplicity': 2, 'nt': [12, 45], 'qdim': 6, 'qvalues': [6, 6, -2, 2, -2, 2, -3, 6, -3, 6, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, -3, 6, -3, 1, 1, -2, 1, -3, 6, -2, -3, -3, 1, -3, -2, -1, -2, -1, -1, -1, 2, -1, 1, 1, 1, 1, 1, -1, -2, 1, 2, 1, -2, 1, 1, -2, 1, 1, 1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1], 'schur_index': 1}
  • id: 5492457
    {'cdim': 3, 'counter': 48, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3h', 'multiplicity': 2, 'nt': [12, 45], 'qdim': 6, 'qvalues': [6, 6, -2, 2, -2, 2, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 6, -3, 6, 1, -2, 1, 1, -3, -3, 1, -3, -3, -2, -3, -2, 2, 1, -1, -1, 2, -1, -1, 1, 1, 1, -2, -2, -1, 1, 1, -1, 1, 1, 1, 1, 1, -2, 1, -2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492458
    {'cdim': 3, 'counter': 49, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3i', 'multiplicity': 2, 'nt': [18, 30], 'qdim': 6, 'qvalues': [6, 6, -2, -2, -2, -2, -3, -3, -3, -3, 6, -3, -3, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 1, -3, -3, -3, -2, 1, 1, 1, 6, -3, 1, -3, -3, 1, 6, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1], 'schur_index': 1}
  • id: 5492460
    {'cdim': 3, 'counter': 50, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3j', 'multiplicity': 2, 'nt': [18, 30], 'qdim': 6, 'qvalues': [6, 6, -2, -2, -2, -2, -3, -3, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, -2, -3, -3, -3, 1, 1, 1, -2, -3, -3, 1, 6, 6, 1, -3, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2], 'schur_index': 1}
  • id: 5492461
    {'cdim': 3, 'counter': 51, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3k', 'multiplicity': 2, 'nt': [18, 30], 'qdim': 6, 'qvalues': [6, 6, -2, -2, -2, -2, -3, 6, -3, 6, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, -3, 6, -3, 1, 1, -2, 1, -3, 6, -2, -3, -3, 1, -3, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1], 'schur_index': 1}
  • id: 5492462
    {'cdim': 3, 'counter': 52, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3l', 'multiplicity': 2, 'nt': [18, 30], 'qdim': 6, 'qvalues': [6, 6, -2, -2, -2, -2, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 6, -3, 6, 1, -2, 1, 1, -3, -3, 1, -3, -3, -2, -3, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492463
    {'cdim': 3, 'counter': 53, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3m', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, -2, 2, 2, -3, -3, -3, -3, 6, -3, -3, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 1, 3, 3, 3, -2, 1, 1, 1, -6, 3, 1, 3, 3, 1, -6, -2, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 2, -1, -1, 2, -1, -1, -1, -1, -2, 1, 1, -2, 1, 1, 1, 1, -2, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 1, 1, 1, 1, 1, -2, -2, 1], 'schur_index': 1}
  • id: 5492464
    {'cdim': 3, 'counter': 54, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3n', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, -2, 2, 2, -3, -3, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, -2, 3, 3, 3, 1, 1, 1, -2, 3, 3, 1, -6, -6, 1, 3, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, -1, -1, 2, -1, -1, -1, 2, -1, -2, 1, 1, 1, 1, -2, 1, -2, 1, -1, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 1, -2, 1, 1, 1, 1, 1, -2], 'schur_index': 1}
  • id: 5492465
    {'cdim': 3, 'counter': 55, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3o', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, -2, 2, 2, -3, 6, -3, 6, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 1, 3, -6, 3, 1, 1, -2, 1, 3, -6, -2, 3, 3, 1, 3, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -1, 2, -1, -1, 2, -1, -1, -1, -2, 1, -2, 1, -2, 1, 1, 1, 1, -1, -1, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -2, 1, 1, 1, -2, 1, 1, 1], 'schur_index': 1}
  • id: 5492466
    {'cdim': 3, 'counter': 56, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3p', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, -2, 2, 2, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, 1, -6, 3, -6, 1, -2, 1, 1, 3, 3, 1, 3, 3, -2, 3, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, -1, 2, -1, 2, -2, -2, 1, 1, 1, 1, -2, 1, 1, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 1, 1, -2, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5492467
    {'cdim': 3, 'counter': 57, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3q', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, 2, 2, -2, -3, -3, -3, -3, 6, -3, -3, 6, 6, 6, -3, -3, -3, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 1, 3, 3, 3, -2, 1, 1, 1, -6, 3, 1, 3, 3, 1, -6, -2, -1, 1, -1, 2, -1, -1, 2, -2, -2, 1, 1, 1, -1, 1, 1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -1, -1, -1, -1, -1, 2, 2, -1], 'schur_index': 1}
  • id: 5492468
    {'cdim': 3, 'counter': 58, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3r', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, 2, 2, -2, -3, -3, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, -2, 3, 3, 3, 1, 1, 1, -2, 3, 3, 1, -6, -6, 1, 3, -2, -1, 1, 2, -1, -1, -1, -1, 1, 1, -2, 1, 1, 2, 1, -2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 1, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, -1, 2, -1, -1, -1, -1, -1, 2], 'schur_index': 1}
  • id: 5492469
    {'cdim': 3, 'counter': 59, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3s', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, 2, 2, -2, -3, 6, -3, 6, -3, -3, -3, -3, -3, 6, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, 3, -6, 3, 1, 1, -2, 1, 3, -6, -2, 3, 3, 1, 3, -2, -1, -2, -1, -1, -1, 2, -1, 1, 1, 1, 1, 1, -1, -2, 1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 1, 1, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 2, -1, -1, -1, 2, -1, -1, -1], 'schur_index': 1}
  • id: 5492471
    {'cdim': 3, 'counter': 60, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.3t', 'multiplicity': 2, 'nt': [18, 61], 'qdim': 6, 'qvalues': [6, -6, -2, 2, 2, -2, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, -6, 3, -6, 1, -2, 1, 1, 3, 3, 1, 3, 3, -2, 3, -2, 2, 1, -1, -1, 2, -1, -1, 1, 1, 1, -2, -2, -1, 1, 1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, -1, -1, 2, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5492477
    {'cdim': 6, 'counter': 66, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6a', 'multiplicity': 1, 'nt': [12, 83], 'qdim': 6, 'qvalues': [6, 0, -2, 2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, 0, -2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492478
    {'cdim': 6, 'counter': 67, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6b', 'multiplicity': 1, 'nt': [18, 69], 'qdim': 6, 'qvalues': [6, 0, -2, -2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, 0, -2, 0, 1, -2, 1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492473
    {'cdim': 4, 'counter': 62, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.4b', 'multiplicity': 2, 'nt': [12, 70], 'qdim': 8, 'qvalues': [8, 0, 8, 0, 0, 0, -4, -4, -4, -4, 8, -4, -4, 8, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, -4, -4, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, 0, 0, 8, -4, 0, 0, 0, 8, -4, -4, -4, 0, 0, -4, 0, 0, -4, 0, -4, 0, 2, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492474
    {'cdim': 4, 'counter': 63, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.4c', 'multiplicity': 2, 'nt': [12, 70], 'qdim': 8, 'qvalues': [8, 0, 8, 0, 0, 0, -4, -4, 8, -4, -4, 8, -4, -4, 2, -4, 2, 2, -4, 2, 2, -4, 2, 2, -4, 2, -4, -4, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, -4, 8, 0, 0, 0, -4, -4, -4, 8, 0, 0, -4, 0, 0, -4, 0, -4, 0, 2, 0, 0, 0, 0, 0, 2, 2, -4, 2, 2, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492475
    {'cdim': 4, 'counter': 64, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.4d', 'multiplicity': 2, 'nt': [12, 70], 'qdim': 8, 'qvalues': [8, 0, 8, 0, 0, 0, -4, 8, -4, 8, -4, -4, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 0, 0, -4, -4, 0, 0, 0, -4, -4, 8, -4, 0, 0, 8, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492476
    {'cdim': 4, 'counter': 65, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.4e', 'multiplicity': 2, 'nt': [12, 70], 'qdim': 8, 'qvalues': [8, 0, 8, 0, 0, 0, 8, -4, -4, -4, -4, -4, 8, -4, 2, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, 2, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, -4, -4, 0, 0, 0, -4, 8, -4, -4, 0, 0, -4, 0, 0, 8, 0, -4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, -4, -4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492479
    {'cdim': 6, 'counter': 68, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6c', 'multiplicity': 2, 'nt': [24, 1328], 'qdim': 12, 'qvalues': [12, 0, -4, 4, 0, 0, -6, -6, -6, -6, 12, -6, -6, 12, -6, -6, 3, 3, 3, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 2, 0, 0, 0, -4, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, -2, -1, -2, 4, -2, -2, 4, 2, 2, -1, -1, -1, -2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -2, 1, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -4, 2, -4, 2, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492480
    {'cdim': 6, 'counter': 69, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6d', 'multiplicity': 2, 'nt': [24, 1328], 'qdim': 12, 'qvalues': [12, 0, -4, 4, 0, 0, -6, -6, 12, -6, -6, 12, -6, -6, 3, -6, 3, 3, -6, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, -4, 0, 0, 0, 2, 2, 2, -4, 0, 0, 2, 0, 0, 2, 0, 2, -2, -1, 4, -2, -2, -2, -2, -1, -1, 2, -1, -1, 4, -1, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 2, 2, -4, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492482
    {'cdim': 6, 'counter': 70, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6e', 'multiplicity': 2, 'nt': [24, 1328], 'qdim': 12, 'qvalues': [12, 0, -4, 4, 0, 0, -6, 12, -6, 12, -6, -6, -6, -6, 3, -6, 3, -6, 3, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 2, 0, 0, 0, 2, 2, -4, 2, 0, 0, -4, 0, 0, 2, 0, 2, -2, 2, -2, -2, -2, 4, -2, -1, -1, -1, -1, -1, -2, 2, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492483
    {'cdim': 6, 'counter': 71, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6f', 'multiplicity': 2, 'nt': [24, 1328], 'qdim': 12, 'qvalues': [12, 0, -4, 4, 0, 0, 12, -6, -6, -6, -6, -6, 12, -6, 3, -6, -6, 3, 3, 3, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 2, 0, 0, 0, 2, -4, 2, 2, 0, 0, 2, 0, 0, -4, 0, 2, 4, -1, -2, -2, 4, -2, -2, -1, -1, -1, 2, 2, -2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, -4, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492484
    {'cdim': 6, 'counter': 72, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6g', 'multiplicity': 2, 'nt': [36, 598], 'qdim': 12, 'qvalues': [12, 0, -4, -4, 0, 0, -6, -6, -6, -6, 12, -6, -6, 12, -6, -6, 3, 3, 3, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 2, 0, 0, 0, -4, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, -1, 2, -4, 2, 2, -4, 2, 2, -1, -1, -1, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 2, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 4, -2, 4, -2, 1, 1, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492485
    {'cdim': 6, 'counter': 73, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6h', 'multiplicity': 2, 'nt': [36, 598], 'qdim': 12, 'qvalues': [12, 0, -4, -4, 0, 0, -6, -6, 12, -6, -6, 12, -6, -6, 3, -6, 3, 3, -6, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, -4, 0, 0, 0, 2, 2, 2, -4, 0, 0, 2, 0, 0, 2, 0, 2, 2, -1, -4, 2, 2, 2, 2, -1, -1, 2, -1, -1, -4, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, -2, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492486
    {'cdim': 6, 'counter': 74, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6i', 'multiplicity': 2, 'nt': [36, 598], 'qdim': 12, 'qvalues': [12, 0, -4, -4, 0, 0, -6, 12, -6, 12, -6, -6, -6, -6, 3, -6, 3, -6, 3, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 0, 0, 2, 2, -4, 2, 0, 0, -4, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, -4, 2, -1, -1, -1, -1, -1, 2, 2, -1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5492487
    {'cdim': 6, 'counter': 75, 'faithful': False, 'group': '1296.3545', 'group_order': 1296, 'image': None, 'label': '1296.3545.6j', 'multiplicity': 2, 'nt': [36, 598], 'qdim': 12, 'qvalues': [12, 0, -4, -4, 0, 0, 12, -6, -6, -6, -6, -6, 12, -6, 3, -6, -6, 3, 3, 3, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 0, 0, 2, -4, 2, 2, 0, 0, 2, 0, 0, -4, 0, 2, -4, -1, 2, 2, -4, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 4, 4, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 1, 1, 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: 10698876
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1296, 'label': '1296.3545.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10698923
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 648, 'label': '1296.3545.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 10698934
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 648, 'label': '1296.3545.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 10698945
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 648, 'label': '1296.3545.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 10698956
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[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, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 10698967
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[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, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]]]}
  • id: 10698978
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 7, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1f1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 0]]]}
  • id: 10698989
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 8, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1f2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, 0]]]}
  • id: 10699000
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1g1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 10698877
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1g2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 10698888
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1h1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 10698899
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3545.1h2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 10698910
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1i1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-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, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 10698917
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1i2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-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, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]]]}
  • id: 10698918
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1j1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-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, -1]], [[1, 0]]]}
  • id: 10698919
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-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, 1]], [[1, 0]]]}
  • id: 10698920
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1k1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-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, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 10698921
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1k2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-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, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 10698922
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1l1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 10698924
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 216, 'label': '1296.3545.1l2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 10698925
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1m1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-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, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 10698926
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1m2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 10698927
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1n1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 0]]]}
  • id: 10698928
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1n2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, 0]]]}
  • id: 10698929
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 25, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1o1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-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, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10698930
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1o2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-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, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10698931
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1p1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 10698932
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3545.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[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, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 10698933
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1q1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[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, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[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, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 10698935
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1q2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[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, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 10698936
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1r1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-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, -1]], [[-1, 0]]]}
  • id: 10698937
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1r2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-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, 1]], [[-1, 0]]]}
  • id: 10698938
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 33, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1s1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[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, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[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, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10698939
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 34, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1s2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[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, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[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, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10698940
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1t1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 10698941
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 36, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3545.1t2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 10698942
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 37, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.d1', 'kernel_order': 216, 'label': '1296.3545.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698943
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 38, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.b1', 'kernel_order': 216, 'label': '1296.3545.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698944
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 39, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 108, 'label': '1296.3545.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698946
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 108, 'label': '1296.3545.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698947
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 41, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2e1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698948
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 42, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2e2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698949
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 43, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2f1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698950
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 44, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2f2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698951
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 45, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2g1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698952
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 46, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2g2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698953
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 47, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2h1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698954
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 48, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3545.2h2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698955
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 49, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2i1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698957
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 50, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2i2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698958
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 51, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2j1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698959
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 52, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2j2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698960
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 53, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2k1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698961
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 54, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2k2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698962
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 55, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2l1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698963
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 56, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.a1', 'kernel_order': 72, 'label': '1296.3545.2l2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698964
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 57, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2m1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698965
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 58, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2m2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-2, 0]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698966
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 59, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2n1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, 0]], [[-2, 0]], [[2, -1]], [[-2, 1]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698968
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 60, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2n2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, -1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698969
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 61, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2o1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698970
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 62, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2o2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[-2, -1]], [[-2, 0]], [[2, 0]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698971
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 63, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2p1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, 0]], [[-2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698972
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 64, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.a1', 'kernel_order': 36, 'label': '1296.3545.2p2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698973
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 65, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2q1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[-2, 1]], [[-1, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-2, 1]], [[-1, -1]], [[-1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698974
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 66, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2q2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[-2, -1]], [[-1, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-2, -1]], [[-1, 1]], [[-1, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698975
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 67, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2r1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[-2, 1]], [[-1, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-2, 0]], [[-1, 1]], [[-1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698976
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 68, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2r2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[-2, -1]], [[-1, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-2, 0]], [[-1, -1]], [[-1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698977
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 69, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2s1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[-1, 0]], [[-2, 1]], [[-1, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-2, -1]], [[-1, 0]], [[-1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698979
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 70, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2s2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-1, 0]], [[-2, -1]], [[-1, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-2, 1]], [[-1, 0]], [[-1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698980
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 71, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2t1', 'nt': [12, 18], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698981
    {'center': '6.d1', 'center_index': 6, 'center_order': 216, 'counter': 72, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.12', 'image_order': 36, 'indicator': 0, 'kernel': '36.b1', 'kernel_order': 36, 'label': '1296.3545.2t2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-2, -1]], [[-1, -1]], [[-1, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698982
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 73, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 54, 'label': '1296.3545.3a', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10698983
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 74, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 54, 'label': '1296.3545.3b', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10698984
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 75, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 27, 'label': '1296.3545.3c', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10698985
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 76, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 27, 'label': '1296.3545.3d', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10698986
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 77, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3e1', 'nt': [12, 45], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[3, 0]], [[3, 1]], [[-1, 1]], [[3, -1]], [[3, 1]], [[-1, -1]], [[3, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 10698987
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 78, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3e2', 'nt': [12, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[3, 0]], [[3, -1]], [[-1, -1]], [[3, 1]], [[3, -1]], [[-1, 1]], [[3, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 10698988
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 79, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3f1', 'nt': [12, 45], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[3, -1]], [[3, -1]], [[-1, -1]], [[3, 0]], [[3, 0]], [[-1, -1]], [[3, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-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, -1]], [[-1, 0]]]}
  • id: 10698990
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 80, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3f2', 'nt': [12, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[3, 1]], [[3, 1]], [[-1, 1]], [[3, 0]], [[3, 0]], [[-1, 1]], [[3, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-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, 1]], [[-1, 0]]]}
  • id: 10698991
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 81, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3g1', 'nt': [12, 45], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[3, 1]], [[3, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[-1, -1]], [[3, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10698992
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 82, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3g2', 'nt': [12, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[3, -1]], [[3, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[-1, 1]], [[3, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10698993
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 83, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3h1', 'nt': [12, 45], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[3, -1]], [[3, 1]], [[-1, 0]], [[3, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-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, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 10698994
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 84, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3h2', 'nt': [12, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[3, 1]], [[3, -1]], [[-1, 0]], [[3, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 10698995
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 85, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3i1', 'nt': [18, 30], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[3, 0]], [[3, 1]], [[-1, 1]], [[3, -1]], [[3, 1]], [[-1, -1]], [[3, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-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, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 10698996
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 86, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3i2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[3, 0]], [[3, -1]], [[-1, -1]], [[3, 1]], [[3, -1]], [[-1, 1]], [[3, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]]]}
  • id: 10698997
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 87, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3j1', 'nt': [18, 30], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[3, -1]], [[3, -1]], [[-1, -1]], [[3, 0]], [[3, 0]], [[-1, -1]], [[3, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 0]]]}
  • id: 10698998
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 88, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3j2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[3, 1]], [[3, 1]], [[-1, 1]], [[3, 0]], [[3, 0]], [[-1, 1]], [[3, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, 0]]]}
  • id: 10698999
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 89, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3k1', 'nt': [18, 30], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[3, 1]], [[3, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[-1, -1]], [[3, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 10699001
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 90, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3k2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[3, -1]], [[3, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[-1, 1]], [[3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 10699002
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 91, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3l1', 'nt': [18, 30], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[3, -1]], [[3, 1]], [[-1, 0]], [[3, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 10699003
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 92, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3545.3l2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[3, 1]], [[3, -1]], [[-1, 0]], [[3, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 10699004
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 93, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3m1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-3, 0]], [[-3, 1]], [[-1, 1]], [[-3, -1]], [[-3, 1]], [[-1, -1]], [[-3, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[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, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 10699005
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 94, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3m2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-3, 0]], [[-3, -1]], [[-1, -1]], [[-3, 1]], [[-3, -1]], [[-1, 1]], [[-3, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[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, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 10699006
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 95, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3n1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-3, -1]], [[-3, -1]], [[-1, -1]], [[-3, 0]], [[-3, 0]], [[-1, -1]], [[-3, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 0]]]}
  • id: 10699007
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 96, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3n2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-3, 1]], [[-3, 1]], [[-1, 1]], [[-3, 0]], [[-3, 0]], [[-1, 1]], [[-3, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, 0]]]}
  • id: 10699008
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 97, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3o1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-3, 1]], [[-3, 0]], [[-1, 0]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-3, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10699009
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 98, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3o2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-3, -1]], [[-3, 0]], [[-1, 0]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10699010
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 99, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3p1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-3, -1]], [[-3, 1]], [[-1, 0]], [[-3, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 10698878
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 100, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3p2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-3, 1]], [[-3, -1]], [[-1, 0]], [[-3, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 10698879
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 101, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3q1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-3, 0]], [[-3, 1]], [[-1, 1]], [[-3, -1]], [[-3, 1]], [[-1, -1]], [[-3, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[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, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 10698880
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 102, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3q2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-3, 0]], [[-3, -1]], [[-1, -1]], [[-3, 1]], [[-3, -1]], [[-1, 1]], [[-3, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[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, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]]]}
  • id: 10698881
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 103, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3r1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-3, -1]], [[-3, -1]], [[-1, -1]], [[-3, 0]], [[-3, 0]], [[-1, -1]], [[-3, 1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-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, -1]], [[1, 0]]]}
  • id: 10698882
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 104, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3r2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-3, 1]], [[-3, 1]], [[-1, 1]], [[-3, 0]], [[-3, 0]], [[-1, 1]], [[-3, -1]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-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, 1]], [[1, 0]]]}
  • id: 10698883
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 105, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3s1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-3, 1]], [[-3, 0]], [[-1, 0]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-3, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, 0]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 10698884
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 106, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3s2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-3, -1]], [[-3, 0]], [[-1, 0]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-3, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 0]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 10698885
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 107, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3t1', 'nt': [18, 61], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-3, -1]], [[-3, 1]], [[-1, 0]], [[-3, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-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, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 10698886
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 108, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.188', 'image_order': 144, 'indicator': 0, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3545.3t2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-3, 1]], [[-3, -1]], [[-1, 0]], [[-3, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-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, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 10698887
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 109, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '36.10', 'image_order': 36, 'indicator': 1, 'kernel': '36.c1', 'kernel_order': 36, 'label': '1296.3545.4a', 'nt': [6, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698889
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 110, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4b1', 'nt': [12, 70], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698890
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 111, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4b2', 'nt': [12, 2], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, -1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698891
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 112, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4c1', 'nt': [12, 70], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, 0]], [[4, 1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698892
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 113, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4c2', 'nt': [12, 2], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 0]], [[4, -1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698893
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 114, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4d1', 'nt': [12, 70], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 1]], [[4, 0]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698894
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 115, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4d2', 'nt': [12, 2], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, -1]], [[4, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698895
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 116, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4e1', 'nt': [12, 70], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 0]], [[4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698896
    {'center': '36.c1', 'center_index': 36, 'center_order': 36, 'counter': 117, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '108.38', 'image_order': 108, 'indicator': 0, 'kernel': '108.a1', 'kernel_order': 12, 'label': '1296.3545.4e2', 'nt': [12, 2], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, 1]], [[4, -1]], [[4, 0]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 0]], [[4, -1]], [[4, -1]], [[0, 0]], [[0, 0]], [[4, 1]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698897
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 118, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.183', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3545.6a', 'nt': [12, 83], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, 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]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698898
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 119, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '144.183', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3545.6b', 'nt': [18, 69], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698900
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 120, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6c1', 'nt': [24, 1328], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[2, 1]], [[1, 1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[2, 1]], [[1, -1]], [[1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698901
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 121, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6c2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[2, -1]], [[1, -1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[2, -1]], [[1, 1]], [[1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698902
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 122, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6d1', 'nt': [24, 1328], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, 1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[2, 1]], [[1, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[2, 0]], [[1, 1]], [[1, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698903
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 123, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6d2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, -1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[2, -1]], [[1, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[2, 0]], [[1, -1]], [[1, 0]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698904
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 124, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6e1', 'nt': [24, 1328], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[2, 1]], [[1, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[2, -1]], [[1, 0]], [[1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698905
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 125, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6e2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, -1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[2, -1]], [[1, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[2, 1]], [[1, 0]], [[1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698906
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 126, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6f1', 'nt': [24, 1328], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, 0]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698907
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 127, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6f2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, 0]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[2, -1]], [[1, -1]], [[1, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698908
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 128, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6g1', 'nt': [36, 598], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[-2, 1]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698909
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 129, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6g2', 'nt': [36, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[-2, -1]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698911
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 130, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6h1', 'nt': [36, 598], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, 1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698912
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 131, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6h2', 'nt': [36, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 0]], [[6, -1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698913
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 132, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6i1', 'nt': [36, 598], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[1, 0]], [[-2, 1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698914
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 133, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6i2', 'nt': [36, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 1]], [[6, 0]], [[6, -1]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, -1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[1, 0]], [[-2, -1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698915
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 134, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6j1', 'nt': [36, 598], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, -1]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, 0]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, -1]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10698916
    {'center': '144.b1', 'center_index': 144, 'center_order': 9, 'counter': 135, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3545', 'group_counter': 3545, 'group_order': 1296, 'image': None, 'image_isoclass': '432.745', 'image_order': 432, 'indicator': 0, 'kernel': '432.a1', 'kernel_order': 3, 'label': '1296.3545.6j2', 'nt': [36, 2], 'q_character': None, 'values': [[[6, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 1]], [[6, 1]], [[6, -1]], [[6, 1]], [[6, -1]], [[6, 0]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-2, -1]], [[1, -1]], [[1, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[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: 71130862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 1296, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1296.3545.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3545', 'subgroup_hash': 3545, 'subgroup_order': 1296, 'subgroup_tex': 'C_6^2:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 71130973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 648, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '648.739', 'subgroup_hash': 739, 'subgroup_order': 648, 'subgroup_tex': 'S_3\\times C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 648, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '648.735', 'subgroup_hash': 735, 'subgroup_order': 648, 'subgroup_tex': 'S_4\\times C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 71131054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 648, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '648.736', 'subgroup_hash': 736, 'subgroup_order': 648, 'subgroup_tex': 'C_3^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 9, 'characteristic': False, 'core_order': 432, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, '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': '432.745', 'subgroup_hash': 745, 'subgroup_order': 432, 'subgroup_tex': 'C_6^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 71131076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 216, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.3.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, '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': '432.760', 'subgroup_hash': 760, 'subgroup_order': 432, 'subgroup_tex': 'A_4:C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 71131087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 216, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.3.c1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 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': '432.704', 'subgroup_hash': 704, 'subgroup_order': 432, 'subgroup_tex': 'C_{12}:C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 324, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '324.171', 'subgroup_hash': 171, 'subgroup_order': 324, 'subgroup_tex': 'A_4\\times C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 71131109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 54, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.4.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '324.165', 'subgroup_hash': 165, 'subgroup_order': 324, 'subgroup_tex': 'C_3^2\\times S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 216, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', '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': '216.166', 'subgroup_hash': 166, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 71130874
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 216, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', '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': '216.174', 'subgroup_hash': 174, 'subgroup_order': 216, 'subgroup_tex': 'S_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 216, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '216.163', 'subgroup_hash': 163, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 54, 'characteristic': True, 'core_order': 216, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', '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': '216.163', 'subgroup_hash': 163, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 216, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '216.164', 'subgroup_hash': 164, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130918
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 108, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '216.173', 'subgroup_hash': 173, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 71130929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 54, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.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': '216.174', 'subgroup_hash': 174, 'subgroup_order': 216, 'subgroup_tex': 'S_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 54, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.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': '216.136', 'subgroup_hash': 136, 'subgroup_order': 216, 'subgroup_tex': 'C_6.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 72, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '216.166', 'subgroup_hash': 166, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 71130962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.139', 'subgroup_hash': 139, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.137', 'subgroup_hash': 137, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 108, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.151', 'subgroup_hash': 151, 'subgroup_order': 216, 'subgroup_tex': 'D_4\\times C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 72, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.163', 'subgroup_hash': 163, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 108, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.139', 'subgroup_hash': 139, 'subgroup_order': 216, 'subgroup_tex': 'C_6^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 108, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.163', 'subgroup_hash': 163, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 36, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.6.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '216.163', 'subgroup_hash': 163, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 54, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '162.51', 'subgroup_hash': 51, 'subgroup_order': 162, 'subgroup_tex': 'S_3\\times C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71131040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 27, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '162.51', 'subgroup_hash': 51, 'subgroup_order': 162, 'subgroup_tex': 'S_3\\times C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71131041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 27, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '162.52', 'subgroup_hash': 52, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71131042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 9, 'characteristic': True, 'core_order': 144, 'counter': 29, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.183', 'subgroup_hash': 183, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 36, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '144.179', 'subgroup_hash': 179, 'subgroup_order': 144, 'subgroup_tex': 'C_4:C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 72, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.9.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 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': '144.188', 'subgroup_hash': 188, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 72, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.9.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 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': '144.162', 'subgroup_hash': 162, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 108, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', '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': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131048
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': True, 'core_order': 108, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], '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: 71131049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 108, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131050
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131051
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 54, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131052
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 54, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 18, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '108.38', 'subgroup_hash': 38, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 27, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.45', 'subgroup_hash': 45, 'subgroup_order': 108, 'subgroup_tex': 'C_3\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 27, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131057
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 27, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.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': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 27, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.35', 'subgroup_hash': 35, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71131059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 27, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '108.32', 'subgroup_hash': 32, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71131060
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 36, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131061
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 36, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131062
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 12, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 36, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.41', 'subgroup_hash': 41, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 27, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.12.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.42', 'subgroup_hash': 42, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131066
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 27, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '1296.3545.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': 15, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 71131067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 72, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.a1', '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': '72.48', 'subgroup_hash': 48, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 72, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.44', 'subgroup_hash': 44, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 53, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.c1', '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': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 72, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 72, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.43', 'subgroup_hash': 43, 'subgroup_order': 72, 'subgroup_tex': 'C_3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '72.50', 'subgroup_hash': 50, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71131074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 36, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '72.47', 'subgroup_hash': 47, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 12, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '72.47', 'subgroup_hash': 47, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 36, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.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': 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': '72.50', 'subgroup_hash': 50, 'subgroup_order': 72, 'subgroup_tex': 'C_2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 18, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '72.48', 'subgroup_hash': 48, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 18, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71131080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 24, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '72.44', 'subgroup_hash': 44, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.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': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71131083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71131085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 36, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 12, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 36, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 24, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 36, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.37', 'subgroup_hash': 37, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 36, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71131092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 36, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 12, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.18.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 216, 'characteristic': True, 'core_order': 54, 'counter': 76, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 71131096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 18, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 18, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131099
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 27, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 27, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71131101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 9, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 3, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 27, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131105
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 27, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 9, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.12', 'subgroup_hash': 12, 'subgroup_order': 54, 'subgroup_tex': 'S_3\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 9, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 71131110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 12, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.27.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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71131111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 24, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.27.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 24, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.27.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 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': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71131113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 36, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.36.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': '36.12', '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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 36, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 36, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.36.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': '36.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3^2', '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: 71131116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 36, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71131117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 9, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71131119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 3, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 18, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130865
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 18, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130866
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 6, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '36.10', 'subgroup_hash': 10, 'subgroup_order': 36, 'subgroup_tex': 'S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130867
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 9, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130868
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130869
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130870
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130872
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130873
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130875
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 9, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130877
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130878
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130879
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 12, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130881
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 12, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 12, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130883
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 12, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130884
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 12, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130886
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 12, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 4, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130888
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 4, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130889
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 71130890
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.36.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 27, 'counter': 125, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130893
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130894
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130895
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 9, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71130899
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': True, 'core_order': 24, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 71130900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 54, 'characteristic': True, 'core_order': 24, 'counter': 133, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 12, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.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': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130904
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 12, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130905
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 4, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130906
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 6, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130908
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 6, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.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': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 3, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.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': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 3, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.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': 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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 12, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.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': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 12, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.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': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 4, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 12, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 12, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 12, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.54.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130921
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 216, 'characteristic': False, 'core_order': 18, 'counter': 152, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 71130922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 9, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130925
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 6, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130926
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 6, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130930
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 9, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 9, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 9, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.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': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130934
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130935
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 3, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130936
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.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': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 9, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130938
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 9, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 9, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 3, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 3, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 3, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.72.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 4, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1296.3545.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.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': 81, 'quotient_simple': 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: 71130946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 12, 'counter': 175, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.108.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': '108.38', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3^2', '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: 71130947
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': True, 'core_order': 12, 'counter': 176, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.108.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': '108.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2\\times D_6', '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: 71130948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 12, 'counter': 177, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.108.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '108.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 3, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 6, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 6, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130960
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130963
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.108.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130964
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 191, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.108.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130965
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 192, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.108.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130966
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71130967
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.108.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71130968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 4, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 4, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 4, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': False, 'core_order': 4, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 71130972
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.108.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71130976
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 9, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.188', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 188, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6\\times S_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: 71130977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 9, 'counter': 202, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.183', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 183, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], '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: 71130978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 3, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, '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': 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: 71130979
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130980
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130981
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130982
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130983
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 3, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130987
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.144.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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: 71130989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 4, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 4, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 4, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.162.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.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': 162, 'quotient_simple': 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: 71130997
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': True, 'centralizer_order': 216, 'characteristic': True, 'core_order': 6, 'counter': 220, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3545.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 163, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71130998
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 221, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71130999
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, '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': 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: 71131000
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, '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': 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: 71131001
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 3, 'counter': 224, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131002
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 225, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131003
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131004
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 3, 'counter': 227, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131005
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 3, 'counter': 228, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131006
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131008
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.216.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131009
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 3, 'counter': 231, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131010
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.216.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131011
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 3, 'counter': 233, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.216.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131012
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 3, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.216.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.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': 216, 'quotient_simple': 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: 71131013
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.216.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': 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: 71131014
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.216.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': 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: 71131015
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': True, 'core_order': 4, 'counter': 237, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3545.324.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '324.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '324.165', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 324, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2\\times S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C6'], '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: 71131016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131022
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.324.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131023
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.324.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131024
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3545.324.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.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': 324, 'quotient_simple': 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: 71131025
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': False, 'core_order': 3, 'counter': 246, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1296.3545.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.745', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 745, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^2:D_6', '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: 71131026
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 3, 'counter': 247, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1296.3545.432.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '432.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.760', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 760, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4:C_6^2', '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: 71131027
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.432.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.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': 432, '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: 71131028
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.432.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.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': 432, '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: 71131030
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.432.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.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': 432, '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: 71131031
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.432.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.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': 432, '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: 71131032
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.432.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.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': 432, '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: 71131033
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.648.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, '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: 71131034
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 432, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.648.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, '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: 71131035
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.648.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, '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: 71131036
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.648.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, '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: 71131037
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': False, 'central_factor': False, 'centralizer_order': 72, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3545.648.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '648.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': 648, '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: 71131038
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3545', 'ambient_counter': 3545, 'ambient_order': 1296, 'ambient_tex': 'C_6^2:S_3^2', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 1, 'counter': 258, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1296.3545.1296.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1296.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1296.3545', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3545, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1296, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^2:S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D3', '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: 71130932
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '72.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.h1', '36.l1'], 'contains': ['144.c1', '216.h1', '216.j1'], 'core': '432.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5617, -1, 4757, -1], 'generators': [3, 2, 432], 'label': '1296.3545.72.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1', 'old_label': '72.k1', 'projective_image': '432.745', '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': '1.1'}
  • id: 71130870
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '36.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '18.j1', '18.n1', '18.p1'], 'contains': ['72.i1', '72.p1', '108.l1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9737, -1, 6252, -1], 'generators': [666, 756, 2, 576], 'label': '1296.3545.36.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '36.n1', 'projective_image': '144.183', '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: 71130871
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.i1', '18.a1', '18.o1', '18.q1'], 'contains': ['72.g1', '72.q1', '108.l1', '108.m1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9194, -1, 7731, -1], 'generators': [666, 756, 2, 72], 'label': '1296.3545.36.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.o1', 'projective_image': '432.745', '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: 71130862
    {'ambient': '1296.3545', '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': '144.b1', 'complements': ['1296.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '3.a1', '3.b1', '3.c1', '4.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4406, 5408, 3268, 3552], 'generators': [3, 12, 72, 18, 432, 648, 108, 2], 'label': '1296.3545.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '144.183', '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': '144.183'}
  • id: 71130863
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '144.b1', 'complements': ['216.j1', '216.h1', '216.n1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '18.a1', '18.b1', '18.h1', '18.m1', '24.c1'], 'core': '6.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3499, 4899, 3045, 6459], 'generators': [18, 72, 648, 2, 12, 108], 'label': '1296.3545.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '18.a1', '18.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '432.745', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '144.183'}
  • id: 71130864
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '18.a1', '18.k1', '18.l1'], 'contains': ['72.a1', '72.g1', '72.q1', '108.d1', '108.g1'], 'core': '72.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7867, -1, 6859, -1], 'generators': [18, 756, 2, 72], 'label': '1296.3545.36.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.h1', 'projective_image': '432.745', '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': '6.1'}
  • id: 71130865
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.g1', '18.k1'], 'contains': ['72.a1', '72.j1', '72.s1', '108.e1', '108.h1'], 'core': '72.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4311, -1, 4960, -1], 'generators': [3, 18, 2, 72], 'label': '1296.3545.36.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '36.i1', 'projective_image': '432.745', '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: 71130866
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '36.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '36.10', 'aut_weyl_index': 192, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '12.g1'], 'contains': ['72.e1', '72.n1', '72.v1', '108.f1', '108.h1'], 'core': '216.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2352, -1, 1687, -1], 'generators': [3, 18, 12, 72], 'label': '1296.3545.36.j1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '36.j1', 'projective_image': '1296.3545', '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': '36.10'}
  • id: 71130867
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '36.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.h1', '18.k1', '18.o1', '18.r1'], 'contains': ['72.g1', '72.j1', '108.i1', '108.j1', '108.k1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8055, -1, 7615, -1], 'generators': [3, 108, 2, 72], 'label': '1296.3545.36.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.k1', 'projective_image': '432.745', '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': '4.2'}
  • id: 71130868
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '36.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.h1', '18.s1'], 'contains': ['72.h1', '72.k1', '108.i1', '108.k1'], 'core': '432.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7664, -1, 6508, -1], 'generators': [3, 108, 2, 432], 'label': '1296.3545.36.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '36.l1', 'projective_image': '432.745', '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: 71130869
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '18.f1', '18.n1', '18.t1'], 'contains': ['72.i1', '72.l1', '108.i1'], 'core': '144.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9050, -1, 5995, -1], 'generators': [3, 108, 2, 576], 'label': '1296.3545.36.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.m1', 'projective_image': '144.183', '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': '2.1'}
  • id: 71130872
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '36.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1', '18.f1', '18.p1', '18.v1'], 'contains': ['72.i1', '72.r1', '108.n1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [7351, -1, 5739, -1], 'generators': [21, 108, 2, 576], 'label': '1296.3545.36.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '36.p1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130873
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.q1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '18.k1', '18.q1', '18.w1'], 'contains': ['72.g1', '72.s1', '108.n1', '108.o1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7202, -1, 7498, -1], 'generators': [21, 108, 2, 72], 'label': '1296.3545.36.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.q1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.q1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130874
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1728.46336', 'aut_weyl_index': 4, 'centralizer': '36.c1', 'complements': ['216.k1', '216.p1', '216.q1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.c1'], 'contains': ['12.b1', '12.e1', '12.i1', '18.a1', '18.j1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6080, 1059, 5615, 3954], 'generators': [18, 72, 432, 756, 648, 2], 'label': '1296.3545.6.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.b1', '18.a1', '24.a1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '144.183', 'quotient_action_image': '6.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71130875
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '36.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.k1', '18.l1', '18.q1', '18.r1'], 'contains': ['72.g1', '108.p1', '108.r1', '108.t1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9341, -1, 9584, -1], 'generators': [759, 2, 72, 108], 'label': '1296.3545.36.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.r1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130876
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.l1', '18.l1', '18.o1', '18.w1'], 'contains': ['72.g1', '108.q1', '108.s1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8652, -1, 9161, -1], 'generators': [777, 2, 108, 72], 'label': '1296.3545.36.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.s1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.s1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130877
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '36.t1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.k1', '18.s1'], 'contains': ['72.h1', '108.p1', '108.t1'], 'core': '432.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8853, -1, 8372, -1], 'generators': [759, 2, 432, 108], 'label': '1296.3545.36.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '36.t1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130878
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '18.g1', '18.p1', '18.t1'], 'contains': ['72.i1', '108.p1'], 'core': '144.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9858, -1, 7339, -1], 'generators': [759, 2, 576, 108], 'label': '1296.3545.36.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.u1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130879
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '36.v1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1', '18.g1', '18.n1', '18.v1'], 'contains': ['72.i1', '108.q1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9578, -1, 7165, -1], 'generators': [777, 2, 576, 108], 'label': '1296.3545.36.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '36.v1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130880
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '36.w1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.b1', '12.n1', '12.o1', '18.s1'], 'contains': ['72.h1', '108.a1', '108.u1'], 'core': '108.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5435, -1, 5563, -1], 'generators': [756, 648, 2, 432], 'label': '1296.3545.36.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '36.w1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.w1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130881
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '36.x1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '12.m1', '12.o1', '18.i1'], 'contains': ['108.a1', '108.v1', '144.e1'], 'core': '108.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1894, -1, 2448, -1], 'generators': [14, 576, 108, 648], 'label': '1296.3545.36.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.x1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.x1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130882
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '36.y1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.o1', '12.p1', '18.y1'], 'contains': ['108.a1', '108.w1', '108.x1', '144.f1'], 'core': '108.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1760, -1, 3292, -1], 'generators': [2, 84, 108, 648], 'label': '1296.3545.36.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '36.y1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.y1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130883
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '36.z1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.n1', '12.o1', '12.p1'], 'contains': ['108.a1', '108.x1', '144.g1'], 'core': '108.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [982, -1, 2881, -1], 'generators': [86, 576, 108, 648], 'label': '1296.3545.36.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '36.z1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.z1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130884
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '36.ba1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.m1', '18.m1'], 'contains': ['108.b1', '108.v1', '108.x1', '144.i1'], 'core': '108.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1303, -1, 2592, -1], 'generators': [14, 72, 108, 648], 'label': '1296.3545.36.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '36.ba1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ba1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 71130885
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '96.226', 'aut_weyl_index': 72, 'centralizer': '48.a1', 'complements': ['216.b1', '216.l1', '216.d1', '216.n1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '18.c1', '18.d1', '18.r1', '18.u1', '24.g1'], 'core': '6.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4716, 8127, 4064, 2835], 'generators': [3, 648, 108, 2, 72, 12], 'label': '1296.3545.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '18.c1', '18.d1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '432.745', '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': '48.48'}
  • id: 71130886
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '36.bb1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.n1', '18.u1'], 'contains': ['108.c1', '108.u1', '108.x1', '144.j1'], 'core': '108.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [3721, -1, 3622, -1], 'generators': [74, 12, 108, 648], 'label': '1296.3545.36.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '36.bb1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.bb1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130887
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '36.bc1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.o1'], 'contains': ['108.u1', '108.v1', '108.w1', '108.x1', '144.k1'], 'core': '324.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2027, -1, 3148, -1], 'generators': [146, 84, 108, 648], 'label': '1296.3545.36.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '36.bc1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.bc1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130888
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '36.bd1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['12.m1', '12.n1', '12.o1'], 'contains': ['108.u1', '108.v1', '108.x1', '144.l1'], 'core': '324.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1513, -1, 2736, -1], 'generators': [14, 432, 108, 648], 'label': '1296.3545.36.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '36.bd1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.bd1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130889
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '36.be1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.q1', '18.f1'], 'contains': ['72.l1', '72.p1', '72.r1', '108.y1'], 'core': '144.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [8305, -1, 5076, -1], 'generators': [3, 126, 2, 576], 'label': '1296.3545.36.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '36.be1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.be1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130890
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.bf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '18.k1'], 'contains': ['72.j1', '72.q1', '72.s1', '108.y1', '108.z1'], 'core': '144.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7501, -1, 5359, -1], 'generators': [3, 126, 2, 72], 'label': '1296.3545.36.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '36.bf1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.bf1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130891
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '2.b1', 'complements': ['27.b1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.e1', '24.f1', '24.j1', '24.k1'], 'contains': ['144.a1', '144.b1', '144.c1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6345, 8516, 4349, 8798], 'generators': [2, 432, 72], 'label': '1296.3545.48.a1', 'mobius_quo': -3, 'mobius_sub': 24, 'normal_closure': '48.a1', 'normal_contained_in': ['12.b1', '24.a1'], 'normal_contains': ['144.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '144.183', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.12', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130892
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '16.a1', '24.c1', '24.g1', '24.n1'], 'contains': ['144.a1', '144.d1', '144.f1', '144.h1', '144.i1', '144.j1', '144.k1'], 'core': '144.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [835, -1, 2067, -1], 'generators': [2, 12, 72], 'label': '1296.3545.48.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '48.b1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130893
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '16.a1', '24.d1'], 'contains': ['144.a1', '144.e1', '144.g1', '144.i1', '144.l1'], 'core': '144.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [160, -1, 1402, -1], 'generators': [14, 432, 72], 'label': '1296.3545.48.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '48.c1', 'projective_image': '432.745', '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': '2.1'}
  • id: 71130894
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '16.a1', '24.h1'], 'contains': ['144.c1', '144.d1', '144.g1', '144.j1', '144.l1'], 'core': '432.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3329, -1, 1980, -1], 'generators': [2, 432, 12], 'label': '1296.3545.48.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '48.d1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130895
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1', '16.a1'], 'contains': ['144.c1', '144.e1', '144.f1', '144.g1', '144.k1', '144.l1'], 'core': '432.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [508, -1, 1531, -1], 'generators': [2, 432, 84], 'label': '1296.3545.48.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '48.e1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130896
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '24.a1', 'complements': ['216.a1', '216.m1', '216.o1', '216.q1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.b1'], 'contains': ['12.c1', '18.c1', '18.t1', '24.i1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5610, 3206, 3408, 596], 'generators': [3, 648, 108, 2, 576, 12], 'label': '1296.3545.6.d1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['12.c1', '18.c1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '144.183', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130897
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '16.a1', '24.b1', '24.i1', '24.l1'], 'contains': ['144.b1', '144.d1', '144.e1'], 'core': '144.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2584, -1, 1764, -1], 'generators': [2, 576, 12], 'label': '1296.3545.48.f1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '48.f1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130898
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1', '16.a1', '24.m1'], 'contains': ['144.b1', '144.f1', '144.g1'], 'core': '144.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [32, -1, 1892, -1], 'generators': [2, 576, 84], 'label': '1296.3545.48.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '48.g1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130899
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '54.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.10', 'aut_weyl_index': 192, 'centralizer': '36.c1', 'complements': ['24.h1', '24.i1', '24.l1', '24.m1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.b1', '18.m1', '27.c1'], 'contains': ['108.b1', '108.g1', '108.m1', '162.c1'], 'core': '54.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4664, 3788, 8054, 6007], 'generators': [18, 756, 648, 72], 'label': '1296.3545.54.a1', 'mobius_quo': 0, 'mobius_sub': 9, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '18.b1'], 'normal_contains': ['108.b1', '216.a1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '1296.3545', 'quotient_action_image': '18.3', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71130900
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '54.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '24.a1', 'complements': ['24.a1', '24.j1', '24.d1', '24.k1', '24.m1'], 'conjugacy_class_count': 1, 'contained_in': ['18.c1', '18.d1', '18.u1', '27.b1'], 'contains': ['108.c1', '162.f1', '216.k1'], 'core': '54.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5114, 5546, 4259, 3430], 'generators': [3, 12, 108, 648], 'label': '1296.3545.54.b1', 'mobius_quo': 0, 'mobius_sub': 9, 'normal_closure': '54.b1', 'normal_contained_in': ['18.c1', '18.d1'], 'normal_contains': ['108.c1'], 'normalizer': '1.a1', 'old_label': '54.b1', 'projective_image': '1296.3545', 'quotient_action_image': '1.1', 'quotient_action_kernel': '54.12', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130901
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '54.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.f1', '18.k1', '27.a1'], 'contains': ['108.d1', '108.e1', '108.i1', '108.n1', '108.y1', '162.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [7577, -1, 6380, -1], 'generators': [3, 18, 108, 2], 'label': '1296.3545.54.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '54.c1', 'projective_image': '432.745', '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: 71130902
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.g1', '18.l1', '27.a1'], 'contains': ['108.d1', '108.p1', '108.q1', '162.b1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9331, -1, 8985, -1], 'generators': [759, 18, 2, 108], 'label': '1296.3545.54.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '54.d1', 'projective_image': '432.745', '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': '2.1'}
  • id: 71130903
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.a1', '18.h1', '18.i1', '18.j1', '27.a1'], 'contains': ['108.a1', '108.d1', '108.l1', '162.c1'], 'core': '108.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5265, -1, 5867, -1], 'generators': [18, 756, 648, 2], 'label': '1296.3545.54.e1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.e1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130904
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '54.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1', '18.h1', '27.b1'], 'contains': ['108.c1', '162.c1', '216.c1'], 'core': '108.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4224, -1, 4071, -1], 'generators': [18, 12, 108, 648], 'label': '1296.3545.54.f1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.f1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130905
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '54.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.h1', '18.i1', '18.m1'], 'contains': ['108.v1', '162.c1', '216.d1'], 'core': '324.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1880, -1, 2303, -1], 'generators': [18, 14, 108, 648], 'label': '1296.3545.54.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '54.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130906
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '54.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.k1', '27.c1'], 'contains': ['108.g1', '108.h1', '108.j1', '108.o1', '108.z1', '162.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6758, -1, 7887, -1], 'generators': [3, 18, 108, 72], 'label': '1296.3545.54.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.h1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.h1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130907
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '144.b1', 'complements': ['216.b1', '216.l1', '216.d1', '216.j1', '216.h1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '18.e1', '18.w1', '18.x1', '18.y1', '24.n1'], 'core': '6.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3730, 6638, 3580, 5109], 'generators': [21, 648, 108, 2, 12, 72], 'label': '1296.3545.6.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.a1', '18.e1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': '432.745', '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': '144.183'}
  • id: 71130908
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '54.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.l1', '27.c1'], 'contains': ['108.g1', '108.r1', '108.s1', '162.b1'], 'core': '216.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7833, -1, 9937, -1], 'generators': [759, 18, 108, 72], 'label': '1296.3545.54.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.i1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.i1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130909
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '54.j1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.n1', '18.o1', '27.a1'], 'contains': ['108.i1', '108.l1', '108.q1', '162.d1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9145, -1, 8532, -1], 'generators': [3, 774, 2, 108], 'label': '1296.3545.54.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '54.j1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130910
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '54.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.o1', '27.c1'], 'contains': ['108.j1', '108.m1', '108.s1', '162.d1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7016, -1, 9721, -1], 'generators': [3, 774, 108, 72], 'label': '1296.3545.54.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.k1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.k1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71130911
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '54.l1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.p1', '18.q1', '27.a1'], 'contains': ['108.l1', '108.n1', '108.p1', '162.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9968, -1, 8678, -1], 'generators': [759, 774, 2, 108], 'label': '1296.3545.54.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '54.l1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130912
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '54.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.q1', '27.c1'], 'contains': ['108.m1', '108.o1', '108.r1', '162.e1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7944, -1, 9818, -1], 'generators': [759, 774, 108, 72], 'label': '1296.3545.54.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.m1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.m1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71130913
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '54.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.c1', '18.r1', '18.s1', '18.t1', '27.a1'], 'contains': ['108.a1', '108.i1', '108.p1', '162.f1'], 'core': '108.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7205, -1, 7004, -1], 'generators': [3, 648, 2, 108], 'label': '1296.3545.54.n1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.n1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130914
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '54.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '24.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1', '18.r1', '27.c1'], 'contains': ['108.b1', '108.j1', '108.r1', '162.f1'], 'core': '108.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5802, -1, 9423, -1], 'generators': [3, 648, 72, 108], 'label': '1296.3545.54.o1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.o1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.o1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71130915
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '54.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '24.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.r1', '18.s1', '18.u1'], 'contains': ['108.k1', '108.t1', '108.u1', '162.f1'], 'core': '324.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6903, -1, 8211, -1], 'generators': [3, 648, 74, 108], 'label': '1296.3545.54.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '54.p1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130916
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '54.q1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.v1', '18.w1', '18.x1', '18.y1', '27.a1'], 'contains': ['108.a1', '108.n1', '108.q1', '162.g1'], 'core': '108.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [5938, -1, 6714, -1], 'generators': [21, 648, 2, 108], 'label': '1296.3545.54.q1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '54.q1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130917
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '54.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '18.w1', '27.c1'], 'contains': ['108.b1', '108.o1', '108.s1', '162.g1'], 'core': '108.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5651, -1, 9300, -1], 'generators': [21, 648, 108, 72], 'label': '1296.3545.54.r1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.r1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.r1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71130918
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.b1'], 'contains': ['12.c1', '18.h1', '18.i1', '18.j1', '24.b1'], 'core': '12.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4284, -1, 2487, -1], 'generators': [18, 648, 108, 2, 576, 12], 'label': '1296.3545.6.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '6.f1', 'projective_image': '144.183', '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': '24.12'}
  • id: 71130919
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '54.s1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '18.x1', '27.b1'], 'contains': ['108.c1', '162.g1', '216.p1'], 'core': '108.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4514, -1, 4182, -1], 'generators': [21, 12, 108, 648], 'label': '1296.3545.54.s1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.s1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.s1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130920
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '54.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '18.y1'], 'contains': ['108.w1', '162.g1', '216.q1'], 'core': '324.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2958, -1, 3960, -1], 'generators': [21, 84, 108, 648], 'label': '1296.3545.54.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.p1', 'old_label': '54.t1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.t1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130921
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '6.d1', 'complements': ['18.u1', '18.c1', '18.x1', '18.y1'], 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '24.c1', '24.d1', '36.h1', '36.i1'], 'contains': ['144.a1', '216.a1', '216.b1'], 'core': '72.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3817, 9321, 4087, 9580], 'generators': [18, 2, 72], 'label': '1296.3545.72.a1', 'mobius_quo': 0, 'mobius_sub': 12, 'normal_closure': '72.a1', 'normal_contained_in': ['18.a1', '24.a1'], 'normal_contains': ['144.a1', '216.a1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '432.745', 'quotient_action_image': '3.1', 'quotient_action_kernel': '24.12', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130922
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.h1', '24.b1', '24.c1', '36.g1'], 'contains': ['144.d1', '216.b1', '216.c1', '216.d1'], 'core': '432.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3174, -1, 1647, -1], 'generators': [18, 2, 12], 'label': '1296.3545.72.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '72.b1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130923
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.i1', '24.b1', '24.d1'], 'contains': ['144.e1', '216.b1', '216.d1'], 'core': '432.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1587, -1, 1083, -1], 'generators': [18, 14, 576], 'label': '1296.3545.72.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.b1', 'old_label': '72.c1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130924
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '3.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.b1', '36.e1', '36.f1'], 'contains': ['144.b1', '216.b1'], 'core': '144.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3952, -1, 3942, -1], 'generators': [18, 2, 576], 'label': '1296.3545.72.d1', 'mobius_quo': None, 'mobius_sub': 12, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '72.d1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130925
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '48.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1', '24.c1', '36.j1'], 'contains': ['144.h1', '216.a1', '216.c1'], 'core': '216.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2284, -1, 2328, -1], 'generators': [18, 12, 72], 'label': '1296.3545.72.e1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '72.e1', 'projective_image': '1296.3545', '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': '12.4'}
  • id: 71130926
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '48.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.m1', '24.c1', '24.d1'], 'contains': ['144.i1', '216.a1', '216.d1'], 'core': '216.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [418, -1, 818, -1], 'generators': [18, 14, 72], 'label': '1296.3545.72.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '72.f1', 'projective_image': '1296.3545', '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': '6.1'}
  • id: 71130927
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '6.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '36.a1', '36.h1', '36.k1', '36.o1', '36.q1', '36.r1', '36.s1'], 'contains': ['144.a1', '216.e1', '216.f1', '216.g1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8808, -1, 7179, -1], 'generators': [756, 2, 72], 'label': '1296.3545.72.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '72.g1', 'projective_image': '432.745', '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': '2.1'}
  • id: 71130928
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '6.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '36.l1', '36.t1', '36.w1'], 'contains': ['144.c1', '216.e1', '216.g1'], 'core': '432.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8501, -1, 6219, -1], 'generators': [756, 2, 432], 'label': '1296.3545.72.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '72.h1', 'projective_image': '432.745', '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: 71130929
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.e1', '12.f1', '12.h1', '12.j1', '12.q1', '18.f1', '18.k1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7552, -1, 5350, -1], 'generators': [3, 72, 432, 18, 108, 2], 'label': '1296.3545.6.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.g1', 'projective_image': '144.183', '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: 71130930
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '72.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '3.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1', '36.c1', '36.e1', '36.m1', '36.n1', '36.p1', '36.u1', '36.v1'], 'contains': ['144.b1', '216.e1'], 'core': '144.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9555, -1, 6073, -1], 'generators': [756, 2, 576], 'label': '1296.3545.72.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '72.i1', 'projective_image': '144.183', '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: 71130931
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '72.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.g1', '36.i1', '36.k1', '36.bf1'], 'contains': ['144.a1', '216.h1', '216.i1', '216.j1'], 'core': '144.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5752, -1, 5124, -1], 'generators': [3, 2, 72], 'label': '1296.3545.72.j1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '72.j1', 'projective_image': '432.745', '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': '2.1'}
  • id: 71130933
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '72.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.i1', '36.f1', '36.m1', '36.be1'], 'contains': ['144.b1', '216.h1'], 'core': '144.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5886, -1, 4611, -1], 'generators': [3, 2, 576], 'label': '1296.3545.72.l1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '72.l1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130934
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '72.m1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.c1', '24.g1', '24.h1', '24.i1', '36.g1'], 'contains': ['144.d1', '216.h1', '216.k1'], 'core': '432.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3002, -1, 3038, -1], 'generators': [3, 2, 12], 'label': '1296.3545.72.m1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '72.m1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.m1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130935
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '72.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1', '24.g1', '36.j1'], 'contains': ['144.h1', '216.i1', '216.k1'], 'core': '432.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2036, -1, 3326, -1], 'generators': [3, 72, 12], 'label': '1296.3545.72.n1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '72.n1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.n1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130936
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '72.o1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.u1', '24.g1', '24.h1'], 'contains': ['144.j1', '216.j1', '216.k1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3608, -1, 3182, -1], 'generators': [3, 74, 12], 'label': '1296.3545.72.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '72.o1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.o1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130937
    {'ambient': '1296.3545', 'aut_centralizer_order': 16, 'aut_label': '72.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '36.e1', '36.n1', '36.be1'], 'contains': ['144.b1', '216.l1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8636, -1, 5270, -1], 'generators': [774, 2, 576], 'label': '1296.3545.72.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '72.p1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130938
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '72.q1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '36.h1', '36.o1', '36.bf1'], 'contains': ['144.a1', '216.l1', '216.m1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8255, -1, 5706, -1], 'generators': [774, 2, 72], 'label': '1296.3545.72.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '72.q1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.q1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130939
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '72.r1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1', '24.l1', '24.m1', '36.f1', '36.p1', '36.be1'], 'contains': ['144.b1', '216.n1'], 'core': '144.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [5333, -1, 4233, -1], 'generators': [21, 2, 576], 'label': '1296.3545.72.r1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '72.r1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.r1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130940
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.e1', '12.k1', '12.l1', '18.g1', '18.l1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8800, -1, 7914, -1], 'generators': [759, 72, 108, 18, 2, 432], 'label': '1296.3545.6.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.h1', 'projective_image': '144.183', '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: 71130941
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '72.s1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '24.n1', '36.i1', '36.q1', '36.bf1'], 'contains': ['144.a1', '216.n1', '216.o1'], 'core': '144.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6209, -1, 4902, -1], 'generators': [21, 2, 72], 'label': '1296.3545.72.s1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '72.s1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.s1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130942
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '72.t1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.x1', '24.l1', '24.n1', '36.g1'], 'contains': ['144.d1', '216.n1', '216.p1'], 'core': '432.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2568, -1, 2514, -1], 'generators': [21, 2, 12], 'label': '1296.3545.72.t1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '72.t1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.t1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130943
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '72.u1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.y1', '24.m1', '24.n1'], 'contains': ['144.f1', '216.n1', '216.q1'], 'core': '432.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [739, -1, 2184, -1], 'generators': [21, 2, 84], 'label': '1296.3545.72.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.m1', 'old_label': '72.u1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.u1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130944
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '72.v1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '36.10', 'aut_weyl_index': 192, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '24.n1', '36.j1'], 'contains': ['144.h1', '216.o1', '216.p1', '216.q1'], 'core': '432.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1886, -1, 2798, -1], 'generators': [21, 12, 72], 'label': '1296.3545.72.v1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '72.v1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.v1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71130945
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '81.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '27.b1', '27.c1'], 'contains': ['162.a1', '162.b1', '162.c1', '162.d1', '162.e1', '162.f1', '162.g1'], 'core': '324.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6282, -1, 8825, -1], 'generators': [3, 18, 648], 'label': '1296.3545.81.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '81.a1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130946
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '108.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '6.b1', 'complements': ['12.g1'], 'conjugacy_class_count': 4, 'contained_in': ['36.a1', '36.b1', '36.c1', '36.w1', '36.x1', '36.y1', '36.z1', '54.e1', '54.n1', '54.q1'], 'contains': ['216.e1', '324.a1'], 'core': '108.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5012, 2364, 5560, 2684], 'generators': [756, 648, 2], 'label': '1296.3545.108.a1', 'mobius_quo': 1, 'mobius_sub': -18, 'normal_closure': '108.a1', 'normal_contained_in': ['36.a1', '36.b1', '36.c1'], 'normal_contains': ['324.a1', '432.a1'], 'normalizer': '1.a1', 'old_label': '108.a1', 'projective_image': '432.745', 'quotient_action_image': '6.1', 'quotient_action_kernel': '18.3', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130947
    {'ambient': '1296.3545', 'aut_centralizer_order': 576, 'aut_label': '108.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '12.b1', 'complements': ['12.d1'], 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '36.d1', '36.ba1', '54.a1', '54.o1', '54.r1'], 'contains': ['216.f1', '324.a1'], 'core': '108.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5202, 3788, 7412, 4471], 'generators': [756, 648, 72], 'label': '1296.3545.108.b1', 'mobius_quo': 1, 'mobius_sub': -18, 'normal_closure': '108.b1', 'normal_contained_in': ['36.a1', '36.d1', '54.a1'], 'normal_contains': ['324.a1', '432.b1'], 'normalizer': '1.a1', 'old_label': '108.b1', 'projective_image': '1296.3545', 'quotient_action_image': '12.4', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '108.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130948
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '108.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '24.a1', 'complements': ['12.f1', '12.q1'], 'conjugacy_class_count': 1, 'contained_in': ['36.b1', '36.d1', '36.bb1', '54.b1', '54.f1', '54.s1'], 'contains': ['324.a1', '432.d1'], 'core': '108.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4371, 4991, 3750, 3430], 'generators': [12, 108, 648], 'label': '1296.3545.108.c1', 'mobius_quo': 0, 'mobius_sub': -18, 'normal_closure': '108.c1', 'normal_contained_in': ['36.b1', '36.d1', '54.b1'], 'normal_contains': ['324.a1'], 'normalizer': '1.a1', 'old_label': '108.c1', 'projective_image': '1296.3545', 'quotient_action_image': '2.1', 'quotient_action_kernel': '54.12', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '108.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130949
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.e1', '36.h1', '54.c1', '54.d1', '54.e1'], 'contains': ['216.b1', '216.e1', '216.l1', '324.b1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [8159, -1, 6364, -1], 'generators': [18, 756, 2], 'label': '1296.3545.108.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '108.d1', 'projective_image': '432.745', '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: 71130950
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.f1', '36.g1', '36.i1', '54.c1'], 'contains': ['216.b1', '216.h1', '216.n1', '324.c1'], 'core': '432.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [3834, -1, 4466, -1], 'generators': [3, 18, 2], 'label': '1296.3545.108.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '108.e1', 'projective_image': '432.745', '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': '1.1'}
  • id: 71130951
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '864.4673', 'aut_weyl_index': 8, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['12.m1', '18.a1', '18.i1', '18.m1', '24.d1'], 'core': '18.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1687, -1, 2151, -1], 'generators': [18, 72, 648, 14, 432, 108], 'label': '1296.3545.6.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '6.i1', 'projective_image': '432.745', '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': '72.44'}
  • id: 71130952
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1', '36.g1', '36.j1'], 'contains': ['216.c1', '216.k1', '216.p1', '324.c1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3126, -1, 2927, -1], 'generators': [3, 18, 12], 'label': '1296.3545.108.f1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '108.f1', 'projective_image': '1296.3545', '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': '6.1'}
  • id: 71130953
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '108.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1', '54.a1', '54.h1', '54.i1'], 'contains': ['216.a1', '216.f1', '216.m1', '324.b1'], 'core': '216.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7341, -1, 7600, -1], 'generators': [18, 756, 72], 'label': '1296.3545.108.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.g1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130954
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '108.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.i1', '36.j1', '54.h1'], 'contains': ['216.a1', '216.i1', '216.o1', '324.c1'], 'core': '216.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3936, -1, 5013, -1], 'generators': [3, 18, 72], 'label': '1296.3545.108.h1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '108.h1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.h1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130955
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '108.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.k1', '36.l1', '36.m1', '54.c1', '54.j1', '54.n1'], 'contains': ['216.e1', '216.h1', '324.d1'], 'core': '432.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8293, -1, 6742, -1], 'generators': [3, 108, 2], 'label': '1296.3545.108.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.i1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130956
    {'ambient': '1296.3545', 'aut_centralizer_order': 576, 'aut_label': '108.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.k1', '54.h1', '54.k1', '54.o1'], 'contains': ['216.f1', '216.i1', '324.d1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6722, -1, 8053, -1], 'generators': [3, 108, 72], 'label': '1296.3545.108.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.j1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130957
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '108.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.k1', '36.l1', '54.p1'], 'contains': ['216.g1', '216.j1', '324.d1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7443, -1, 6888, -1], 'generators': [3, 108, 74], 'label': '1296.3545.108.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '108.k1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130958
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '108.l1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.n1', '36.o1', '54.e1', '54.j1', '54.l1'], 'contains': ['216.e1', '216.l1', '324.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9615, -1, 7033, -1], 'generators': [666, 756, 2], 'label': '1296.3545.108.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '108.l1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130959
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '108.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.o1', '54.a1', '54.k1', '54.m1'], 'contains': ['216.f1', '216.m1', '324.e1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7810, -1, 8164, -1], 'generators': [666, 756, 72], 'label': '1296.3545.108.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.m1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.m1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130960
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '108.n1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.p1', '36.q1', '54.c1', '54.l1', '54.q1'], 'contains': ['216.e1', '216.n1', '324.f1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [7200, -1, 6597, -1], 'generators': [21, 108, 2], 'label': '1296.3545.108.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '108.n1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130961
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '108.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.q1', '54.h1', '54.m1', '54.r1'], 'contains': ['216.f1', '216.o1', '324.f1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6824, -1, 7941, -1], 'generators': [21, 108, 72], 'label': '1296.3545.108.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.o1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.o1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130962
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157579', 'aut_weyl_index': 6, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.h1', '12.i1', '12.l1', '18.n1', '18.o1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8439, -1, 6934, -1], 'generators': [3, 72, 108, 774, 2, 432], 'label': '1296.3545.6.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.j1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71130963
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '108.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.r1', '36.t1', '36.u1', '54.d1', '54.l1', '54.n1'], 'contains': ['216.e1', '324.g1'], 'core': '432.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9773, -1, 7856, -1], 'generators': [759, 2, 108], 'label': '1296.3545.108.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.p1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130964
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '108.q1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.s1', '36.v1', '54.d1', '54.j1', '54.q1'], 'contains': ['216.e1', '324.h1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9194, -1, 7762, -1], 'generators': [777, 2, 108], 'label': '1296.3545.108.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '108.q1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130965
    {'ambient': '1296.3545', 'aut_centralizer_order': 576, 'aut_label': '108.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.r1', '54.i1', '54.m1', '54.o1'], 'contains': ['216.f1', '324.g1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8011, -1, 9504, -1], 'generators': [759, 72, 108], 'label': '1296.3545.108.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.r1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130966
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '108.s1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.s1', '54.i1', '54.k1', '54.r1'], 'contains': ['216.f1', '324.h1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7556, -1, 9230, -1], 'generators': [777, 108, 72], 'label': '1296.3545.108.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.s1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.s1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71130967
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '108.t1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.r1', '36.t1', '54.p1'], 'contains': ['216.g1', '324.g1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9457, -1, 8311, -1], 'generators': [759, 74, 108], 'label': '1296.3545.108.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '108.t1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130968
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '108.u1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.a1', '36.w1', '36.bb1', '36.bc1', '36.bd1', '54.p1'], 'contains': ['216.g1', '324.a1'], 'core': '324.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [4828, -1, 5928, -1], 'generators': [756, 648, 74], 'label': '1296.3545.108.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '108.u1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.u1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130969
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '108.v1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.b1', '36.x1', '36.ba1', '36.bc1', '36.bd1', '54.g1'], 'contains': ['324.a1', '432.e1'], 'core': '324.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1574, -1, 3438, -1], 'generators': [14, 108, 648], 'label': '1296.3545.108.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '108.v1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.v1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130970
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '108.w1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1', '36.y1', '36.bc1', '54.t1'], 'contains': ['324.a1', '432.f1'], 'core': '324.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2005, -1, 3591, -1], 'generators': [84, 108, 648], 'label': '1296.3545.108.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '108.w1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.w1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130971
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '108.x1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.y1', '36.z1', '36.ba1', '36.bb1', '36.bc1', '36.bd1'], 'contains': ['324.a1', '432.g1'], 'core': '324.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1310, -1, 3514, -1], 'generators': [86, 108, 648], 'label': '1296.3545.108.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '108.x1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.x1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71130972
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '108.y1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.be1', '36.bf1', '54.c1'], 'contains': ['216.h1', '216.l1', '216.n1', '324.i1'], 'core': '432.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [7668, -1, 5415, -1], 'generators': [3, 126, 2], 'label': '1296.3545.108.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '108.y1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.y1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130973
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6912.ia', 'aut_weyl_index': 1, 'centralizer': '144.b1', 'complements': ['648.c1', '648.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '6.a1', '6.b1', '6.f1', '6.i1', '8.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2981, 2308, 2683, 4399], 'generators': [18, 648, 108, 2, 72, 432, 12], 'label': '1296.3545.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '6.a1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '144.183', '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': '144.183'}
  • id: 71130974
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157579', 'aut_weyl_index': 6, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.i1', '12.j1', '12.k1', '18.p1', '18.q1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9074, -1, 7330, -1], 'generators': [759, 72, 108, 774, 2, 432], 'label': '1296.3545.6.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.k1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71130975
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '108.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.bf1', '54.h1'], 'contains': ['216.i1', '216.m1', '216.o1', '324.i1'], 'core': '432.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7060, -1, 5817, -1], 'generators': [3, 126, 72], 'label': '1296.3545.108.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '108.z1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.z1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130976
    {'ambient': '1296.3545', 'aut_centralizer_order': 432, 'aut_label': '144.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '2.b1', 'complements': ['9.c1'], 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.b1', '48.c1', '72.a1', '72.g1', '72.j1', '72.q1', '72.s1'], 'contains': ['432.a1', '432.b1', '432.c1'], 'core': '144.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6031, 8811, 4383, 9207], 'generators': [2, 72], 'label': '1296.3545.144.a1', 'mobius_quo': 1, 'mobius_sub': -24, 'normal_closure': '144.a1', 'normal_contained_in': ['36.a1', '48.a1', '72.a1'], 'normal_contains': ['432.a1', '432.b1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '432.745', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.42', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130977
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '144.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '1.a1', 'complements': ['9.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.f1', '48.g1', '72.d1', '72.i1', '72.l1', '72.p1', '72.r1'], 'contains': ['432.a1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5763, 8053, 4296, 8619], 'generators': [2, 576], 'label': '1296.3545.144.b1', 'mobius_quo': 3, 'mobius_sub': -72, 'normal_closure': '144.b1', 'normal_contained_in': ['36.c1', '48.a1'], 'normal_contains': ['432.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '144.183', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.183', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130978
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.d1', '48.e1', '72.h1', '72.k1'], 'contains': ['432.a1', '432.c1'], 'core': '432.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5457, -1, 4131, -1], 'generators': [2, 432], 'label': '1296.3545.144.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '144.c1', 'projective_image': '432.745', '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: 71130979
    {'ambient': '1296.3545', 'aut_centralizer_order': 108, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.b1', '48.b1', '48.d1', '48.f1', '72.b1', '72.m1', '72.t1'], 'contains': ['432.a1', '432.d1', '432.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2774, -1, 2393, -1], 'generators': [2, 12], 'label': '1296.3545.144.d1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '144.d1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130980
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '144.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.x1', '48.c1', '48.e1', '48.f1', '72.c1'], 'contains': ['432.a1', '432.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1491, -1, 1822, -1], 'generators': [14, 576], 'label': '1296.3545.144.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '144.e1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130981
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '144.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.y1', '48.b1', '48.e1', '48.g1', '72.u1'], 'contains': ['432.a1', '432.f1', '432.g1'], 'core': '432.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [933, -1, 2184, -1], 'generators': [2, 84], 'label': '1296.3545.144.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '144.f1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130982
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '144.g1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.z1', '48.c1', '48.d1', '48.e1', '48.g1'], 'contains': ['432.a1', '432.g1'], 'core': '432.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [69, -1, 2003, -1], 'generators': [86, 576], 'label': '1296.3545.144.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '144.g1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130983
    {'ambient': '1296.3545', 'aut_centralizer_order': 432, 'aut_label': '144.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1', '48.b1', '72.e1', '72.n1', '72.v1'], 'contains': ['432.b1', '432.d1', '432.f1'], 'core': '432.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2061, -1, 2804, -1], 'generators': [12, 72], 'label': '1296.3545.144.h1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '36.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '144.h1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130984
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '144.i1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.ba1', '48.b1', '48.c1', '72.f1'], 'contains': ['432.b1', '432.e1', '432.g1'], 'core': '432.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [332, -1, 1735, -1], 'generators': [14, 72], 'label': '1296.3545.144.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '144.i1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130985
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '6.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '384.20055', 'aut_weyl_index': 18, 'centralizer': '24.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.c1'], 'contains': ['12.b1', '12.h1', '12.k1', '18.r1', '18.s1', '18.t1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7709, -1, 6346, -1], 'generators': [3, 108, 72, 648, 2, 432], 'label': '1296.3545.6.l1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.l1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71130986
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '144.j1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.bb1', '48.b1', '48.d1', '72.o1'], 'contains': ['432.c1', '432.d1', '432.g1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3372, -1, 2716, -1], 'generators': [74, 12], 'label': '1296.3545.144.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '144.j1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130987
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '144.k1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.bc1', '48.b1', '48.e1'], 'contains': ['432.c1', '432.e1', '432.f1', '432.g1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1216, -1, 2096, -1], 'generators': [146, 84], 'label': '1296.3545.144.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '144.k1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130988
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '144.l1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['36.bd1', '48.c1', '48.d1', '48.e1'], 'contains': ['432.c1', '432.e1', '432.g1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [852, -1, 1915, -1], 'generators': [14, 432], 'label': '1296.3545.144.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '144.l1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130989
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '162.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.c1', '54.h1', '81.a1'], 'contains': ['324.b1', '324.c1', '324.d1', '324.f1', '324.i1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6819, -1, 7295, -1], 'generators': [3, 18, 108], 'label': '1296.3545.162.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.a1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130990
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '162.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.d1', '54.i1', '81.a1'], 'contains': ['324.b1', '324.g1', '324.h1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7635, -1, 8773, -1], 'generators': [759, 18], 'label': '1296.3545.162.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.b1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71130991
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '162.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '54.e1', '54.f1', '54.g1', '81.a1'], 'contains': ['324.a1', '324.b1', '324.e1'], 'core': '324.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4535, -1, 6481, -1], 'generators': [18, 756, 648], 'label': '1296.3545.162.c1', 'mobius_quo': None, 'mobius_sub': -9, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '162.c1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130992
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '162.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.j1', '54.k1', '81.a1'], 'contains': ['324.d1', '324.e1', '324.h1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7120, -1, 8463, -1], 'generators': [3, 774], 'label': '1296.3545.162.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.d1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130993
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '162.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.l1', '54.m1', '81.a1'], 'contains': ['324.e1', '324.f1', '324.g1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7963, -1, 8609, -1], 'generators': [759, 774], 'label': '1296.3545.162.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.e1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130994
    {'ambient': '1296.3545', 'aut_centralizer_order': 576, 'aut_label': '162.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '54.n1', '54.o1', '54.p1', '81.a1'], 'contains': ['324.a1', '324.d1', '324.g1'], 'core': '324.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6218, -1, 7677, -1], 'generators': [3, 648], 'label': '1296.3545.162.f1', 'mobius_quo': None, 'mobius_sub': -9, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '162.f1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130995
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '162.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1728, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.q1', '54.r1', '54.s1', '54.t1', '81.a1'], 'contains': ['324.a1', '324.f1', '324.h1'], 'core': '324.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5306, -1, 7523, -1], 'generators': [21, 648], 'label': '1296.3545.162.g1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71130996
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '6.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['12.n1', '18.c1', '18.s1', '18.u1', '24.h1'], 'core': '18.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5412, -1, 3897, -1], 'generators': [3, 648, 108, 2, 432, 12], 'label': '1296.3545.6.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '6.m1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.m1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71130997
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '216.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '6.d1', 'complements': ['6.m1', '6.d1', '6.o1', '6.p1'], 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '72.e1', '72.f1', '108.g1', '108.h1'], 'contains': ['432.b1', '648.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3655, 9358, 4213, 9760], 'generators': [18, 72], 'label': '1296.3545.216.a1', 'mobius_quo': 0, 'mobius_sub': -36, 'normal_closure': '216.a1', 'normal_contained_in': ['54.a1', '72.a1'], 'normal_contains': ['432.b1'], 'normalizer': '1.a1', 'old_label': '216.a1', 'projective_image': '1296.3545', 'quotient_action_image': '3.1', 'quotient_action_kernel': '72.42', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71130998
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '216.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '3.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.a1', '72.b1', '72.c1', '72.d1', '108.d1', '108.e1'], 'contains': ['432.a1', '648.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3584, -1, 4049, -1], 'generators': [18, 2], 'label': '1296.3545.216.b1', 'mobius_quo': None, 'mobius_sub': -12, 'normal_closure': '72.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '216.b1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71130999
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '216.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.f1', '72.b1', '72.e1', '108.f1'], 'contains': ['432.d1', '648.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3146, -1, 2927, -1], 'generators': [18, 12], 'label': '1296.3545.216.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '216.c1', 'projective_image': '1296.3545', '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': '2.1'}
  • id: 71131000
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['54.g1', '72.b1', '72.c1', '72.f1'], 'contains': ['432.e1', '648.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1684, -1, 1473, -1], 'generators': [18, 14], 'label': '1296.3545.216.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.b1', 'old_label': '216.d1', 'projective_image': '1296.3545', '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: 71131001
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '216.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '3.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.g1', '72.h1', '72.i1', '108.a1', '108.d1', '108.i1', '108.l1', '108.n1', '108.p1', '108.q1'], 'contains': ['432.a1', '648.b1'], 'core': '432.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8932, -1, 6670, -1], 'generators': [756, 2], 'label': '1296.3545.216.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '216.e1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131002
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '216.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '6.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.g1', '108.b1', '108.g1', '108.j1', '108.m1', '108.o1', '108.r1', '108.s1'], 'contains': ['432.b1', '648.b1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7270, -1, 7760, -1], 'generators': [756, 72], 'label': '1296.3545.216.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '108.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '216.f1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131003
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '216.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '6.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.g1', '72.h1', '108.k1', '108.t1', '108.u1'], 'contains': ['432.c1', '648.b1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8109, -1, 6888, -1], 'generators': [756, 74], 'label': '1296.3545.216.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '216.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131004
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '216.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.j1', '72.k1', '72.l1', '72.m1', '108.e1', '108.i1', '108.y1'], 'contains': ['432.a1', '648.c1'], 'core': '432.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5805, -1, 4680, -1], 'generators': [3, 2], 'label': '1296.3545.216.h1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '216.h1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131005
    {'ambient': '1296.3545', 'aut_centralizer_order': 576, 'aut_label': '216.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.j1', '72.n1', '108.h1', '108.j1', '108.z1'], 'contains': ['432.b1', '648.c1'], 'core': '432.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5989, -1, 5013, -1], 'generators': [3, 72], 'label': '1296.3545.216.i1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '216.i1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131006
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '216.j1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.j1', '72.k1', '72.o1', '108.k1'], 'contains': ['432.c1', '648.c1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5536, -1, 4757, -1], 'generators': [3, 74], 'label': '1296.3545.216.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1', 'old_label': '216.j1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131007
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '6.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157579', 'aut_weyl_index': 6, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.c1'], 'contains': ['12.b1', '12.j1', '12.l1', '18.v1', '18.w1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6250, -1, 6161, -1], 'generators': [21, 72, 108, 648, 2, 432], 'label': '1296.3545.6.n1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.n1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.n1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131008
    {'ambient': '1296.3545', 'aut_centralizer_order': 288, 'aut_label': '216.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '72.m1', '72.n1', '72.o1', '108.f1'], 'contains': ['432.d1', '648.c1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3068, -1, 3198, -1], 'generators': [3, 12], 'label': '1296.3545.216.k1', 'mobius_quo': None, 'mobius_sub': -9, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '216.k1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.k1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131009
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '216.l1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.p1', '72.q1', '108.d1', '108.l1', '108.y1'], 'contains': ['432.a1', '648.d1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [8205, -1, 5635, -1], 'generators': [774, 2], 'label': '1296.3545.216.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '216.l1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131010
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '216.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.q1', '108.g1', '108.m1', '108.z1'], 'contains': ['432.b1', '648.d1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7740, -1, 5887, -1], 'generators': [774, 72], 'label': '1296.3545.216.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '216.m1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.m1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131011
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '216.n1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.r1', '72.s1', '72.t1', '72.u1', '108.e1', '108.n1', '108.y1'], 'contains': ['432.a1', '648.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [5308, -1, 4466, -1], 'generators': [21, 2], 'label': '1296.3545.216.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '216.n1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131012
    {'ambient': '1296.3545', 'aut_centralizer_order': 192, 'aut_label': '216.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.s1', '72.v1', '108.h1', '108.o1', '108.z1'], 'contains': ['432.b1', '648.e1'], 'core': '432.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [6122, -1, 4902, -1], 'generators': [21, 72], 'label': '1296.3545.216.o1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '216.o1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.o1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131013
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '216.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.s1', '72.t1', '72.v1', '108.f1'], 'contains': ['432.d1', '648.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2664, -1, 3121, -1], 'generators': [21, 12], 'label': '1296.3545.216.p1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '216.p1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.p1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131014
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '216.q1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.t1', '72.u1', '72.v1'], 'contains': ['432.f1', '648.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1897, -1, 3044, -1], 'generators': [21, 84], 'label': '1296.3545.216.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.m1', 'old_label': '216.q1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.q1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131015
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '324.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1152, 'centralizer': '6.b1', 'complements': ['4.b1'], 'conjugacy_class_count': 1, 'contained_in': ['108.a1', '108.b1', '108.c1', '108.u1', '108.v1', '108.w1', '108.x1', '162.c1', '162.f1', '162.g1'], 'contains': ['648.b1'], 'core': '324.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4722, 3788, 5805, 3430], 'generators': [756, 648], 'label': '1296.3545.324.a1', 'mobius_quo': -1, 'mobius_sub': 54, 'normal_closure': '324.a1', 'normal_contained_in': ['108.a1', '108.b1', '108.c1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '324.a1', 'projective_image': '1296.3545', 'quotient_action_image': '6.1', 'quotient_action_kernel': '54.12', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '324.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131016
    {'ambient': '1296.3545', 'aut_centralizer_order': 768, 'aut_label': '324.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.d1', '108.g1', '162.a1', '162.b1', '162.c1'], 'contains': ['648.a1', '648.b1', '648.d1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7475, -1, 7045, -1], 'generators': [18, 756], 'label': '1296.3545.324.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '324.b1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131017
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '324.c1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.e1', '108.f1', '108.h1', '162.a1'], 'contains': ['648.a1', '648.c1', '648.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [3703, -1, 4548, -1], 'generators': [3, 18], 'label': '1296.3545.324.c1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '324.c1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131018
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '6.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.b1'], 'contains': ['12.c1', '18.v1', '18.x1', '24.l1'], 'core': '12.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4908, -1, 3241, -1], 'generators': [21, 648, 108, 2, 576, 12], 'label': '1296.3545.6.o1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '6.o1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.o1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131019
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '324.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.i1', '108.j1', '108.k1', '162.a1', '162.d1', '162.f1'], 'contains': ['648.b1', '648.c1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6920, -1, 7295, -1], 'generators': [3, 108], 'label': '1296.3545.324.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '324.d1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131020
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '324.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.l1', '108.m1', '162.c1', '162.d1', '162.e1'], 'contains': ['648.b1', '648.d1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7774, -1, 7383, -1], 'generators': [666, 756], 'label': '1296.3545.324.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '324.e1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131021
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '324.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.n1', '108.o1', '162.a1', '162.e1', '162.g1'], 'contains': ['648.b1', '648.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6728, -1, 7207, -1], 'generators': [21, 108], 'label': '1296.3545.324.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '324.f1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131022
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '324.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.p1', '108.r1', '108.t1', '162.b1', '162.e1', '162.f1'], 'contains': ['648.b1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7850, -1, 8311, -1], 'generators': [759], 'label': '1296.3545.324.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '324.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131023
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '324.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.q1', '108.s1', '162.b1', '162.d1', '162.g1'], 'contains': ['648.b1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7361, -1, 7998, -1], 'generators': [777], 'label': '1296.3545.324.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '324.h1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131024
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '324.i1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.y1', '108.z1', '162.a1'], 'contains': ['648.c1', '648.d1', '648.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7050, -1, 5717, -1], 'generators': [3, 126], 'label': '1296.3545.324.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '324.i1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131025
    {'ambient': '1296.3545', 'aut_centralizer_order': 864, 'aut_label': '432.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 4, 'contained_in': ['144.a1', '144.b1', '144.c1', '144.d1', '144.e1', '144.f1', '144.g1', '216.b1', '216.e1', '216.h1', '216.l1', '216.n1'], 'contains': ['1296.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5435, 8312, 4288, 8848], 'generators': [2], 'label': '1296.3545.432.a1', 'mobius_quo': -1, 'mobius_sub': 72, 'normal_closure': '432.a1', 'normal_contained_in': ['108.a1', '144.a1', '144.b1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '432.a1', 'projective_image': '432.745', 'quotient_action_image': '1.1', 'quotient_action_kernel': '432.745', 'quotient_action_kernel_order': 432, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131026
    {'ambient': '1296.3545', 'aut_centralizer_order': 3456, 'aut_label': '432.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1', 'complements': ['3.b1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.h1', '144.i1', '216.a1', '216.f1', '216.i1', '216.m1', '216.o1'], 'contains': ['1296.a1'], 'core': '432.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6015, 8979, 4383, 9365], 'generators': [72], 'label': '1296.3545.432.b1', 'mobius_quo': -1, 'mobius_sub': 72, 'normal_closure': '432.b1', 'normal_contained_in': ['108.b1', '144.a1', '216.a1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '432.b1', 'projective_image': '1296.3545', 'quotient_action_image': '2.1', 'quotient_action_kernel': '216.163', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '432.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131027
    {'ambient': '1296.3545', 'aut_centralizer_order': 432, 'aut_label': '432.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.a1', '144.c1', '144.j1', '144.k1', '144.l1', '216.g1', '216.j1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5363, -1, 4133, -1], 'generators': [74], 'label': '1296.3545.432.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '432.c1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131028
    {'ambient': '1296.3545', 'aut_centralizer_order': 864, 'aut_label': '432.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.c1', '144.d1', '144.h1', '144.j1', '216.c1', '216.k1', '216.p1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2914, -1, 3061, -1], 'generators': [12], 'label': '1296.3545.432.d1', 'mobius_quo': None, 'mobius_sub': 18, 'normal_closure': '108.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '432.d1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131029
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '6.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1'], 'contains': ['12.p1', '18.v1', '18.y1', '24.m1'], 'core': '36.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [1868, -1, 2850, -1], 'generators': [21, 648, 108, 2, 576, 84], 'label': '1296.3545.6.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.p1', 'old_label': '6.p1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.p1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131030
    {'ambient': '1296.3545', 'aut_centralizer_order': 108, 'aut_label': '432.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['108.v1', '144.d1', '144.e1', '144.i1', '144.k1', '144.l1', '216.d1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1517, -1, 2055, -1], 'generators': [14], 'label': '1296.3545.432.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '432.e1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131031
    {'ambient': '1296.3545', 'aut_centralizer_order': 432, 'aut_label': '432.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.w1', '144.f1', '144.h1', '144.k1', '216.q1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1655, -1, 2865, -1], 'generators': [84], 'label': '1296.3545.432.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '432.f1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131032
    {'ambient': '1296.3545', 'aut_centralizer_order': 54, 'aut_label': '432.g1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3456, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['108.x1', '144.f1', '144.g1', '144.i1', '144.j1', '144.k1', '144.l1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1071, -1, 2138, -1], 'generators': [86], 'label': '1296.3545.432.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '432.g1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131033
    {'ambient': '1296.3545', 'aut_centralizer_order': 2304, 'aut_label': '648.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '3.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1', '216.b1', '216.c1', '216.d1', '324.b1', '324.c1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3484, -1, 4211, -1], 'generators': [18], 'label': '1296.3545.648.a1', 'mobius_quo': None, 'mobius_sub': 36, 'normal_closure': '216.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '648.a1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131034
    {'ambient': '1296.3545', 'aut_centralizer_order': 2304, 'aut_label': '648.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '3.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.e1', '216.f1', '216.g1', '324.a1', '324.b1', '324.d1', '324.e1', '324.f1', '324.g1', '324.h1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7361, -1, 7207, -1], 'generators': [756], 'label': '1296.3545.648.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '324.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '648.b1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131035
    {'ambient': '1296.3545', 'aut_centralizer_order': 1152, 'aut_label': '648.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.h1', '216.i1', '216.j1', '216.k1', '324.c1', '324.d1', '324.i1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5866, -1, 4718, -1], 'generators': [3], 'label': '1296.3545.648.c1', 'mobius_quo': None, 'mobius_sub': 18, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '648.c1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131036
    {'ambient': '1296.3545', 'aut_centralizer_order': 768, 'aut_label': '648.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.l1', '216.m1', '324.b1', '324.e1', '324.i1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7615, -1, 5802, -1], 'generators': [774], 'label': '1296.3545.648.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '648.d1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131037
    {'ambient': '1296.3545', 'aut_centralizer_order': 384, 'aut_label': '648.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6912, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.n1', '216.o1', '216.p1', '216.q1', '324.c1', '324.f1', '324.i1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5308, -1, 4506, -1], 'generators': [21], 'label': '1296.3545.648.e1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '648.e1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131038
    {'ambient': '1296.3545', 'aut_centralizer_order': None, 'aut_label': '1296.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': ['432.a1', '432.b1', '432.c1', '432.d1', '432.e1', '432.f1', '432.g1', '648.a1', '648.b1', '648.c1', '648.d1', '648.e1'], 'contains': [], 'core': '1296.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5336, 8645, 4250, 9107], 'generators': [], 'label': '1296.3545.1296.a1', 'mobius_quo': 1, 'mobius_sub': -216, 'normal_closure': '1296.a1', 'normal_contained_in': ['324.a1', '432.a1', '432.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1296.a1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1296.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71131039
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '48.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.b1'], 'contains': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1432, -1, 578, -1], 'generators': [18, 72, 2, 432, 12], 'label': '1296.3545.8.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '8.a1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131040
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '4.b1'], 'contains': ['16.a1', '24.f1', '24.g1', '24.h1', '24.i1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2864, -1, 1772, -1], 'generators': [3, 12, 2, 432, 72], 'label': '1296.3545.8.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '8.b1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131041
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.46336', 'aut_weyl_index': 4, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '4.b1'], 'contains': ['16.a1', '24.k1', '24.l1', '24.m1', '24.n1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1261, -1, 1035, -1], 'generators': [21, 72, 2, 432, 12], 'label': '1296.3545.8.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '8.c1', 'projective_image': '144.183', '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': '36.10'}
  • id: 71131042
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '9.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '144.b1', 'complements': ['144.c1', '144.l1', '144.g1', '144.b1', '144.e1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.b1', '18.d1', '18.e1', '27.b1', '27.c1', '36.j1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4331, 8183, 4219, 7693], 'generators': [3, 648, 108, 18, 12, 72], 'label': '1296.3545.9.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['18.b1', '18.d1', '18.e1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '1296.3545', 'quotient_action_image': '3.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '144.183'}
  • id: 71131043
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2304.d', 'aut_weyl_index': 3, 'centralizer': '48.a1', 'complements': ['648.a1', '648.d1', '648.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '6.c1', '6.d1', '6.l1', '6.m1', '8.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4850, 6324, 3463, 1277], 'generators': [3, 108, 12, 2, 648, 432, 72], 'label': '1296.3545.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '6.c1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '144.183', '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': '48.48'}
  • id: 71131044
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '9.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1', '3.c1'], 'contains': ['18.f1', '18.g1', '18.j1', '18.n1', '18.p1', '18.t1', '18.v1', '27.a1'], 'core': '36.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [8278, -1, 5947, -1], 'generators': [3, 108, 576, 18, 648, 2], 'label': '1296.3545.9.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '9.b1', 'projective_image': '144.183', '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': '4.2'}
  • id: 71131045
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '9.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.c1', '18.h1', '18.x1', '27.a1', '27.b1', '36.g1'], 'core': '18.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [5102, -1, 3741, -1], 'generators': [3, 648, 108, 18, 2, 12], 'label': '1296.3545.9.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.c1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131046
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '9.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1', '3.c1'], 'contains': ['18.a1', '18.k1', '18.l1', '18.o1', '18.q1', '18.r1', '18.w1', '27.a1', '27.c1'], 'core': '18.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6474, -1, 8223, -1], 'generators': [3, 72, 108, 18, 648, 2], 'label': '1296.3545.9.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '9.d1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.d1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131047
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '12.a1', 'aut_quo_index': 6, 'aut_stab_index': 4, 'aut_weyl_group': '96.226', 'aut_weyl_index': 72, 'centralizer': '48.a1', 'complements': ['108.e1', '108.y1'], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.a1', '6.c1', '6.e1'], 'contains': ['36.a1', '36.b1', '36.d1', '36.y1', '36.ba1', '36.bb1', '36.bc1', '48.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2983, 4298, 3328, 3717], 'generators': [2, 648, 12, 72, 108], 'label': '1296.3545.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.c1', '6.e1'], 'normal_contains': ['36.a1', '36.b1', '36.d1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '432.745', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 71131048
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '12.b1', 'complements': ['108.f1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.b1', '6.l1', '6.n1'], 'contains': ['24.e1', '36.a1', '36.c1', '36.w1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6005, 642, 5615, 2591], 'generators': [756, 72, 648, 2, 432], 'label': '1296.3545.12.b1', 'mobius_quo': 3, 'mobius_sub': -6, 'normal_closure': '12.b1', 'normal_contained_in': ['4.a1', '6.b1'], 'normal_contains': ['36.a1', '36.c1', '48.a1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '144.183', 'quotient_action_image': '12.4', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131049
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '24.a1', 'complements': ['108.h1', '108.z1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.d1', '6.f1', '6.o1'], 'contains': ['36.b1', '36.c1', '36.x1', '48.f1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4621, 2484, 2394, 495], 'generators': [2, 648, 576, 12, 108], 'label': '1296.3545.12.c1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1', 'normal_contained_in': ['4.a1', '6.d1'], 'normal_contains': ['36.b1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '144.183', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131050
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1', '4.b1'], 'contains': ['24.b1', '24.i1', '24.l1', '36.f1', '36.g1'], 'core': '144.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [3239, -1, 1247, -1], 'generators': [3, 12, 18, 2, 576], 'label': '1296.3545.12.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '12.d1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131051
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.g1', '6.h1'], 'contains': ['24.a1', '24.e1', '24.j1', '36.e1', '36.h1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7823, -1, 5250, -1], 'generators': [18, 72, 756, 2, 432], 'label': '1296.3545.12.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.e1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131052
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.g1'], 'contains': ['24.a1', '24.f1', '24.k1', '36.f1', '36.i1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4252, -1, 4632, -1], 'generators': [3, 72, 18, 2, 432], 'label': '1296.3545.12.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '12.f1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131053
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1', '4.b1'], 'contains': ['24.c1', '24.g1', '24.n1', '36.g1', '36.i1', '36.j1'], 'core': '72.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2196, -1, 1524, -1], 'generators': [3, 72, 18, 2, 12], 'label': '1296.3545.12.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '12.g1', 'projective_image': '432.745', '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': '36.10'}
  • id: 71131054
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6912.ia', 'aut_weyl_index': 1, 'centralizer': '144.b1', 'complements': ['648.a1', '648.d1', '648.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '6.e1', '6.n1', '6.o1', '6.p1', '8.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3421, 4483, 3026, 2705], 'generators': [21, 108, 72, 2, 648, 432, 12], 'label': '1296.3545.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '6.e1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '144.183', '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': '144.183'}
  • id: 71131055
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1', '6.j1', '6.l1'], 'contains': ['24.e1', '24.f1', '36.k1', '36.l1', '36.m1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8042, -1, 6346, -1], 'generators': [3, 72, 108, 2, 432], 'label': '1296.3545.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.h1', 'projective_image': '144.183', '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': '4.2'}
  • id: 71131056
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '36.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.j1', '6.k1'], 'contains': ['24.e1', '24.j1', '36.n1', '36.o1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8821, -1, 6543, -1], 'generators': [666, 72, 756, 2, 432], 'label': '1296.3545.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.i1', 'projective_image': '144.183', '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': '12.4'}
  • id: 71131057
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1', '6.k1', '6.n1'], 'contains': ['24.e1', '24.k1', '36.p1', '36.q1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7371, -1, 6149, -1], 'generators': [21, 72, 108, 2, 432], 'label': '1296.3545.12.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.j1', 'projective_image': '144.183', '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': '12.4'}
  • id: 71131058
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1', '6.k1', '6.l1'], 'contains': ['24.e1', '36.r1', '36.t1', '36.u1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9090, -1, 8580, -1], 'generators': [759, 108, 2, 432, 72], 'label': '1296.3545.12.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.k1', 'projective_image': '144.183', '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': '4.2'}
  • id: 71131059
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8325', 'aut_weyl_index': 12, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1', '6.j1', '6.n1'], 'contains': ['24.e1', '36.s1', '36.v1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8624, -1, 8033, -1], 'generators': [777, 72, 2, 432, 108], 'label': '1296.3545.12.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.l1', 'projective_image': '144.183', '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': '12.4'}
  • id: 71131060
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.i1'], 'contains': ['36.a1', '36.x1', '36.z1', '36.ba1', '36.bd1', '48.c1'], 'core': '36.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1219, -1, 2227, -1], 'generators': [14, 648, 432, 72, 108], 'label': '1296.3545.12.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.m1', 'projective_image': '432.745', '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': '24.13'}
  • id: 71131061
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.m1'], 'contains': ['36.b1', '36.w1', '36.z1', '36.bb1', '36.bd1', '48.d1'], 'core': '36.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [3847, -1, 3162, -1], 'generators': [2, 648, 432, 12, 108], 'label': '1296.3545.12.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '12.n1', 'projective_image': '432.745', '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': '24.12'}
  • id: 71131062
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1'], 'contains': ['36.w1', '36.x1', '36.y1', '36.z1', '36.bc1', '36.bd1', '48.e1'], 'core': '108.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1602, -1, 2683, -1], 'generators': [2, 648, 432, 84, 108], 'label': '1296.3545.12.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '12.o1', 'projective_image': '432.745', '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': '12.3'}
  • id: 71131063
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.p1'], 'contains': ['36.c1', '36.y1', '36.z1', '48.g1'], 'core': '36.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1410, -1, 2850, -1], 'generators': [2, 648, 576, 84, 108], 'label': '1296.3545.12.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '12.p1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131064
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1'], 'contains': ['24.f1', '24.j1', '24.k1', '36.be1', '36.bf1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7616, -1, 4857, -1], 'generators': [3, 72, 126, 2, 432], 'label': '1296.3545.12.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '12.q1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131065
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 24, 'centralizer': '144.b1', 'complements': ['432.c1', '432.g1', '432.a1', '432.e1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.c1', '6.e1', '9.a1', '9.c1', '9.d1', '12.g1'], 'core': '3.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4406, 8127, 3687, 5978], 'generators': [3, 108, 72, 18, 648, 2, 12], 'label': '1296.3545.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.c1', '6.e1', '9.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '432.745', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '144.183'}
  • id: 71131066
    {'ambient': '1296.3545', 'aut_centralizer_order': 9, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '16.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.a1', '8.b1', '8.c1'], 'contains': ['48.a1', '48.b1', '48.c1', '48.d1', '48.e1', '48.f1', '48.g1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [763, -1, 451, -1], 'generators': [2, 432, 12, 72], 'label': '1296.3545.16.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '16.a1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131067
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '36.c1', 'complements': ['72.o1', '72.m1', '72.t1', '72.u1'], 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.b1', '6.i1', '9.d1'], 'contains': ['36.a1', '36.h1', '36.o1', '54.a1', '54.e1'], 'core': '18.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5323, 2447, 6991, 6007], 'generators': [18, 72, 756, 648, 2], 'label': '1296.3545.18.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.b1'], 'normal_contains': ['36.a1', '54.a1', '72.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '432.745', 'quotient_action_image': '18.3', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71131068
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '18.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '144.b1', 'complements': ['72.k1', '72.l1', '72.r1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.d1', '54.a1', '54.f1', '72.e1'], 'core': '18.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3415, 6702, 3629, 7901], 'generators': [18, 72, 12, 108, 648], 'label': '1296.3545.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1', '9.a1'], 'normal_contains': ['36.d1', '54.a1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '1296.3545', 'quotient_action_image': '6.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '144.183'}
  • id: 71131069
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '18.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '24.a1', 'complements': ['72.a1', '72.q1', '72.f1', '72.s1', '72.u1'], 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.d1', '6.m1', '9.c1'], 'contains': ['36.b1', '54.b1', '54.n1', '72.m1'], 'core': '18.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5606, 5102, 3917, 1543], 'generators': [3, 648, 2, 12, 108], 'label': '1296.3545.18.c1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.c1', 'normal_contained_in': ['6.c1', '6.d1'], 'normal_contains': ['36.b1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.c1', 'projective_image': '432.745', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18.3', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131070
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '18.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': ['72.d1', '72.p1', '72.c1', '72.r1'], 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '9.a1'], 'contains': ['36.d1', '54.b1', '54.o1', '72.n1'], 'core': '18.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4472, 8794, 4448, 4765], 'generators': [3, 648, 72, 12, 108], 'label': '1296.3545.18.d1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.d1', 'normal_contained_in': ['6.c1', '9.a1'], 'normal_contains': ['36.d1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.d1', 'projective_image': '1296.3545', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 71131071
    {'ambient': '1296.3545', 'aut_centralizer_order': 48, 'aut_label': '18.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '144.b1', 'complements': ['72.d1', '72.p1', '72.c1', '72.k1', '72.l1'], 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '9.a1'], 'contains': ['36.d1', '54.r1', '54.s1', '54.t1', '72.v1'], 'core': '18.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [3602, 7748, 4182, 7090], 'generators': [21, 648, 12, 72, 108], 'label': '1296.3545.18.e1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.e1', 'normal_contained_in': ['6.e1', '9.a1'], 'normal_contains': ['36.d1'], 'normalizer': '1.a1', 'old_label': '18.e1', 'projective_image': '1296.3545', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '144.183'}
  • id: 71131072
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1', '9.b1'], 'contains': ['36.e1', '36.f1', '36.m1', '36.p1', '36.be1', '54.c1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [7947, -1, 5054, -1], 'generators': [3, 576, 18, 108, 2], 'label': '1296.3545.18.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.f1', 'projective_image': '144.183', '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: 71131073
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '18.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1', '9.b1'], 'contains': ['36.e1', '36.u1', '36.v1', '54.d1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9590, -1, 7844, -1], 'generators': [759, 108, 18, 2, 576], 'label': '1296.3545.18.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.g1', 'projective_image': '144.183', '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': '2.1'}
  • id: 71131074
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.f1', '9.c1'], 'contains': ['36.b1', '54.e1', '54.f1', '54.g1', '72.b1'], 'core': '36.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4338, -1, 3006, -1], 'generators': [18, 648, 2, 12, 108], 'label': '1296.3545.18.h1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.h1', 'projective_image': '432.745', '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': '24.12'}
  • id: 71131075
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '18.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '6.i1'], 'contains': ['36.x1', '54.e1', '54.g1', '72.c1'], 'core': '108.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2277, -1, 1928, -1], 'generators': [18, 648, 14, 576, 108], 'label': '1296.3545.18.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '18.i1', 'projective_image': '432.745', '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': '12.3'}
  • id: 71131076
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 6, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.d1', '6.f1', '6.o1', '9.b1', '9.c1', '12.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [5010, -1, 3268, -1], 'generators': [3, 108, 12, 18, 648, 2, 576], 'label': '1296.3545.3.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': '144.183', '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': '24.12'}
  • id: 71131077
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '18.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '18.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.f1', '9.b1'], 'contains': ['36.c1', '36.e1', '36.n1', '54.e1'], 'core': '36.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5864, -1, 5447, -1], 'generators': [18, 576, 756, 648, 2], 'label': '1296.3545.18.j1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.j1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.j1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131078
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '18.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.g1', '9.d1'], 'contains': ['36.h1', '36.i1', '36.k1', '36.q1', '36.bf1', '54.c1', '54.h1'], 'core': '72.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7494, -1, 6767, -1], 'generators': [3, 72, 18, 108, 2], 'label': '1296.3545.18.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.k1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.k1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131079
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '18.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '36.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.h1', '9.d1'], 'contains': ['36.h1', '36.r1', '36.s1', '54.d1', '54.i1'], 'core': '72.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8607, -1, 9120, -1], 'generators': [759, 72, 18, 2, 108], 'label': '1296.3545.18.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.l1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.l1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131080
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '18.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '144.183', 'aut_weyl_index': 48, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.i1'], 'contains': ['36.ba1', '54.a1', '54.g1', '72.f1'], 'core': '54.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1292, -1, 2073, -1], 'generators': [18, 72, 14, 108, 648], 'label': '1296.3545.18.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '18.m1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.m1', 'subgroup_fusion': None, 'weyl_group': '72.44'}
  • id: 71131081
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '18.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1', '9.b1'], 'contains': ['36.m1', '36.n1', '36.v1', '54.j1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9394, -1, 7357, -1], 'generators': [3, 108, 774, 2, 576], 'label': '1296.3545.18.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.n1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131082
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.j1', '9.d1'], 'contains': ['36.k1', '36.o1', '36.s1', '54.j1', '54.k1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8182, -1, 8768, -1], 'generators': [3, 72, 774, 2, 108], 'label': '1296.3545.18.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.o1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.o1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131083
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '18.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1', '9.b1'], 'contains': ['36.n1', '36.p1', '36.u1', '54.l1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [9788, -1, 7526, -1], 'generators': [759, 108, 774, 2, 576], 'label': '1296.3545.18.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.p1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131084
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.q1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.k1', '9.d1'], 'contains': ['36.o1', '36.q1', '36.r1', '54.l1', '54.m1'], 'core': '144.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9160, -1, 8946, -1], 'generators': [759, 72, 774, 2, 108], 'label': '1296.3545.18.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.q1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.q1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131085
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '18.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 432, 'centralizer': '24.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.l1', '9.d1'], 'contains': ['36.a1', '36.k1', '36.r1', '54.n1', '54.o1', '54.p1'], 'core': '36.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7021, -1, 8397, -1], 'generators': [3, 108, 648, 2, 72], 'label': '1296.3545.18.r1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.r1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.r1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71131086
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '18.s1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '24.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.l1', '6.m1'], 'contains': ['36.l1', '36.t1', '36.w1', '54.n1', '54.p1'], 'core': '108.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7177, -1, 7188, -1], 'generators': [3, 108, 648, 2, 432], 'label': '1296.3545.18.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.l1', 'old_label': '18.s1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131087
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '3.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1152.157579', 'aut_weyl_index': 6, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.b1', '6.g1', '6.h1', '6.j1', '6.k1', '6.l1', '6.n1', '9.b1', '9.d1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7714, -1, 6253, -1], 'generators': [3, 108, 432, 18, 72, 648, 2], 'label': '1296.3545.3.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '3.c1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131088
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.t1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '6.l1', '9.b1'], 'contains': ['36.c1', '36.m1', '36.u1', '54.n1'], 'core': '36.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8802, -1, 5953, -1], 'generators': [3, 108, 648, 2, 576], 'label': '1296.3545.18.t1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.t1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.t1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131089
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '18.u1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.m1'], 'contains': ['36.bb1', '54.b1', '54.p1', '72.o1'], 'core': '54.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [4852, -1, 4062, -1], 'generators': [3, 648, 74, 12, 108], 'label': '1296.3545.18.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '18.u1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.u1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131090
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '18.v1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 36, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.n1', '6.o1', '6.p1', '9.b1'], 'contains': ['36.c1', '36.p1', '36.v1', '54.q1'], 'core': '36.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6095, -1, 5784, -1], 'generators': [21, 108, 648, 2, 576], 'label': '1296.3545.18.v1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.v1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.v1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71131091
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.w1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.51', 'aut_weyl_index': 144, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.n1', '9.d1'], 'contains': ['36.a1', '36.q1', '36.s1', '54.q1', '54.r1'], 'core': '36.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6256, -1, 8223, -1], 'generators': [21, 72, 648, 2, 108], 'label': '1296.3545.18.w1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.w1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.w1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131092
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '18.x1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.o1', '9.c1'], 'contains': ['36.b1', '54.q1', '54.s1', '72.t1'], 'core': '36.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4718, -1, 3773, -1], 'generators': [21, 648, 2, 12, 108], 'label': '1296.3545.18.x1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.x1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.x1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131093
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '18.y1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.p1'], 'contains': ['36.y1', '54.q1', '54.t1', '72.u1'], 'core': '108.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2067, -1, 3485, -1], 'generators': [21, 648, 2, 84, 108], 'label': '1296.3545.18.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.p1', 'old_label': '18.y1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.y1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131094
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '6.d1', 'complements': ['54.b1', '54.s1', '54.t1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.e1', '12.f1'], 'contains': ['48.a1', '72.a1', '72.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4312, 9126, 4381, 9186], 'generators': [18, 2, 432, 72], 'label': '1296.3545.24.a1', 'mobius_quo': 0, 'mobius_sub': -12, 'normal_closure': '24.a1', 'normal_contained_in': ['6.b1'], 'normal_contains': ['48.a1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '144.183', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.12', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131095
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1', '8.a1', '12.d1'], 'contains': ['48.f1', '72.b1', '72.c1', '72.d1'], 'core': '144.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [2990, -1, 242, -1], 'generators': [18, 2, 576, 12], 'label': '1296.3545.24.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '24.b1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71131096
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '48.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '8.a1', '12.g1'], 'contains': ['48.b1', '72.a1', '72.b1', '72.e1', '72.f1'], 'core': '72.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1736, -1, 578, -1], 'generators': [18, 2, 12, 72], 'label': '1296.3545.24.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '24.c1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131097
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '48.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.i1', '8.a1'], 'contains': ['48.c1', '72.a1', '72.c1', '72.f1'], 'core': '72.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [351, -1, 74, -1], 'generators': [18, 14, 432, 72], 'label': '1296.3545.24.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '24.d1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131098
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2304.d', 'aut_weyl_index': 3, 'centralizer': '48.a1', 'complements': ['324.c1', '324.i1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.m1', '12.n1', '12.o1', '12.p1', '16.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2847, 2308, 2683, 1715], 'generators': [2, 648, 108, 432, 12, 72], 'label': '1296.3545.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['12.a1', '12.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '144.183', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 71131099
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '6.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.e1', '12.h1', '12.i1', '12.j1', '12.k1', '12.l1'], 'contains': ['48.a1', '72.g1', '72.h1', '72.i1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8476, -1, 6124, -1], 'generators': [756, 2, 432, 72], 'label': '1296.3545.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '24.e1', 'projective_image': '144.183', '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': '2.1'}
  • id: 71131100
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.189', 'aut_weyl_index': 72, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.f1', '12.h1', '12.q1'], 'contains': ['48.a1', '72.j1', '72.k1', '72.l1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6175, -1, 4804, -1], 'generators': [3, 2, 432, 72], 'label': '1296.3545.24.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.f1', 'projective_image': '144.183', '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': '2.1'}
  • id: 71131101
    {'ambient': '1296.3545', 'aut_centralizer_order': 18, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '8.b1', '12.g1'], 'contains': ['48.b1', '72.j1', '72.m1', '72.n1', '72.o1'], 'core': '144.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2490, -1, 2147, -1], 'generators': [3, 2, 72, 12], 'label': '1296.3545.24.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '24.g1', 'projective_image': '432.745', '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': '12.4'}
  • id: 71131102
    {'ambient': '1296.3545', 'aut_centralizer_order': 3, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.m1', '8.b1'], 'contains': ['48.d1', '72.k1', '72.m1', '72.o1'], 'core': '432.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [3745, -1, 1981, -1], 'generators': [3, 2, 432, 12], 'label': '1296.3545.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '24.h1', 'projective_image': '432.745', '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': '6.1'}
  • id: 71131103
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '8.b1', '12.d1'], 'contains': ['48.f1', '72.l1', '72.m1'], 'core': '144.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2798, -1, 1814, -1], 'generators': [3, 2, 576, 12], 'label': '1296.3545.24.i1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '24.i1', 'projective_image': '144.183', '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': '6.1'}
  • id: 71131104
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '18.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1', '12.i1', '12.q1'], 'contains': ['48.a1', '72.p1', '72.q1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7833, -1, 5203, -1], 'generators': [774, 2, 432, 72], 'label': '1296.3545.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '24.j1', 'projective_image': '144.183', '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: 71131105
    {'ambient': '1296.3545', 'aut_centralizer_order': 4, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '36.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.f1', '12.j1', '12.q1'], 'contains': ['48.a1', '72.r1', '72.s1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6405, -1, 4636, -1], 'generators': [21, 2, 432, 72], 'label': '1296.3545.24.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.k1', 'projective_image': '144.183', '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': '6.1'}
  • id: 71131106
    {'ambient': '1296.3545', 'aut_centralizer_order': 2, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.o1', '8.c1', '12.d1'], 'contains': ['48.f1', '72.r1', '72.t1'], 'core': '144.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [2644, -1, 1034, -1], 'generators': [21, 2, 576, 12], 'label': '1296.3545.24.l1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '24.l1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131107
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.p1', '8.c1'], 'contains': ['48.g1', '72.r1', '72.u1'], 'core': '144.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [505, -1, 867, -1], 'generators': [21, 2, 576, 84], 'label': '1296.3545.24.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.m1', 'old_label': '24.m1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131108
    {'ambient': '1296.3545', 'aut_centralizer_order': 6, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '72.46', 'aut_weyl_index': 96, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '8.c1', '12.g1'], 'contains': ['48.b1', '72.s1', '72.t1', '72.u1', '72.v1'], 'core': '144.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1389, -1, 1328, -1], 'generators': [21, 2, 12, 72], 'label': '1296.3545.24.n1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '24.n1', 'projective_image': '432.745', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71131109
    {'ambient': '1296.3545', 'aut_centralizer_order': 1, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.46336', 'aut_weyl_index': 4, 'centralizer': '144.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.a1', '8.b1', '8.c1', '12.d1', '12.f1', '12.g1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2074, -1, 1524, -1], 'generators': [3, 72, 12, 18, 2, 432], 'label': '1296.3545.4.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '4.b1', 'projective_image': '144.183', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 71131110
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.5', 'aut_weyl_index': 864, 'centralizer': '36.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['9.b1', '9.c1', '9.d1'], 'contains': ['54.c1', '54.d1', '54.e1', '54.j1', '54.l1', '54.n1', '54.q1', '81.a1'], 'core': '108.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [6843, -1, 7684, -1], 'generators': [3, 108, 18, 648, 2], 'label': '1296.3545.27.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '27.a1', 'projective_image': '432.745', '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: 71131111
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '27.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.12', 'aut_weyl_index': 288, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.c1'], 'contains': ['54.b1', '54.f1', '54.s1', '81.a1', '108.f1'], 'core': '54.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4871, -1, 4303, -1], 'generators': [3, 648, 18, 12, 108], 'label': '1296.3545.27.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.b1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131112
    {'ambient': '1296.3545', 'aut_centralizer_order': 96, 'aut_label': '27.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '72.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.d1'], 'contains': ['54.a1', '54.h1', '54.i1', '54.k1', '54.m1', '54.o1', '54.r1', '81.a1'], 'core': '54.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5606, -1, 9290, -1], 'generators': [3, 72, 18, 648, 108], 'label': '1296.3545.27.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '27.c1', 'projective_image': '1296.3545', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71131113
    {'ambient': '1296.3545', 'aut_centralizer_order': 72, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 288, 'centralizer': '12.b1', 'complements': ['36.g1'], 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.b1', '12.m1', '18.a1', '18.r1', '18.w1'], 'contains': ['72.g1', '108.a1', '108.b1', '108.u1'], 'core': '36.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5972, 2447, 6596, 3983], 'generators': [756, 648, 2, 72], 'label': '1296.3545.36.a1', 'mobius_quo': -1, 'mobius_sub': 6, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '12.b1', '18.a1'], 'normal_contains': ['108.a1', '108.b1', '144.a1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '432.745', 'quotient_action_image': '12.4', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71131114
    {'ambient': '1296.3545', 'aut_centralizer_order': 36, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '24.a1', 'complements': ['36.i1', '36.bf1'], 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.c1', '12.n1', '18.c1', '18.h1', '18.x1'], 'contains': ['108.a1', '108.c1', '108.v1', '144.d1'], 'core': '36.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4557, 4298, 3436, 2684], 'generators': [2, 12, 108, 648], 'label': '1296.3545.36.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.b1', 'normal_contained_in': ['12.a1', '12.c1', '18.c1'], 'normal_contains': ['108.a1', '108.c1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '432.745', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.3', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71131115
    {'ambient': '1296.3545', 'aut_centralizer_order': 24, 'aut_label': '36.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '288.851', 'aut_weyl_index': 24, 'centralizer': '6.b1', 'complements': ['36.j1'], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.c1', '12.p1', '18.j1', '18.t1', '18.v1'], 'contains': ['72.i1', '108.a1'], 'core': '36.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5891, 1299, 5476, 1902], 'generators': [756, 648, 2, 576], 'label': '1296.3545.36.c1', 'mobius_quo': -3, 'mobius_sub': 18, 'normal_closure': '36.c1', 'normal_contained_in': ['12.b1', '12.c1'], 'normal_contains': ['108.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '144.183', 'quotient_action_image': '6.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71131116
    {'ambient': '1296.3545', 'aut_centralizer_order': 144, 'aut_label': '36.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 144, 'centralizer': '48.a1', 'complements': ['36.f1', '36.be1'], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '18.b1', '18.d1', '18.e1'], 'contains': ['108.b1', '108.c1', '108.w1', '144.h1'], 'core': '36.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3361, 6416, 3808, 4765], 'generators': [12, 72, 108, 648], 'label': '1296.3545.36.d1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '36.d1', 'normal_contained_in': ['12.a1', '18.b1', '18.d1', '18.e1'], 'normal_contains': ['108.b1', '108.c1'], 'normalizer': '1.a1', 'old_label': '36.d1', 'projective_image': '1296.3545', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 71131117
    {'ambient': '1296.3545', 'aut_centralizer_order': 16, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '9.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1', '18.f1', '18.g1', '18.j1'], 'contains': ['72.d1', '72.i1', '72.p1', '108.d1'], 'core': '144.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8224, -1, 5651, -1], 'generators': [18, 756, 2, 576], 'label': '1296.3545.36.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '36.e1', 'projective_image': '144.183', '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: 71131118
    {'ambient': '1296.3545', 'aut_centralizer_order': 8, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '48.29', 'aut_weyl_index': 144, 'centralizer': '18.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.f1', '18.f1'], 'contains': ['72.d1', '72.l1', '72.r1', '108.e1'], 'core': '144.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [4203, -1, 4508, -1], 'generators': [3, 18, 2, 576], 'label': '1296.3545.36.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '36.f1', 'projective_image': '144.183', '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: 71131119
    {'ambient': '1296.3545', 'aut_centralizer_order': 12, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 576, 'centralizer': '72.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['9.c1', '12.d1', '12.g1'], 'contains': ['72.b1', '72.m1', '72.t1', '108.e1', '108.f1'], 'core': '432.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2917, -1, 1530, -1], 'generators': [3, 18, 2, 12], 'label': '1296.3545.36.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1', 'old_label': '36.g1', 'projective_image': '432.745', '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': '6.1'}