Abstract group data - 132.1

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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': True, 'Zgroup': True, 'abelian': False, 'abelian_quotient': '44.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 30, 'aut_gen_orders': [2, 2, 30], 'aut_gens': [[1, 4], [3, 4], [1, 92], [89, 28]], 'aut_group': '120.45', 'aut_hash': 45, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 120, 'aut_permdeg': 12, 'aut_perms': [40320, 3628800, 43547329], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 3, 2, 1], [6, 2, 1, 1], [11, 1, 10, 1], [22, 1, 10, 1], [33, 2, 10, 1], [44, 3, 20, 1], [66, 2, 10, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{10}\\times D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 10, 'autcent_group': '20.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 20, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 2, 1], [4, 3, 2], [6, 2, 1], [11, 1, 10], [22, 1, 10], [33, 2, 10], [44, 3, 20], [66, 2, 10]], 'center_label': '22.2', 'center_order': 22, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '11.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['11.1', 1], ['12.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 3, 2, 1], [6, 2, 1, 1], [11, 1, 10, 1], [22, 1, 10, 1], [33, 2, 10, 1], [44, 3, 20, 1], [66, 2, 10, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 132, 'exponents_of_order': [2, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[2, 0, 10]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '66.1', 'hash': 1, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3], 'inner_gens': [[1, 92], [45, 4]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 20, 'irrQ_dim': 40, 'irrR_degree': 4, 'irrep_stats': [[1, 44], [2, 22]], 'label': '132.1', 'linC_count': 10, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 2, 'linQ_dim': 14, 'linQ_dim_count': 4, 'linR_count': 15, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C3:C44', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 66, 'number_divisions': 10, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 12, 'number_subgroups': 16, 'old_label': None, 'order': 132, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 6], [6, 2], [11, 10], [22, 10], [33, 20], [44, 60], [66, 20]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 10], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 40], [3, 124]], 'outer_group': '20.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 20, 'outer_permdeg': 9, 'outer_perms': [720, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{10}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [4, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [10, 2], [20, 3]], 'representations': {'PC': {'code': 1606640850019, 'gens': [1, 3], 'pres': [4, -2, -2, -3, -11, 8, 1106, 46]}, 'GLFp': {'d': 2, 'p': 23, 'gens': [166507, 26912]}, 'Perm': {'d': 18, 'gens': [21016674201600, 4037913, 186810624000, 376610217984000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [44], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3:C_{44}', 'transitive_degree': 132, '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: 108689566
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 132, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 108689577
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 132, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 2, 'size': 1}
  • id: 108689588
    {'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 132, 'label': '3A', 'order': 3, 'powers': [3, 1, 3, 3], 'representative': 88, 'size': 2}
  • id: 108689599
    {'aut_label': '4A1', 'centralizer': '3.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 132, 'label': '4A1', 'order': 4, 'powers': [2, 5, 4, 5], 'representative': 3, 'size': 3}
  • id: 108689610
    {'aut_label': '4A1', 'centralizer': '3.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 132, 'label': '4A-1', 'order': 4, 'powers': [2, 4, 5, 4], 'representative': 1, 'size': 3}
  • id: 108689621
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 132, 'label': '6A', 'order': 6, 'powers': [3, 2, 6, 6], 'representative': 46, 'size': 2}
  • id: 108689629
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 132, 'label': '11A1', 'order': 11, 'powers': [9, 11, 15, 1], 'representative': 48, 'size': 1}
  • id: 108689630
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 132, 'label': '11A-1', 'order': 11, 'powers': [10, 12, 16, 1], 'representative': 84, 'size': 1}
  • id: 108689631
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 132, 'label': '11A2', 'order': 11, 'powers': [13, 16, 8, 1], 'representative': 96, 'size': 1}
  • id: 108689567
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 132, 'label': '11A-2', 'order': 11, 'powers': [14, 15, 7, 1], 'representative': 36, 'size': 1}
  • id: 108689568
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 132, 'label': '11A3', 'order': 11, 'powers': [16, 10, 13, 1], 'representative': 12, 'size': 1}
  • id: 108689569
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 132, 'label': '11A-3', 'order': 11, 'powers': [15, 9, 14, 1], 'representative': 120, 'size': 1}
  • id: 108689570
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 132, 'label': '11A4', 'order': 11, 'powers': [12, 7, 10, 1], 'representative': 60, 'size': 1}
  • id: 108689571
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 132, 'label': '11A-4', 'order': 11, 'powers': [11, 8, 9, 1], 'representative': 72, 'size': 1}
  • id: 108689572
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 132, 'label': '11A5', 'order': 11, 'powers': [8, 13, 11, 1], 'representative': 108, 'size': 1}
  • id: 108689573
    {'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 132, 'label': '11A-5', 'order': 11, 'powers': [7, 14, 12, 1], 'representative': 24, 'size': 1}
  • id: 108689574
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 132, 'label': '22A1', 'order': 22, 'powers': [7, 19, 21, 2], 'representative': 26, 'size': 1}
  • id: 108689575
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 132, 'label': '22A-1', 'order': 22, 'powers': [8, 20, 22, 2], 'representative': 110, 'size': 1}
  • id: 108689576
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 132, 'label': '22A3', 'order': 22, 'powers': [11, 25, 24, 2], 'representative': 74, 'size': 1}
  • id: 108689578
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 132, 'label': '22A-3', 'order': 22, 'powers': [12, 26, 23, 2], 'representative': 62, 'size': 1}
  • id: 108689579
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 132, 'label': '22A5', 'order': 22, 'powers': [15, 24, 19, 2], 'representative': 122, 'size': 1}
  • id: 108689580
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 132, 'label': '22A-5', 'order': 22, 'powers': [16, 23, 20, 2], 'representative': 14, 'size': 1}
  • id: 108689581
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 132, 'label': '22A7', 'order': 22, 'powers': [14, 18, 26, 2], 'representative': 38, 'size': 1}
  • id: 108689582
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 132, 'label': '22A-7', 'order': 22, 'powers': [13, 17, 25, 2], 'representative': 98, 'size': 1}
  • id: 108689583
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 132, 'label': '22A9', 'order': 22, 'powers': [10, 21, 17, 2], 'representative': 86, 'size': 1}
  • id: 108689584
    {'aut_label': '22A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 132, 'label': '22A-9', 'order': 22, 'powers': [9, 22, 18, 2], 'representative': 50, 'size': 1}
  • id: 108689585
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 132, 'label': '33A1', 'order': 33, 'powers': [29, 16, 33, 3], 'representative': 8, 'size': 2}
  • id: 108689586
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 132, 'label': '33A-1', 'order': 33, 'powers': [30, 15, 34, 3], 'representative': 124, 'size': 2}
  • id: 108689587
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 132, 'label': '33A2', 'order': 33, 'powers': [31, 7, 28, 3], 'representative': 16, 'size': 2}
  • id: 108689589
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 132, 'label': '33A-2', 'order': 33, 'powers': [32, 8, 27, 3], 'representative': 116, 'size': 2}
  • id: 108689590
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 132, 'label': '33A4', 'order': 33, 'powers': [35, 9, 30, 3], 'representative': 32, 'size': 2}
  • id: 108689591
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 132, 'label': '33A-4', 'order': 33, 'powers': [36, 10, 29, 3], 'representative': 100, 'size': 2}
  • id: 108689592
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 132, 'label': '33A5', 'order': 33, 'powers': [28, 12, 36, 3], 'representative': 40, 'size': 2}
  • id: 108689593
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 132, 'label': '33A-5', 'order': 33, 'powers': [27, 11, 35, 3], 'representative': 92, 'size': 2}
  • id: 108689594
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 132, 'label': '33A8', 'order': 33, 'powers': [33, 13, 32, 3], 'representative': 64, 'size': 2}
  • id: 108689595
    {'aut_label': '33A1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 132, 'label': '33A-8', 'order': 33, 'powers': [34, 14, 31, 3], 'representative': 68, 'size': 2}
  • id: 108689596
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 132, 'label': '44A1', 'order': 44, 'powers': [17, 39, 41, 4], 'representative': 13, 'size': 3}
  • id: 108689597
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 132, 'label': '44A-1', 'order': 44, 'powers': [18, 40, 42, 5], 'representative': 123, 'size': 3}
  • id: 108689598
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 132, 'label': '44A3', 'order': 44, 'powers': [19, 45, 49, 5], 'representative': 39, 'size': 3}
  • id: 108689600
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 132, 'label': '44A-3', 'order': 44, 'powers': [20, 46, 50, 4], 'representative': 9, 'size': 3}
  • id: 108689601
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 132, 'label': '44A5', 'order': 44, 'powers': [21, 49, 54, 4], 'representative': 61, 'size': 3}
  • id: 108689602
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 132, 'label': '44A-5', 'order': 44, 'powers': [22, 50, 53, 5], 'representative': 75, 'size': 3}
  • id: 108689603
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 132, 'label': '44A7', 'order': 44, 'powers': [23, 55, 46, 5], 'representative': 87, 'size': 3}
  • id: 108689604
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 132, 'label': '44A-7', 'order': 44, 'powers': [24, 56, 45, 4], 'representative': 5, 'size': 3}
  • id: 108689605
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 132, 'label': '44A9', 'order': 44, 'powers': [25, 52, 37, 4], 'representative': 109, 'size': 3}
  • id: 108689606
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 132, 'label': '44A-9', 'order': 44, 'powers': [26, 51, 38, 5], 'representative': 27, 'size': 3}
  • id: 108689607
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 132, 'label': '44A13', 'order': 44, 'powers': [26, 42, 55, 4], 'representative': 25, 'size': 3}
  • id: 108689608
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 132, 'label': '44A-13', 'order': 44, 'powers': [25, 41, 56, 5], 'representative': 111, 'size': 3}
  • id: 108689609
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 132, 'label': '44A15', 'order': 44, 'powers': [24, 37, 48, 5], 'representative': 7, 'size': 3}
  • id: 108689611
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 132, 'label': '44A-15', 'order': 44, 'powers': [23, 38, 47, 4], 'representative': 85, 'size': 3}
  • id: 108689612
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 132, 'label': '44A17', 'order': 44, 'powers': [22, 43, 40, 4], 'representative': 73, 'size': 3}
  • id: 108689613
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 132, 'label': '44A-17', 'order': 44, 'powers': [21, 44, 39, 5], 'representative': 63, 'size': 3}
  • id: 108689614
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 132, 'label': '44A19', 'order': 44, 'powers': [20, 47, 43, 5], 'representative': 11, 'size': 3}
  • id: 108689615
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 132, 'label': '44A-19', 'order': 44, 'powers': [19, 48, 44, 4], 'representative': 37, 'size': 3}
  • id: 108689616
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 132, 'label': '44A21', 'order': 44, 'powers': [18, 53, 51, 4], 'representative': 121, 'size': 3}
  • id: 108689617
    {'aut_label': '44A1', 'centralizer': '3.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 132, 'label': '44A-21', 'order': 44, 'powers': [17, 54, 52, 5], 'representative': 15, 'size': 3}
  • id: 108689618
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 132, 'label': '66A1', 'order': 66, 'powers': [27, 22, 59, 6], 'representative': 6, 'size': 2}
  • id: 108689619
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 132, 'label': '66A-1', 'order': 66, 'powers': [28, 21, 60, 6], 'representative': 42, 'size': 2}
  • id: 108689620
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 132, 'label': '66A5', 'order': 66, 'powers': [33, 20, 66, 6], 'representative': 22, 'size': 2}
  • id: 108689622
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 132, 'label': '66A-5', 'order': 66, 'powers': [34, 19, 65, 6], 'representative': 70, 'size': 2}
  • id: 108689623
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 132, 'label': '66A7', 'order': 66, 'powers': [32, 25, 63, 6], 'representative': 30, 'size': 2}
  • id: 108689624
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 132, 'label': '66A-7', 'order': 66, 'powers': [31, 26, 64, 6], 'representative': 18, 'size': 2}
  • id: 108689625
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 132, 'label': '66A13', 'order': 66, 'powers': [29, 17, 58, 6], 'representative': 10, 'size': 2}
  • id: 108689626
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 132, 'label': '66A-13', 'order': 66, 'powers': [30, 18, 57, 6], 'representative': 82, 'size': 2}
  • id: 108689627
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 132, 'label': '66A19', 'order': 66, 'powers': [35, 24, 61, 6], 'representative': 34, 'size': 2}
  • id: 108689628
    {'aut_label': '66A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 132, 'label': '66A-19', 'order': 66, 'powers': [36, 23, 62, 6], 'representative': 58, 'size': 2}
• 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: 3974282
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1a', '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], 'schur_index': 1}
  • id: 3974284
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1b', '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], 'schur_index': 1}
  • id: 3974285
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1c', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 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, -2, -2], 'schur_index': 1}
  • id: 3974289
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, -1, 0, 0, -1, 2, 2, 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, -1, 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], 'schur_index': 1}
  • id: 3974290
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.2b', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, -2, -1, 0, 0, 1, 2, 2, 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, -1, 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], 'schur_index': 2}
  • id: 3974286
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1d', 'multiplicity': 10, 'nt': [11, 1], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3974287
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1e', 'multiplicity': 10, 'nt': [22, 1], 'qdim': 10, 'qvalues': [10, 10, 10, -10, -10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 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: 3974288
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.1f', 'multiplicity': 20, 'nt': [44, 1], 'qdim': 20, 'qvalues': [20, -20, 20, 0, 0, -20, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 3974291
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.2c', 'multiplicity': 10, 'nt': [33, 2], 'qdim': 20, 'qvalues': [20, 20, -10, 0, 0, -10, -2, -2, -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, 1, 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], 'schur_index': 1}
  • id: 3974283
    {'cdim': 2, 'counter': 10, 'faithful': True, 'group': '132.1', 'group_order': 132, 'image': None, 'label': '132.1.2d', 'multiplicity': 10, 'nt': [132, 0], 'qdim': 20, 'qvalues': [20, -20, -10, 0, 0, 10, -2, -2, -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, 1, 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], 'schur_index': 2}
• 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: 5597263
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 132, 'label': '132.1.1a', '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]]]}
  • id: 5597274
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 66, 'label': '132.1.1b', '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]]]}
  • id: 5597285
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 3, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 33, 'label': '132.1.1c1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5597296
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 4, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.a1.a1', 'kernel_order': 33, 'label': '132.1.1c2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5597307
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 5, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d1', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -1]]]}
  • id: 5597268
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 14, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d10', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, -2]]]}
  • id: 5597318
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 6, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d2', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 1]]]}
  • id: 5597326
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 7, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d3', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -3]]]}
  • id: 5597327
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 8, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d4', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -1]], [[1, -3]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 3]]]}
  • id: 5597328
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 9, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d5', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, -2]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -5]]]}
  • id: 5597264
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 10, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d6', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -2]], [[1, -4]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, -5]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 5]]]}
  • id: 5597265
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 11, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d7', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, -4]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 4]]]}
  • id: 5597266
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 12, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d8', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, 4]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -4]]]}
  • id: 5597267
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 13, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1.a1', 'kernel_order': 12, 'label': '132.1.1d9', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, 2]]]}
  • id: 5597269
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 15, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e1', 'nt': [22, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -5]], [[-1, 2]], [[-1, -2]], [[-1, -5]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, 3]], [[-1, -5]], [[-1, 3]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 5]], [[-1, -3]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -1]]]}
  • id: 5597279
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 24, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e10', 'nt': [22, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 1]], [[-1, 4]], [[-1, -4]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -5]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -3]], [[-1, 2]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, 5]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, -2]]]}
  • id: 5597270
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 16, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e2', 'nt': [22, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 5]], [[-1, -2]], [[-1, 2]], [[-1, 5]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, -3]], [[-1, 5]], [[-1, -3]], [[-1, -5]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -5]], [[-1, 3]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 1]]]}
  • id: 5597271
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 17, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e3', 'nt': [22, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -4]], [[-1, -5]], [[-1, 5]], [[-1, -4]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 4]], [[-1, 2]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -3]]]}
  • id: 5597272
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 18, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e4', 'nt': [22, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 4]], [[-1, 5]], [[-1, -5]], [[-1, 4]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, -1]], [[-1, -3]], [[-1, -5]], [[-1, -3]], [[-1, -4]], [[-1, -2]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 3]]]}
  • id: 5597273
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 19, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e5', 'nt': [22, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, -5]], [[-1, 2]], [[-1, 4]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, -2]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, -4]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -5]]]}
  • id: 5597275
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 20, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e6', 'nt': [22, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 5]], [[-1, -2]], [[-1, -4]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 2]], [[-1, -5]], [[-1, -1]], [[-1, -5]], [[-1, -3]], [[-1, 4]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 5]]]}
  • id: 5597276
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 21, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e7', 'nt': [22, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -5]], [[-1, 5]], [[-1, 4]], [[-1, 5]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, -5]], [[-1, -4]], [[-1, -3]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 4]]]}
  • id: 5597277
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 22, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e8', 'nt': [22, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 5]], [[-1, -5]], [[-1, -4]], [[-1, -5]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 5]], [[-1, 4]], [[-1, 3]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -4]]]}
  • id: 5597278
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 23, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1.a1', 'kernel_order': 6, 'label': '132.1.1e9', 'nt': [22, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -1]], [[-1, -4]], [[-1, 4]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 5]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 3]], [[-1, -2]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, -5]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, 2]]]}
  • id: 5597280
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 25, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f1', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 16]], [[1, 8]], [[1, 20]], [[-1, 18]], [[1, 18]], [[1, 6]], [[-1, 12]], [[-1, 16]], [[1, 2]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 18]], [[1, 16]], [[-1, 10]], [[-1, 14]], [[1, 12]], [[1, 20]], [[-1, 2]], [[1, 19]], [[-1, 3]], [[-1, 13]], [[-1, 5]], [[1, 17]], [[-1, 7]], [[-1, 17]], [[-1, 1]], [[1, 13]], [[1, 1]], [[-1, 9]], [[-1, 21]], [[1, 7]], [[-1, 19]], [[1, 5]], [[1, 15]], [[1, 3]], [[-1, 15]], [[1, 9]], [[1, 21]], [[1, 14]], [[-1, 20]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 18]]]}
  • id: 5597290
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 34, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f10', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 20]], [[-1, 20]], [[1, 14]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[1, 18]], [[1, 2]], [[-1, 16]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 20]], [[1, 8]], [[1, 16]], [[-1, 18]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 15]], [[1, 7]], [[1, 1]], [[-1, 19]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 17]], [[-1, 1]], [[-1, 17]], [[1, 21]], [[1, 5]], [[1, 9]], [[1, 15]], [[1, 19]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 21]], [[-1, 5]], [[1, 18]], [[1, 10]], [[-1, 12]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[-1, 20]]]}
  • id: 5597291
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 35, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f11', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 10]], [[1, 20]], [[-1, 20]], [[1, 14]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[-1, 4]], [[1, 10]], [[1, 18]], [[1, 2]], [[-1, 16]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 20]], [[1, 8]], [[1, 16]], [[-1, 18]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 15]], [[-1, 7]], [[-1, 1]], [[1, 19]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 17]], [[1, 1]], [[1, 17]], [[-1, 21]], [[-1, 5]], [[-1, 9]], [[-1, 15]], [[-1, 19]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 21]], [[1, 5]], [[1, 18]], [[1, 10]], [[-1, 12]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[-1, 20]]]}
  • id: 5597292
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 36, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f12', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 16]], [[-1, 14]], [[-1, 18]], [[1, 12]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 14]], [[1, 10]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 6]], [[1, 20]], [[-1, 18]], [[1, 8]], [[-1, 2]], [[-1, 14]], [[-1, 6]], [[1, 4]], [[1, 16]], [[1, 12]], [[-1, 10]], [[-1, 7]], [[1, 15]], [[1, 21]], [[-1, 3]], [[1, 19]], [[-1, 13]], [[-1, 19]], [[1, 5]], [[-1, 21]], [[-1, 5]], [[1, 1]], [[1, 17]], [[1, 13]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 1]], [[-1, 17]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 16]], [[1, 18]], [[1, 6]], [[1, 2]]]}
  • id: 5597293
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 37, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f13', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 20]], [[1, 4]], [[-1, 18]], [[-1, 2]], [[1, 12]], [[1, 8]], [[1, 16]], [[-1, 16]], [[-1, 20]], [[1, 18]], [[1, 2]], [[1, 14]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 12]], [[1, 20]], [[1, 16]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 18]], [[1, 8]], [[-1, 14]], [[-1, 1]], [[1, 21]], [[1, 3]], [[-1, 13]], [[1, 9]], [[1, 5]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[-1, 7]], [[1, 19]], [[1, 15]], [[-1, 5]], [[1, 1]], [[1, 13]], [[-1, 17]], [[-1, 21]], [[1, 17]], [[-1, 19]], [[-1, 15]], [[1, 10]], [[-1, 8]], [[1, 14]], [[-1, 20]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[-1, 16]]]}
  • id: 5597294
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 38, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f14', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[1, 4]], [[1, 20]], [[-1, 10]], [[-1, 14]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 16]], [[1, 18]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 20]], [[-1, 18]], [[1, 12]], [[1, 4]], [[-1, 14]], [[1, 8]], [[1, 21]], [[-1, 1]], [[-1, 19]], [[1, 9]], [[-1, 13]], [[-1, 17]], [[1, 13]], [[-1, 15]], [[1, 19]], [[1, 15]], [[-1, 3]], [[-1, 7]], [[1, 17]], [[-1, 21]], [[-1, 9]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 7]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[-1, 4]], [[1, 10]], [[1, 18]], [[1, 6]]]}
  • id: 5597295
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 39, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f15', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[1, 4]], [[1, 20]], [[-1, 10]], [[-1, 14]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 20]], [[-1, 8]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 16]], [[1, 18]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 20]], [[-1, 18]], [[1, 12]], [[1, 4]], [[-1, 14]], [[1, 8]], [[-1, 21]], [[1, 1]], [[1, 19]], [[-1, 9]], [[1, 13]], [[1, 17]], [[-1, 13]], [[1, 15]], [[-1, 19]], [[-1, 15]], [[1, 3]], [[1, 7]], [[-1, 17]], [[1, 21]], [[1, 9]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 3]], [[-1, 7]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[-1, 4]], [[1, 10]], [[1, 18]], [[1, 6]]]}
  • id: 5597297
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 40, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f16', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 20]], [[1, 4]], [[-1, 18]], [[-1, 2]], [[1, 12]], [[1, 8]], [[1, 16]], [[-1, 16]], [[-1, 20]], [[1, 18]], [[1, 2]], [[1, 14]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 12]], [[1, 20]], [[1, 16]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[-1, 18]], [[1, 8]], [[-1, 14]], [[1, 1]], [[-1, 21]], [[-1, 3]], [[1, 13]], [[-1, 9]], [[-1, 5]], [[1, 9]], [[-1, 7]], [[1, 3]], [[1, 7]], [[-1, 19]], [[-1, 15]], [[1, 5]], [[-1, 1]], [[-1, 13]], [[1, 17]], [[1, 21]], [[-1, 17]], [[1, 19]], [[1, 15]], [[1, 10]], [[-1, 8]], [[1, 14]], [[-1, 20]], [[1, 6]], [[1, 2]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[-1, 16]]]}
  • id: 5597298
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 41, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f17', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 20]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 10]], [[-1, 20]], [[-1, 12]], [[1, 18]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 16]], [[1, 20]], [[1, 4]], [[-1, 18]], [[-1, 17]], [[1, 5]], [[1, 7]], [[-1, 1]], [[1, 21]], [[-1, 19]], [[-1, 21]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 15]], [[-1, 13]], [[1, 19]], [[1, 17]], [[1, 1]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 15]], [[1, 13]], [[-1, 16]], [[-1, 4]], [[1, 18]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 6]], [[1, 2]], [[-1, 8]]]}
  • id: 5597299
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 42, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f18', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 18]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 16]], [[1, 18]], [[1, 6]], [[-1, 8]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 14]], [[-1, 10]], [[1, 20]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 4]], [[1, 5]], [[-1, 17]], [[-1, 15]], [[1, 21]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 13]], [[1, 15]], [[-1, 13]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[-1, 21]], [[-1, 19]], [[1, 17]], [[1, 19]], [[1, 7]], [[-1, 9]], [[1, 6]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[1, 14]]]}
  • id: 5597300
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 43, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f19', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 18]], [[-1, 14]], [[1, 14]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 4]], [[-1, 16]], [[1, 18]], [[1, 6]], [[-1, 8]], [[-1, 20]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 14]], [[-1, 10]], [[1, 20]], [[-1, 6]], [[-1, 2]], [[-1, 18]], [[1, 4]], [[-1, 5]], [[1, 17]], [[1, 15]], [[-1, 21]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 13]], [[-1, 15]], [[1, 13]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 5]], [[1, 21]], [[1, 19]], [[-1, 17]], [[-1, 19]], [[-1, 7]], [[1, 9]], [[1, 6]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[1, 14]]]}
  • id: 5597281
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 26, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f2', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[1, 20]], [[-1, 18]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 16]], [[1, 10]], [[1, 6]], [[-1, 20]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 20]], [[-1, 3]], [[1, 19]], [[1, 9]], [[1, 17]], [[-1, 5]], [[1, 15]], [[1, 5]], [[1, 21]], [[-1, 9]], [[-1, 21]], [[1, 13]], [[1, 1]], [[-1, 15]], [[1, 3]], [[-1, 17]], [[-1, 7]], [[-1, 19]], [[1, 7]], [[-1, 13]], [[-1, 1]], [[-1, 8]], [[1, 2]], [[-1, 20]], [[-1, 16]], [[1, 18]], [[1, 6]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 4]]]}
  • id: 5597301
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 44, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f20', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 20]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 8]], [[1, 10]], [[-1, 20]], [[-1, 12]], [[1, 18]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 2]], [[1, 16]], [[1, 20]], [[1, 4]], [[-1, 18]], [[1, 17]], [[-1, 5]], [[-1, 7]], [[1, 1]], [[-1, 21]], [[1, 19]], [[1, 21]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 15]], [[1, 13]], [[-1, 19]], [[-1, 17]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 15]], [[-1, 13]], [[-1, 16]], [[-1, 4]], [[1, 18]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 6]], [[1, 2]], [[-1, 8]]]}
  • id: 5597282
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 27, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f3', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[1, 20]], [[-1, 18]], [[1, 8]], [[1, 16]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 16]], [[1, 10]], [[1, 6]], [[-1, 20]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[-1, 14]], [[1, 16]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 20]], [[1, 3]], [[-1, 19]], [[-1, 9]], [[-1, 17]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 21]], [[1, 9]], [[1, 21]], [[-1, 13]], [[-1, 1]], [[1, 15]], [[-1, 3]], [[1, 17]], [[1, 7]], [[1, 19]], [[-1, 7]], [[1, 13]], [[1, 1]], [[-1, 8]], [[1, 2]], [[-1, 20]], [[-1, 16]], [[1, 18]], [[1, 6]], [[1, 10]], [[1, 14]], [[-1, 12]], [[-1, 4]]]}
  • id: 5597283
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 28, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f4', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[1, 16]], [[1, 8]], [[1, 20]], [[-1, 18]], [[1, 18]], [[1, 6]], [[-1, 12]], [[-1, 16]], [[1, 2]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 4]], [[1, 10]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 18]], [[1, 16]], [[-1, 10]], [[-1, 14]], [[1, 12]], [[1, 20]], [[-1, 2]], [[-1, 19]], [[1, 3]], [[1, 13]], [[1, 5]], [[-1, 17]], [[1, 7]], [[1, 17]], [[1, 1]], [[-1, 13]], [[-1, 1]], [[1, 9]], [[1, 21]], [[-1, 7]], [[1, 19]], [[-1, 5]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[-1, 9]], [[-1, 21]], [[1, 14]], [[-1, 20]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[-1, 8]], [[1, 10]], [[1, 18]]]}
  • id: 5597284
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 29, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f5', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 18]], [[1, 8]], [[-1, 14]], [[1, 4]], [[-1, 2]], [[1, 16]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 14]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[-1, 12]], [[-1, 8]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 20]], [[-1, 14]], [[1, 16]], [[-1, 6]], [[-1, 13]], [[1, 9]], [[-1, 17]], [[1, 15]], [[-1, 7]], [[1, 21]], [[1, 7]], [[1, 3]], [[1, 17]], [[-1, 3]], [[-1, 5]], [[1, 19]], [[-1, 21]], [[1, 13]], [[-1, 15]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 5]], [[-1, 19]], [[-1, 20]], [[-1, 16]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 10]]]}
  • id: 5597286
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 30, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f6', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 8]], [[-1, 18]], [[1, 20]], [[-1, 6]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 18]], [[-1, 16]], [[-1, 20]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 14]], [[-1, 10]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 16]], [[1, 9]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[1, 15]], [[-1, 1]], [[-1, 15]], [[-1, 19]], [[-1, 5]], [[1, 19]], [[1, 17]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 21]], [[1, 13]], [[-1, 21]], [[-1, 17]], [[1, 3]], [[1, 2]], [[1, 6]], [[-1, 16]], [[-1, 4]], [[1, 10]], [[1, 18]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 12]]]}
  • id: 5597287
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 31, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f7', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 8]], [[-1, 18]], [[1, 20]], [[-1, 6]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 18]], [[-1, 16]], [[-1, 20]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 14]], [[-1, 10]], [[1, 20]], [[1, 4]], [[1, 12]], [[-1, 18]], [[-1, 14]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 16]], [[-1, 9]], [[1, 13]], [[-1, 5]], [[1, 7]], [[-1, 15]], [[1, 1]], [[1, 15]], [[1, 19]], [[1, 5]], [[-1, 19]], [[-1, 17]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 21]], [[-1, 13]], [[1, 21]], [[1, 17]], [[-1, 3]], [[1, 2]], [[1, 6]], [[-1, 16]], [[-1, 4]], [[1, 10]], [[1, 18]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 12]]]}
  • id: 5597288
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 32, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f8', 'nt': [44, 20], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 11]], [[-1, 11]], [[-1, 0]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 18]], [[1, 8]], [[-1, 14]], [[1, 4]], [[-1, 2]], [[1, 16]], [[-1, 10]], [[1, 10]], [[1, 18]], [[1, 14]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 16]], [[-1, 20]], [[-1, 12]], [[-1, 8]], [[1, 12]], [[-1, 2]], [[-1, 18]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 20]], [[-1, 14]], [[1, 16]], [[-1, 6]], [[1, 13]], [[-1, 9]], [[1, 17]], [[-1, 15]], [[1, 7]], [[-1, 21]], [[-1, 7]], [[-1, 3]], [[-1, 17]], [[1, 3]], [[1, 5]], [[-1, 19]], [[1, 21]], [[-1, 13]], [[1, 15]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 5]], [[1, 19]], [[-1, 20]], [[-1, 16]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[1, 14]], [[1, 2]], [[-1, 8]], [[1, 10]]]}
  • id: 5597289
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 132, 'counter': 33, 'cyclotomic_n': 44, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '44.2', 'image_order': 44, 'indicator': 0, 'kernel': '44.a1.a1', 'kernel_order': 3, 'label': '132.1.1f9', 'nt': [44, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 11]], [[1, 11]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 16]], [[-1, 14]], [[-1, 18]], [[1, 12]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 16]], [[1, 14]], [[1, 10]], [[1, 18]], [[-1, 12]], [[-1, 4]], [[-1, 20]], [[1, 6]], [[1, 20]], [[-1, 18]], [[1, 8]], [[-1, 2]], [[-1, 14]], [[-1, 6]], [[1, 4]], [[1, 16]], [[1, 12]], [[-1, 10]], [[1, 7]], [[-1, 15]], [[-1, 21]], [[1, 3]], [[-1, 19]], [[1, 13]], [[1, 19]], [[-1, 5]], [[1, 21]], [[1, 5]], [[-1, 1]], [[-1, 17]], [[-1, 13]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 1]], [[1, 17]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 8]], [[-1, 20]], [[1, 14]], [[-1, 16]], [[1, 18]], [[1, 6]], [[1, 2]]]}
  • id: 5597302
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 45, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 22, 'label': '132.1.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[2, 0]], [[2, 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]], [[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]], [[-1, 0]]]}
  • id: 5597303
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 46, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '12.1', 'image_order': 12, 'indicator': -1, 'kernel': '12.a1.a1', 'kernel_order': 11, 'label': '132.1.2b', 'nt': [12, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[-2, 0]], [[-2, 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]], [[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]], [[1, 0]]]}
  • id: 5597304
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 47, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c1', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, -5]], [[2, 1]], [[2, -2]], [[2, -4]], [[2, -3]], [[2, 3]], [[2, 4]], [[2, 2]], [[2, 5]], [[2, -1]], [[2, -1]], [[2, -4]], [[2, 3]], [[2, 4]], [[2, -5]], [[2, 2]], [[2, 5]], [[2, -2]], [[2, 1]], [[2, -3]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 5]], [[-1, -5]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -1]]]}
  • id: 5597314
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 56, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c10', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 3]], [[2, 5]], [[2, -5]], [[2, -3]], [[2, 4]], [[2, -1]], [[2, -2]], [[2, -2]], [[2, 3]], [[2, -5]], [[2, -3]], [[2, 1]], [[2, 4]], [[2, -1]], [[2, -4]], [[2, 2]], [[2, 5]], [[-1, 2]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, -3]], [[-1, 5]], [[-1, -4]], [[-1, -5]], [[-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]], [[-1, -4]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, 4]], [[-1, 5]], [[-1, -2]]]}
  • id: 5597305
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 48, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c2', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 5]], [[2, -1]], [[2, 2]], [[2, 4]], [[2, 3]], [[2, -3]], [[2, -4]], [[2, -2]], [[2, -5]], [[2, 1]], [[2, 1]], [[2, 4]], [[2, -3]], [[2, -4]], [[2, 5]], [[2, -2]], [[2, -5]], [[2, 2]], [[2, -1]], [[2, 3]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -5]], [[-1, 5]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 1]]]}
  • id: 5597306
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 49, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c3', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, -4]], [[2, 3]], [[2, 5]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -5]], [[2, 4]], [[2, -3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -4]], [[2, -5]], [[2, 4]], [[2, 5]], [[2, 3]], [[2, 2]], [[-1, 3]], [[-1, -5]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -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]], [[-1, 5]], [[-1, 4]], [[-1, -4]], [[-1, -1]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, -5]], [[-1, 2]], [[-1, -3]]]}
  • id: 5597308
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 50, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c4', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 4]], [[2, -3]], [[2, -5]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 5]], [[2, -4]], [[2, 3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 4]], [[2, 5]], [[2, -4]], [[2, -5]], [[2, -3]], [[2, -2]], [[-1, -3]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 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]], [[-1, -5]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, 5]], [[-1, -2]], [[-1, 3]]]}
  • id: 5597309
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 51, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c5', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, -3]], [[2, 5]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, -5]], [[2, -5]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -3]], [[2, -1]], [[2, 3]], [[2, 1]], [[2, 5]], [[2, -4]], [[-1, 5]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-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, 0]], [[0, 0]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-1, -5]]]}
  • id: 5597310
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 52, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c6', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 3]], [[2, -5]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, 5]], [[2, 5]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 3]], [[2, 1]], [[2, -3]], [[2, -1]], [[2, -5]], [[2, 4]], [[-1, -5]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-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, 0]], [[0, 0]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-1, 5]]]}
  • id: 5597311
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 53, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c7', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, -2]], [[2, -4]], [[2, -3]], [[2, 5]], [[2, 1]], [[2, -1]], [[2, -5]], [[2, 3]], [[2, 2]], [[2, 4]], [[2, 4]], [[2, 5]], [[2, -1]], [[2, -5]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[2, -4]], [[2, 1]], [[-1, -4]], [[-1, 3]], [[-1, 5]], [[-1, 4]], [[-1, -5]], [[-1, 1]], [[-1, -3]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 5]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, 3]], [[-1, 1]], [[-1, 4]]]}
  • id: 5597312
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 54, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c8', 'nt': [33, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 2]], [[2, 4]], [[2, 3]], [[2, -5]], [[2, -1]], [[2, 1]], [[2, 5]], [[2, -3]], [[2, -2]], [[2, -4]], [[2, -4]], [[2, -5]], [[2, 1]], [[2, 5]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[2, 4]], [[2, -1]], [[-1, 4]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, 5]], [[-1, -1]], [[-1, 3]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -5]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, -3]], [[-1, -1]], [[-1, -4]]]}
  • id: 5597313
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 55, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '66.1', 'image_order': 66, 'indicator': 0, 'kernel': '66.a1.a1', 'kernel_order': 2, 'label': '132.1.2c9', 'nt': [33, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -3]], [[2, -5]], [[2, 5]], [[2, 3]], [[2, -4]], [[2, 1]], [[2, 2]], [[2, 2]], [[2, -3]], [[2, 5]], [[2, 3]], [[2, -1]], [[2, -4]], [[2, 1]], [[2, 4]], [[2, -2]], [[2, -5]], [[-1, -2]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, 3]], [[-1, -5]], [[-1, 4]], [[-1, 5]], [[-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]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, -4]], [[-1, -5]], [[-1, 2]]]}
  • id: 5597315
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 57, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d1', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, -5]], [[2, 1]], [[2, -2]], [[2, -4]], [[2, -3]], [[2, 3]], [[2, 4]], [[2, 2]], [[2, 5]], [[2, -1]], [[-2, -1]], [[-2, -4]], [[-2, 3]], [[-2, 4]], [[-2, -5]], [[-2, 2]], [[-2, 5]], [[-2, -2]], [[-2, 1]], [[-2, -3]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, 4]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 5]], [[-1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -1]]]}
  • id: 5597325
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 66, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d10', 'nt': [132, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 3]], [[2, 5]], [[2, -5]], [[2, -3]], [[2, 4]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, 3]], [[-2, -5]], [[-2, -3]], [[-2, 1]], [[-2, 4]], [[-2, -1]], [[-2, -4]], [[-2, 2]], [[-2, 5]], [[-1, 2]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, -3]], [[-1, 5]], [[-1, -4]], [[-1, -5]], [[-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]], [[1, -4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, -2]]]}
  • id: 5597316
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 58, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d2', 'nt': [132, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 5]], [[2, -1]], [[2, 2]], [[2, 4]], [[2, 3]], [[2, -3]], [[2, -4]], [[2, -2]], [[2, -5]], [[2, 1]], [[-2, 1]], [[-2, 4]], [[-2, -3]], [[-2, -4]], [[-2, 5]], [[-2, -2]], [[-2, -5]], [[-2, 2]], [[-2, -1]], [[-2, 3]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, -4]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 1]]]}
  • id: 5597317
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 59, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d3', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, -4]], [[2, 3]], [[2, 5]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -5]], [[2, 4]], [[2, -3]], [[-2, -3]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, -4]], [[-2, -5]], [[-2, 4]], [[-2, 5]], [[-2, 3]], [[-2, 2]], [[-1, 3]], [[-1, -5]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -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]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -3]]]}
  • id: 5597319
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 60, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d4', 'nt': [132, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 4]], [[2, -3]], [[2, -5]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, 5]], [[2, -4]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, 4]], [[-2, 5]], [[-2, -4]], [[-2, -5]], [[-2, -3]], [[-2, -2]], [[-1, -3]], [[-1, 5]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 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]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 3]]]}
  • id: 5597320
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 61, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d5', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, -3]], [[2, 5]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 4]], [[2, -2]], [[2, -1]], [[2, 3]], [[2, -5]], [[-2, -5]], [[-2, 2]], [[-2, 4]], [[-2, -2]], [[-2, -3]], [[-2, -1]], [[-2, 3]], [[-2, 1]], [[-2, 5]], [[-2, -4]], [[-1, 5]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 4]], [[-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, 0]], [[0, 0]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, -5]]]}
  • id: 5597321
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 62, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d6', 'nt': [132, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 3]], [[2, -5]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -4]], [[2, 2]], [[2, 1]], [[2, -3]], [[2, 5]], [[-2, 5]], [[-2, -2]], [[-2, -4]], [[-2, 2]], [[-2, 3]], [[-2, 1]], [[-2, -3]], [[-2, -1]], [[-2, -5]], [[-2, 4]], [[-1, -5]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -4]], [[-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, 0]], [[0, 0]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 5]]]}
  • id: 5597322
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 63, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d7', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, -2]], [[2, -4]], [[2, -3]], [[2, 5]], [[2, 1]], [[2, -1]], [[2, -5]], [[2, 3]], [[2, 2]], [[2, 4]], [[-2, 4]], [[-2, 5]], [[-2, -1]], [[-2, -5]], [[-2, -2]], [[-2, 3]], [[-2, 2]], [[-2, -3]], [[-2, -4]], [[-2, 1]], [[-1, -4]], [[-1, 3]], [[-1, 5]], [[-1, 4]], [[-1, -5]], [[-1, 1]], [[-1, -3]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 4]]]}
  • id: 5597323
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 64, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d8', 'nt': [132, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 2]], [[2, 4]], [[2, 3]], [[2, -5]], [[2, -1]], [[2, 1]], [[2, 5]], [[2, -3]], [[2, -2]], [[2, -4]], [[-2, -4]], [[-2, -5]], [[-2, 1]], [[-2, 5]], [[-2, 2]], [[-2, -3]], [[-2, -2]], [[-2, 3]], [[-2, 4]], [[-2, -1]], [[-1, 4]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, 5]], [[-1, -1]], [[-1, 3]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -4]]]}
  • id: 5597324
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 22, 'counter': 65, 'cyclotomic_n': 11, 'dim': 2, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '132.1', 'group_counter': 1, 'group_order': 132, 'image': None, 'image_isoclass': '132.1', 'image_order': 132, 'indicator': 0, 'kernel': '132.a1.a1', 'kernel_order': 1, 'label': '132.1.2d9', 'nt': [132, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -3]], [[2, -5]], [[2, 5]], [[2, 3]], [[2, -4]], [[2, 1]], [[2, 2]], [[-2, 2]], [[-2, -3]], [[-2, 5]], [[-2, 3]], [[-2, -1]], [[-2, -4]], [[-2, 1]], [[-2, 4]], [[-2, -2]], [[-2, -5]], [[-1, -2]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, 3]], [[-1, -5]], [[-1, 4]], [[-1, 5]], [[-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]], [[1, 4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, 2]]]}
• 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: 61687741
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 132, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 66, 'label': '132.1.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '132.1', 'subgroup_hash': 1, 'subgroup_order': 132, 'subgroup_tex': 'C_3:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 61687745
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': True, 'core_order': 66, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '132.1.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
  • id: 61687746
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 22, 'counter': 3, 'cyclic': True, 'direct': None, 'hall': 22, 'label': '132.1.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 61687747
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': True, 'core_order': 33, 'counter': 4, 'cyclic': True, 'direct': False, 'hall': 33, 'label': '132.1.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
  • id: 61687748
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': True, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 22, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '132.1.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 61687749
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': True, 'centralizer_order': 22, 'characteristic': True, 'core_order': 12, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '132.1.11.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 61687750
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': True, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 11, 'counter': 7, 'cyclic': True, 'direct': True, 'hall': 11, 'label': '132.1.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': True, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 61687751
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': True, 'core_order': 6, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '132.1.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 61687752
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 9, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '132.1.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33, 'quotient_simple': 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': 2}
  • id: 61687742
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': False, 'central_factor': False, 'centralizer_order': 66, 'characteristic': True, 'core_order': 3, 'counter': 10, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '132.1.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{44}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 61687743
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': True, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 2, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '132.1.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{11}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 61687744
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '132.1', 'ambient_counter': 1, 'ambient_order': 132, 'ambient_tex': 'C_3:C_{44}', 'central': True, 'central_factor': False, 'centralizer_order': 132, 'characteristic': True, 'core_order': 1, 'counter': 12, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '132.1.132.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '132.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{44}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C4'], '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: 61687741
    {'ambient': '132.1', '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': '6.a1.a1', 'complements': ['132.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7256, 7232, 3197, 7224, 5929, 6494, 5929, 6494], 'generators': [1, 2, 88, 12], 'label': '132.1.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '11.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '6.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 61687742
    {'ambient': '132.1', 'aut_centralizer_order': 60, 'aut_label': '44.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1'], 'contains': ['132.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2641, 3239, 7295, 3344, 4199, 7769, 4199, 7769], 'generators': [88], 'label': '132.1.44.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '132.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 61687743
    {'ambient': '132.1', 'aut_centralizer_order': 120, 'aut_label': '66.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 120, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['132.a1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5282, 5283, 4753, 5268, 6506, 4900, 6506, 4900], 'generators': [2], 'label': '132.1.66.a1.a1', 'mobius_quo': -1, 'mobius_sub': -3, 'normal_closure': '66.a1.a1', 'normal_contained_in': ['6.a1.a1', '22.a1.a1'], 'normal_contains': ['132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '66.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '66.1', 'quotient_action_kernel_order': 66, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 61687744
    {'ambient': '132.1', 'aut_centralizer_order': None, 'aut_label': '132.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'contains': [], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2641, 3239, 7295, 3344, 4199, 4900, 4199, 4900], 'generators': [], 'label': '132.1.132.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '132.a1.a1', 'normal_contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '132.a1.a1', 'projective_image': '132.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 61687745
    {'ambient': '132.1', 'aut_centralizer_order': 6, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 6, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5000, 5723, 5683, 5710, 3109, 4701, 3109, 4701], 'generators': [2, 12, 88], 'label': '132.1.2.a1.a1', 'mobius_quo': -1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '6.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 61687746
    {'ambient': '132.1', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '20.5', 'aut_weyl_index': 6, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '33.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7256, -1, 3197, -1, 5929, -1, 5929, -1], 'generators': [1, 2, 12], 'label': '132.1.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '6.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 61687747
    {'ambient': '132.1', 'aut_centralizer_order': 6, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 6, 'centralizer': '2.a1.a1', 'complements': ['33.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['12.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2359, 2893, 7951, 2871, 1122, 4900, 1122, 4900], 'generators': [88, 12], 'label': '132.1.4.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '12.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 61687748
    {'ambient': '132.1', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '66.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3975, 4873, 4509, 4858, 3942, 1394, 3942, 1394], 'generators': [2, 12], 'label': '132.1.6.a1.a1', 'mobius_quo': 1, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '6.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 61687749
    {'ambient': '132.1', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 10, 'centralizer': '6.a1.a1', 'complements': ['12.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '33.a1.a1'], 'core': '11.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9102, 8899, 1012, 8896, 8814, 8287, 8814, 8287], 'generators': [1, 2, 88], 'label': '132.1.11.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '66.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 61687750
    {'ambient': '132.1', 'aut_centralizer_order': 12, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['132.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [898, 1101, 8988, 1104, 1635, 1713, 1635, 1713], 'generators': [12], 'label': '132.1.12.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '12.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.1', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 61687751
    {'ambient': '132.1', 'aut_centralizer_order': 60, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 60, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '66.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5923, 7012, 4289, 7004, 6506, 8088, 6506, 8088], 'generators': [2, 88], 'label': '132.1.22.a1.a1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.a1.a1', '11.a1.a1'], 'normal_contains': ['44.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '66.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 61687752
    {'ambient': '132.1', 'aut_centralizer_order': 20, 'aut_label': '33.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 60, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7666, -1, 2213, -1, 8814, -1, 8814, -1], 'generators': [1], 'label': '132.1.33.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '11.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '66.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}