Abstract group data - 816.49

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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': False, 'abelian': False, 'abelian_quotient': '272.23', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 48, 'aut_gen_orders': [2, 2, 2, 16, 2, 3], 'aut_gens': [[1, 2], [409, 2], [1, 410], [1, 614], [1, 386], [1, 274], [545, 2]], 'aut_group': '768.1076025', 'aut_hash': 1076025, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 768, 'aut_permdeg': 26, 'aut_perms': [171273087646910420371200000, 620448401733239439370800, 11015314436759886906509520, 464089581044287530250, 109225948369095376955136000, 78208080363735803889408000], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 2, 1], [3, 2, 1, 1], [4, 1, 2, 1], [4, 3, 2, 1], [6, 2, 1, 1], [8, 1, 4, 1], [8, 3, 4, 1], [12, 2, 2, 1], [17, 1, 16, 1], [24, 2, 4, 1], [34, 1, 16, 1], [34, 3, 32, 1], [51, 2, 16, 1], [68, 1, 32, 1], [68, 3, 32, 1], [102, 2, 16, 1], [136, 1, 64, 1], [136, 3, 64, 1], [204, 2, 32, 1], [408, 2, 64, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^2\\times C_{16}\\times D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': '128.2136', 'autcent_hash': 2136, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\times C_{16}', '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], [2, 3, 2], [3, 2, 1], [4, 1, 2], [4, 3, 2], [6, 2, 1], [8, 1, 4], [8, 3, 4], [12, 2, 2], [17, 1, 16], [24, 2, 4], [34, 1, 16], [34, 3, 32], [51, 2, 16], [68, 1, 32], [68, 3, 32], [102, 2, 16], [136, 1, 64], [136, 3, 64], [204, 2, 32], [408, 2, 64]], 'center_label': '136.2', 'center_order': 136, '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', '2.1', '2.1', '3.1', '17.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 49, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['17.1', 1], ['6.1', 1], ['8.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [3, 2, 1, 1], [4, 1, 2, 1], [4, 3, 2, 1], [6, 2, 1, 1], [8, 1, 4, 1], [8, 3, 4, 1], [12, 2, 2, 1], [17, 1, 16, 1], [24, 2, 4, 1], [34, 1, 16, 1], [34, 3, 16, 2], [51, 2, 16, 1], [68, 1, 32, 1], [68, 3, 32, 1], [102, 2, 16, 1], [136, 1, 64, 1], [136, 3, 64, 1], [204, 2, 32, 1], [408, 2, 64, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 216, 'exponent': 408, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 17], 'faithful_reps': [[2, 0, 64]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '204.10', 'hash': 49, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3], 'inner_gens': [[1, 274], [545, 2]], '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': 128, 'irrQ_dim': 128, 'irrR_degree': 4, 'irrep_stats': [[1, 272], [2, 136]], 'label': '816.49', 'linC_count': 64, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 22, 'linQ_degree_count': 16, 'linQ_dim': 22, 'linQ_dim_count': 16, 'linR_count': 160, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'S3*C136', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 408, 'number_divisions': 24, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 40, 'number_subgroup_classes': 44, 'number_subgroups': 72, 'old_label': None, 'order': 816, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 8], [6, 2], [8, 16], [12, 4], [17, 16], [24, 8], [34, 112], [51, 32], [68, 128], [102, 32], [136, 256], [204, 64], [408, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 16, 'outer_gen_orders': [2, 2, 2, 16], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[409, 2], [1, 410], [1, 614], [1, 626]], 'outer_group': '128.2136', 'outer_hash': 2136, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 128, 'outer_perms': [3012848298322462290047636316206070830590600846754565189610607901552871371081335602108479564103390981918887386637702854611498331176338904053322043727351325298295337656606958232198284389401146867497898583379392681647, 97170289183736364864800754100122597318101063507168658390722301915172966294653342407898840762358641060944776531689429585243343490565747997302691911058809318562168429311469715880117995314441289281345606196920320000000, 194340578367472729729601508200245194636202127014337316781444603831014085194204504601775522422533683496046070694338988321451437657728025329780177083386179586923727317840359006797550484326107423893461401600000000000000, 6073522597213906119774692435379305815427762486466919695128518906400685270031330666973266203002374405570487531677438023659618077807581319954945559943493345242503376396008843547414036708641774114008091676340810603440], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_{16}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [2, 8, 17], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 3], [8, 1], [16, 4], [32, 4], [64, 3], [128, 1]], 'representations': {'PC': {'code': 118863984285323436332394937633996831, 'gens': [1, 2], 'pres': [6, -2, -2, -2, -2, -3, -17, 3289, 31, 9866, 50, 6723, 69, 16804, 118]}, 'GLFp': {'d': 2, 'p': 137, 'gens': [349704009, 204000477]}, 'Perm': {'d': 28, 'gens': [10921132818405825157029888000, 23020551052634258415452160000, 22324392524313, 34342517091477695034654720000, 10921132818399422783324160000, 128047474114560000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 136], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times C_{136}', 'transitive_degree': 408, '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: 140998245
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 49, 'group_order': 816, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140998356
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 49, 'group_order': 816, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 408, 'size': 1}
  • id: 140998467
    {'aut_label': '2B', 'centralizer': '3.a1.a1', 'counter': 3, 'group_counter': 49, 'group_order': 816, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 1, 'size': 3}
  • id: 140998578
    {'aut_label': '2B', 'centralizer': '3.a1.a1', 'counter': 4, 'group_counter': 49, 'group_order': 816, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 681, 'size': 3}
  • id: 140998598
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 49, 'group_order': 816, 'label': '3A', 'order': 3, 'powers': [5, 1, 5], 'representative': 272, 'size': 2}
  • id: 140998609
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 49, 'group_order': 816, 'label': '4A1', 'order': 4, 'powers': [2, 7, 6], 'representative': 612, 'size': 1}
  • id: 140998620
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 49, 'group_order': 816, 'label': '4A-1', 'order': 4, 'powers': [2, 6, 7], 'representative': 204, 'size': 1}
  • id: 140998631
    {'aut_label': '4B1', 'centralizer': '3.a1.a1', 'counter': 8, 'group_counter': 49, 'group_order': 816, 'label': '4B1', 'order': 4, 'powers': [2, 9, 8], 'representative': 341, 'size': 3}
  • id: 140998642
    {'aut_label': '4B1', 'centralizer': '3.a1.a1', 'counter': 9, 'group_counter': 49, 'group_order': 816, 'label': '4B-1', 'order': 4, 'powers': [2, 8, 9], 'representative': 749, 'size': 3}
  • id: 140998246
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 49, 'group_order': 816, 'label': '6A', 'order': 6, 'powers': [5, 2, 10], 'representative': 136, 'size': 2}
  • id: 140998257
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 49, 'group_order': 816, 'label': '8A1', 'order': 8, 'powers': [7, 13, 11], 'representative': 102, 'size': 1}
  • id: 140998268
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 49, 'group_order': 816, 'label': '8A-1', 'order': 8, 'powers': [6, 14, 12], 'representative': 714, 'size': 1}
  • id: 140998279
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 49, 'group_order': 816, 'label': '8A3', 'order': 8, 'powers': [6, 11, 13], 'representative': 306, 'size': 1}
  • id: 140998290
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 49, 'group_order': 816, 'label': '8A-3', 'order': 8, 'powers': [7, 12, 14], 'representative': 510, 'size': 1}
  • id: 140998301
    {'aut_label': '8B1', 'centralizer': '3.a1.a1', 'counter': 15, 'group_counter': 49, 'group_order': 816, 'label': '8B1', 'order': 8, 'powers': [6, 17, 15], 'representative': 579, 'size': 3}
  • id: 140998312
    {'aut_label': '8B1', 'centralizer': '3.a1.a1', 'counter': 16, 'group_counter': 49, 'group_order': 816, 'label': '8B-1', 'order': 8, 'powers': [7, 18, 16], 'representative': 783, 'size': 3}
  • id: 140998323
    {'aut_label': '8B1', 'centralizer': '3.a1.a1', 'counter': 17, 'group_counter': 49, 'group_order': 816, 'label': '8B3', 'order': 8, 'powers': [7, 15, 17], 'representative': 375, 'size': 3}
  • id: 140998334
    {'aut_label': '8B1', 'centralizer': '3.a1.a1', 'counter': 18, 'group_counter': 49, 'group_order': 816, 'label': '8B-3', 'order': 8, 'powers': [6, 16, 18], 'representative': 171, 'size': 3}
  • id: 140998345
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 49, 'group_order': 816, 'label': '12A1', 'order': 12, 'powers': [10, 7, 19], 'representative': 68, 'size': 2}
  • id: 140998357
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 49, 'group_order': 816, 'label': '12A-1', 'order': 12, 'powers': [10, 6, 20], 'representative': 748, 'size': 2}
  • id: 140998368
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 49, 'group_order': 816, 'label': '17A1', 'order': 17, 'powers': [23, 25, 1], 'representative': 96, 'size': 1}
  • id: 140998379
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 49, 'group_order': 816, 'label': '17A-1', 'order': 17, 'powers': [24, 26, 1], 'representative': 720, 'size': 1}
  • id: 140998390
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 49, 'group_order': 816, 'label': '17A2', 'order': 17, 'powers': [27, 31, 1], 'representative': 192, 'size': 1}
  • id: 140998401
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 49, 'group_order': 816, 'label': '17A-2', 'order': 17, 'powers': [28, 32, 1], 'representative': 624, 'size': 1}
  • id: 140998412
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 49, 'group_order': 816, 'label': '17A3', 'order': 17, 'powers': [31, 36, 1], 'representative': 288, 'size': 1}
  • id: 140998423
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 49, 'group_order': 816, 'label': '17A-3', 'order': 17, 'powers': [32, 35, 1], 'representative': 528, 'size': 1}
  • id: 140998434
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 49, 'group_order': 816, 'label': '17A4', 'order': 17, 'powers': [35, 30, 1], 'representative': 384, 'size': 1}
  • id: 140998445
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 49, 'group_order': 816, 'label': '17A-4', 'order': 17, 'powers': [36, 29, 1], 'representative': 432, 'size': 1}
  • id: 140998456
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 49, 'group_order': 816, 'label': '17A5', 'order': 17, 'powers': [34, 24, 1], 'representative': 480, 'size': 1}
  • id: 140998468
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 49, 'group_order': 816, 'label': '17A-5', 'order': 17, 'powers': [33, 23, 1], 'representative': 336, 'size': 1}
  • id: 140998479
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 49, 'group_order': 816, 'label': '17A6', 'order': 17, 'powers': [30, 21, 1], 'representative': 576, 'size': 1}
  • id: 140998490
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 49, 'group_order': 816, 'label': '17A-6', 'order': 17, 'powers': [29, 22, 1], 'representative': 240, 'size': 1}
  • id: 140998501
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 49, 'group_order': 816, 'label': '17A7', 'order': 17, 'powers': [26, 27, 1], 'representative': 672, 'size': 1}
  • id: 140998512
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 49, 'group_order': 816, 'label': '17A-7', 'order': 17, 'powers': [25, 28, 1], 'representative': 144, 'size': 1}
  • id: 140998523
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 49, 'group_order': 816, 'label': '17A8', 'order': 17, 'powers': [22, 33, 1], 'representative': 768, 'size': 1}
  • id: 140998534
    {'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 49, 'group_order': 816, 'label': '17A-8', 'order': 17, 'powers': [21, 34, 1], 'representative': 48, 'size': 1}
  • id: 140998545
    {'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 49, 'group_order': 816, 'label': '24A1', 'order': 24, 'powers': [19, 11, 37], 'representative': 34, 'size': 2}
  • id: 140998556
    {'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 49, 'group_order': 816, 'label': '24A-1', 'order': 24, 'powers': [20, 12, 38], 'representative': 782, 'size': 2}
  • id: 140998567
    {'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 49, 'group_order': 816, 'label': '24A5', 'order': 24, 'powers': [19, 14, 39], 'representative': 170, 'size': 2}
  • id: 140998579
    {'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 49, 'group_order': 816, 'label': '24A-5', 'order': 24, 'powers': [20, 13, 40], 'representative': 646, 'size': 2}
  • id: 140998589
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 49, 'group_order': 816, 'label': '34A1', 'order': 34, 'powers': [25, 43, 2], 'representative': 552, 'size': 1}
  • id: 140998590
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 49, 'group_order': 816, 'label': '34A-1', 'order': 34, 'powers': [26, 44, 2], 'representative': 264, 'size': 1}
  • id: 140998591
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 49, 'group_order': 816, 'label': '34A3', 'order': 34, 'powers': [36, 49, 2], 'representative': 24, 'size': 1}
  • id: 140998592
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 49, 'group_order': 816, 'label': '34A-3', 'order': 34, 'powers': [35, 50, 2], 'representative': 792, 'size': 1}
  • id: 140998593
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 49, 'group_order': 816, 'label': '34A5', 'order': 34, 'powers': [24, 55, 2], 'representative': 312, 'size': 1}
  • id: 140998594
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 49, 'group_order': 816, 'label': '34A-5', 'order': 34, 'powers': [23, 56, 2], 'representative': 504, 'size': 1}
  • id: 140998595
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 49, 'group_order': 816, 'label': '34A7', 'order': 34, 'powers': [27, 54, 2], 'representative': 600, 'size': 1}
  • id: 140998596
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 49, 'group_order': 816, 'label': '34A-7', 'order': 34, 'powers': [28, 53, 2], 'representative': 216, 'size': 1}
  • id: 140998597
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 49, 'group_order': 816, 'label': '34A9', 'order': 34, 'powers': [34, 48, 2], 'representative': 72, 'size': 1}
  • id: 140998599
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 49, 'group_order': 816, 'label': '34A-9', 'order': 34, 'powers': [33, 47, 2], 'representative': 744, 'size': 1}
  • id: 140998600
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 49, 'group_order': 816, 'label': '34A11', 'order': 34, 'powers': [22, 42, 2], 'representative': 360, 'size': 1}
  • id: 140998601
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 49, 'group_order': 816, 'label': '34A-11', 'order': 34, 'powers': [21, 41, 2], 'representative': 456, 'size': 1}
  • id: 140998602
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 49, 'group_order': 816, 'label': '34A13', 'order': 34, 'powers': [29, 45, 2], 'representative': 648, 'size': 1}
  • id: 140998603
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 49, 'group_order': 816, 'label': '34A-13', 'order': 34, 'powers': [30, 46, 2], 'representative': 168, 'size': 1}
  • id: 140998604
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 49, 'group_order': 816, 'label': '34A15', 'order': 34, 'powers': [32, 51, 2], 'representative': 120, 'size': 1}
  • id: 140998605
    {'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 49, 'group_order': 816, 'label': '34A-15', 'order': 34, 'powers': [31, 52, 2], 'representative': 696, 'size': 1}
  • id: 140998606
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 57, 'group_counter': 49, 'group_order': 816, 'label': '34B1', 'order': 34, 'powers': [21, 59, 3], 'representative': 49, 'size': 3}
  • id: 140998607
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 58, 'group_counter': 49, 'group_order': 816, 'label': '34B-1', 'order': 34, 'powers': [22, 60, 3], 'representative': 769, 'size': 3}
  • id: 140998608
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 59, 'group_counter': 49, 'group_order': 816, 'label': '34B3', 'order': 34, 'powers': [25, 65, 3], 'representative': 145, 'size': 3}
  • id: 140998610
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 60, 'group_counter': 49, 'group_order': 816, 'label': '34B-3', 'order': 34, 'powers': [26, 66, 3], 'representative': 673, 'size': 3}
  • id: 140998611
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 61, 'group_counter': 49, 'group_order': 816, 'label': '34B5', 'order': 34, 'powers': [29, 71, 3], 'representative': 241, 'size': 3}
  • id: 140998612
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 62, 'group_counter': 49, 'group_order': 816, 'label': '34B-5', 'order': 34, 'powers': [30, 72, 3], 'representative': 33, 'size': 3}
  • id: 140998613
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 63, 'group_counter': 49, 'group_order': 816, 'label': '34B7', 'order': 34, 'powers': [33, 70, 3], 'representative': 337, 'size': 3}
  • id: 140998614
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 64, 'group_counter': 49, 'group_order': 816, 'label': '34B-7', 'order': 34, 'powers': [34, 69, 3], 'representative': 481, 'size': 3}
  • id: 140998615
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 65, 'group_counter': 49, 'group_order': 816, 'label': '34B9', 'order': 34, 'powers': [36, 64, 3], 'representative': 433, 'size': 3}
  • id: 140998616
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 66, 'group_counter': 49, 'group_order': 816, 'label': '34B-9', 'order': 34, 'powers': [35, 63, 3], 'representative': 385, 'size': 3}
  • id: 140998617
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 67, 'group_counter': 49, 'group_order': 816, 'label': '34B11', 'order': 34, 'powers': [32, 58, 3], 'representative': 529, 'size': 3}
  • id: 140998618
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 68, 'group_counter': 49, 'group_order': 816, 'label': '34B-11', 'order': 34, 'powers': [31, 57, 3], 'representative': 17, 'size': 3}
  • id: 140998619
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 69, 'group_counter': 49, 'group_order': 816, 'label': '34B13', 'order': 34, 'powers': [28, 61, 3], 'representative': 625, 'size': 3}
  • id: 140998621
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 70, 'group_counter': 49, 'group_order': 816, 'label': '34B-13', 'order': 34, 'powers': [27, 62, 3], 'representative': 193, 'size': 3}
  • id: 140998622
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 71, 'group_counter': 49, 'group_order': 816, 'label': '34B15', 'order': 34, 'powers': [24, 67, 3], 'representative': 721, 'size': 3}
  • id: 140998623
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 72, 'group_counter': 49, 'group_order': 816, 'label': '34B-15', 'order': 34, 'powers': [23, 68, 3], 'representative': 97, 'size': 3}
  • id: 140998624
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 73, 'group_counter': 49, 'group_order': 816, 'label': '34C1', 'order': 34, 'powers': [25, 75, 4], 'representative': 9, 'size': 3}
  • id: 140998625
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 74, 'group_counter': 49, 'group_order': 816, 'label': '34C-1', 'order': 34, 'powers': [26, 76, 4], 'representative': 537, 'size': 3}
  • id: 140998626
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 75, 'group_counter': 49, 'group_order': 816, 'label': '34C3', 'order': 34, 'powers': [36, 81, 4], 'representative': 25, 'size': 3}
  • id: 140998627
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 76, 'group_counter': 49, 'group_order': 816, 'label': '34C-3', 'order': 34, 'powers': [35, 82, 4], 'representative': 249, 'size': 3}
  • id: 140998628
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 77, 'group_counter': 49, 'group_order': 816, 'label': '34C5', 'order': 34, 'powers': [24, 87, 4], 'representative': 41, 'size': 3}
  • id: 140998629
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 78, 'group_counter': 49, 'group_order': 816, 'label': '34C-5', 'order': 34, 'powers': [23, 88, 4], 'representative': 777, 'size': 3}
  • id: 140998630
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 79, 'group_counter': 49, 'group_order': 816, 'label': '34C7', 'order': 34, 'powers': [27, 86, 4], 'representative': 57, 'size': 3}
  • id: 140998632
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 80, 'group_counter': 49, 'group_order': 816, 'label': '34C-7', 'order': 34, 'powers': [28, 85, 4], 'representative': 489, 'size': 3}
  • id: 140998633
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 81, 'group_counter': 49, 'group_order': 816, 'label': '34C9', 'order': 34, 'powers': [34, 80, 4], 'representative': 345, 'size': 3}
  • id: 140998634
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 82, 'group_counter': 49, 'group_order': 816, 'label': '34C-9', 'order': 34, 'powers': [33, 79, 4], 'representative': 201, 'size': 3}
  • id: 140998635
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 83, 'group_counter': 49, 'group_order': 816, 'label': '34C11', 'order': 34, 'powers': [22, 74, 4], 'representative': 633, 'size': 3}
  • id: 140998636
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 84, 'group_counter': 49, 'group_order': 816, 'label': '34C-11', 'order': 34, 'powers': [21, 73, 4], 'representative': 729, 'size': 3}
  • id: 140998637
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 85, 'group_counter': 49, 'group_order': 816, 'label': '34C13', 'order': 34, 'powers': [29, 77, 4], 'representative': 105, 'size': 3}
  • id: 140998638
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 86, 'group_counter': 49, 'group_order': 816, 'label': '34C-13', 'order': 34, 'powers': [30, 78, 4], 'representative': 441, 'size': 3}
  • id: 140998639
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 87, 'group_counter': 49, 'group_order': 816, 'label': '34C15', 'order': 34, 'powers': [32, 83, 4], 'representative': 393, 'size': 3}
  • id: 140998640
    {'aut_label': '34B1', 'centralizer': '3.a1.a1', 'counter': 88, 'group_counter': 49, 'group_order': 816, 'label': '34C-15', 'order': 34, 'powers': [31, 84, 4], 'representative': 153, 'size': 3}
  • id: 140998641
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 49, 'group_order': 816, 'label': '51A1', 'order': 51, 'powers': [91, 36, 5], 'representative': 16, 'size': 2}
  • id: 140998643
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 49, 'group_order': 816, 'label': '51A-1', 'order': 51, 'powers': [92, 35, 5], 'representative': 800, 'size': 2}
  • id: 140998644
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 49, 'group_order': 816, 'label': '51A2', 'order': 51, 'powers': [93, 21, 5], 'representative': 32, 'size': 2}
  • id: 140998645
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 49, 'group_order': 816, 'label': '51A-2', 'order': 51, 'powers': [94, 22, 5], 'representative': 784, 'size': 2}
  • id: 140998646
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 49, 'group_order': 816, 'label': '51A4', 'order': 51, 'powers': [99, 23, 5], 'representative': 64, 'size': 2}
  • id: 140998647
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 49, 'group_order': 816, 'label': '51A-4', 'order': 51, 'powers': [100, 24, 5], 'representative': 752, 'size': 2}
  • id: 140998648
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 49, 'group_order': 816, 'label': '51A5', 'order': 51, 'powers': [98, 32, 5], 'representative': 80, 'size': 2}
  • id: 140998649
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 49, 'group_order': 816, 'label': '51A-5', 'order': 51, 'powers': [97, 31, 5], 'representative': 736, 'size': 2}
  • id: 140998650
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 49, 'group_order': 816, 'label': '51A7', 'order': 51, 'powers': [103, 30, 5], 'representative': 112, 'size': 2}
  • id: 140998651
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 49, 'group_order': 816, 'label': '51A-7', 'order': 51, 'powers': [104, 29, 5], 'representative': 704, 'size': 2}
  • id: 140998652
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 49, 'group_order': 816, 'label': '51A8', 'order': 51, 'powers': [90, 27, 5], 'representative': 128, 'size': 2}
  • id: 140998247
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 49, 'group_order': 816, 'label': '51A-8', 'order': 51, 'powers': [89, 28, 5], 'representative': 688, 'size': 2}
  • id: 140998248
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 49, 'group_order': 816, 'label': '51A11', 'order': 51, 'powers': [95, 26, 5], 'representative': 176, 'size': 2}
  • id: 140998249
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 49, 'group_order': 816, 'label': '51A-11', 'order': 51, 'powers': [96, 25, 5], 'representative': 640, 'size': 2}
  • id: 140998250
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 103, 'group_counter': 49, 'group_order': 816, 'label': '51A14', 'order': 51, 'powers': [101, 33, 5], 'representative': 224, 'size': 2}
  • id: 140998251
    {'aut_label': '51A1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 49, 'group_order': 816, 'label': '51A-14', 'order': 51, 'powers': [102, 34, 5], 'representative': 592, 'size': 2}
  • id: 140998252
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 49, 'group_order': 816, 'label': '68A1', 'order': 68, 'powers': [41, 107, 6], 'representative': 276, 'size': 1}
  • id: 140998253
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 49, 'group_order': 816, 'label': '68A-1', 'order': 68, 'powers': [42, 108, 7], 'representative': 540, 'size': 1}
  • id: 140998254
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 49, 'group_order': 816, 'label': '68A3', 'order': 68, 'powers': [43, 113, 7], 'representative': 12, 'size': 1}
  • id: 140998255
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 49, 'group_order': 816, 'label': '68A-3', 'order': 68, 'powers': [44, 114, 6], 'representative': 804, 'size': 1}
  • id: 140998256
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 49, 'group_order': 816, 'label': '68A5', 'order': 68, 'powers': [45, 119, 6], 'representative': 564, 'size': 1}
  • id: 140998258
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 49, 'group_order': 816, 'label': '68A-5', 'order': 68, 'powers': [46, 120, 7], 'representative': 252, 'size': 1}
  • id: 140998259
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 49, 'group_order': 816, 'label': '68A7', 'order': 68, 'powers': [47, 123, 7], 'representative': 300, 'size': 1}
  • id: 140998260
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 49, 'group_order': 816, 'label': '68A-7', 'order': 68, 'powers': [48, 124, 6], 'representative': 516, 'size': 1}
  • id: 140998261
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 49, 'group_order': 816, 'label': '68A9', 'order': 68, 'powers': [49, 129, 6], 'representative': 36, 'size': 1}
  • id: 140998262
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 49, 'group_order': 816, 'label': '68A-9', 'order': 68, 'powers': [50, 130, 7], 'representative': 780, 'size': 1}
  • id: 140998263
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 49, 'group_order': 816, 'label': '68A11', 'order': 68, 'powers': [51, 135, 7], 'representative': 588, 'size': 1}
  • id: 140998264
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 49, 'group_order': 816, 'label': '68A-11', 'order': 68, 'powers': [52, 136, 6], 'representative': 228, 'size': 1}
  • id: 140998265
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 49, 'group_order': 816, 'label': '68A13', 'order': 68, 'powers': [53, 132, 6], 'representative': 324, 'size': 1}
  • id: 140998266
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 49, 'group_order': 816, 'label': '68A-13', 'order': 68, 'powers': [54, 131, 7], 'representative': 492, 'size': 1}
  • id: 140998267
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 49, 'group_order': 816, 'label': '68A15', 'order': 68, 'powers': [55, 126, 7], 'representative': 60, 'size': 1}
  • id: 140998269
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 49, 'group_order': 816, 'label': '68A-15', 'order': 68, 'powers': [56, 125, 6], 'representative': 756, 'size': 1}
  • id: 140998270
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 49, 'group_order': 816, 'label': '68A19', 'order': 68, 'powers': [56, 116, 7], 'representative': 348, 'size': 1}
  • id: 140998271
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 49, 'group_order': 816, 'label': '68A-19', 'order': 68, 'powers': [55, 115, 6], 'representative': 468, 'size': 1}
  • id: 140998272
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 49, 'group_order': 816, 'label': '68A21', 'order': 68, 'powers': [54, 110, 6], 'representative': 84, 'size': 1}
  • id: 140998273
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 49, 'group_order': 816, 'label': '68A-21', 'order': 68, 'powers': [53, 109, 7], 'representative': 732, 'size': 1}
  • id: 140998274
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 49, 'group_order': 816, 'label': '68A23', 'order': 68, 'powers': [52, 105, 7], 'representative': 636, 'size': 1}
  • id: 140998275
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 49, 'group_order': 816, 'label': '68A-23', 'order': 68, 'powers': [51, 106, 6], 'representative': 180, 'size': 1}
  • id: 140998276
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 49, 'group_order': 816, 'label': '68A25', 'order': 68, 'powers': [50, 111, 6], 'representative': 372, 'size': 1}
  • id: 140998277
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 49, 'group_order': 816, 'label': '68A-25', 'order': 68, 'powers': [49, 112, 7], 'representative': 444, 'size': 1}
  • id: 140998278
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 49, 'group_order': 816, 'label': '68A27', 'order': 68, 'powers': [48, 117, 7], 'representative': 108, 'size': 1}
  • id: 140998280
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 49, 'group_order': 816, 'label': '68A-27', 'order': 68, 'powers': [47, 118, 6], 'representative': 708, 'size': 1}
  • id: 140998281
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 49, 'group_order': 816, 'label': '68A29', 'order': 68, 'powers': [46, 121, 6], 'representative': 660, 'size': 1}
  • id: 140998282
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 49, 'group_order': 816, 'label': '68A-29', 'order': 68, 'powers': [45, 122, 7], 'representative': 156, 'size': 1}
  • id: 140998283
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 49, 'group_order': 816, 'label': '68A31', 'order': 68, 'powers': [44, 127, 7], 'representative': 396, 'size': 1}
  • id: 140998284
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 49, 'group_order': 816, 'label': '68A-31', 'order': 68, 'powers': [43, 128, 6], 'representative': 420, 'size': 1}
  • id: 140998285
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 49, 'group_order': 816, 'label': '68A33', 'order': 68, 'powers': [42, 133, 6], 'representative': 132, 'size': 1}
  • id: 140998286
    {'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 49, 'group_order': 816, 'label': '68A-33', 'order': 68, 'powers': [41, 134, 7], 'representative': 684, 'size': 1}
  • id: 140998287
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 137, 'group_counter': 49, 'group_order': 816, 'label': '68B1', 'order': 68, 'powers': [41, 139, 8], 'representative': 5, 'size': 3}
  • id: 140998288
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 138, 'group_counter': 49, 'group_order': 816, 'label': '68B-1', 'order': 68, 'powers': [42, 140, 9], 'representative': 541, 'size': 3}
  • id: 140998289
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 139, 'group_counter': 49, 'group_order': 816, 'label': '68B3', 'order': 68, 'powers': [43, 145, 9], 'representative': 13, 'size': 3}
  • id: 140998291
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 140, 'group_counter': 49, 'group_order': 816, 'label': '68B-3', 'order': 68, 'powers': [44, 146, 8], 'representative': 533, 'size': 3}
  • id: 140998292
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 141, 'group_counter': 49, 'group_order': 816, 'label': '68B5', 'order': 68, 'powers': [45, 151, 8], 'representative': 21, 'size': 3}
  • id: 140998293
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 142, 'group_counter': 49, 'group_order': 816, 'label': '68B-5', 'order': 68, 'powers': [46, 152, 9], 'representative': 253, 'size': 3}
  • id: 140998294
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 143, 'group_counter': 49, 'group_order': 816, 'label': '68B7', 'order': 68, 'powers': [47, 155, 9], 'representative': 29, 'size': 3}
  • id: 140998295
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 144, 'group_counter': 49, 'group_order': 816, 'label': '68B-7', 'order': 68, 'powers': [48, 156, 8], 'representative': 245, 'size': 3}
  • id: 140998296
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 145, 'group_counter': 49, 'group_order': 816, 'label': '68B9', 'order': 68, 'powers': [49, 161, 8], 'representative': 37, 'size': 3}
  • id: 140998297
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 146, 'group_counter': 49, 'group_order': 816, 'label': '68B-9', 'order': 68, 'powers': [50, 162, 9], 'representative': 781, 'size': 3}
  • id: 140998298
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 147, 'group_counter': 49, 'group_order': 816, 'label': '68B11', 'order': 68, 'powers': [51, 167, 9], 'representative': 45, 'size': 3}
  • id: 140998299
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 148, 'group_counter': 49, 'group_order': 816, 'label': '68B-11', 'order': 68, 'powers': [52, 168, 8], 'representative': 773, 'size': 3}
  • id: 140998300
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 149, 'group_counter': 49, 'group_order': 816, 'label': '68B13', 'order': 68, 'powers': [53, 164, 8], 'representative': 53, 'size': 3}
  • id: 140998302
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 150, 'group_counter': 49, 'group_order': 816, 'label': '68B-13', 'order': 68, 'powers': [54, 163, 9], 'representative': 493, 'size': 3}
  • id: 140998303
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 151, 'group_counter': 49, 'group_order': 816, 'label': '68B15', 'order': 68, 'powers': [55, 158, 9], 'representative': 61, 'size': 3}
  • id: 140998304
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 152, 'group_counter': 49, 'group_order': 816, 'label': '68B-15', 'order': 68, 'powers': [56, 157, 8], 'representative': 485, 'size': 3}
  • id: 140998305
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 153, 'group_counter': 49, 'group_order': 816, 'label': '68B19', 'order': 68, 'powers': [56, 148, 9], 'representative': 349, 'size': 3}
  • id: 140998306
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 154, 'group_counter': 49, 'group_order': 816, 'label': '68B-19', 'order': 68, 'powers': [55, 147, 8], 'representative': 197, 'size': 3}
  • id: 140998307
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 155, 'group_counter': 49, 'group_order': 816, 'label': '68B21', 'order': 68, 'powers': [54, 142, 8], 'representative': 629, 'size': 3}
  • id: 140998308
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 156, 'group_counter': 49, 'group_order': 816, 'label': '68B-21', 'order': 68, 'powers': [53, 141, 9], 'representative': 733, 'size': 3}
  • id: 140998309
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 157, 'group_counter': 49, 'group_order': 816, 'label': '68B23', 'order': 68, 'powers': [52, 137, 9], 'representative': 637, 'size': 3}
  • id: 140998310
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 158, 'group_counter': 49, 'group_order': 816, 'label': '68B-23', 'order': 68, 'powers': [51, 138, 8], 'representative': 725, 'size': 3}
  • id: 140998311
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 159, 'group_counter': 49, 'group_order': 816, 'label': '68B25', 'order': 68, 'powers': [50, 143, 8], 'representative': 101, 'size': 3}
  • id: 140998313
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 160, 'group_counter': 49, 'group_order': 816, 'label': '68B-25', 'order': 68, 'powers': [49, 144, 9], 'representative': 445, 'size': 3}
  • id: 140998314
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 161, 'group_counter': 49, 'group_order': 816, 'label': '68B27', 'order': 68, 'powers': [48, 149, 9], 'representative': 109, 'size': 3}
  • id: 140998315
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 162, 'group_counter': 49, 'group_order': 816, 'label': '68B-27', 'order': 68, 'powers': [47, 150, 8], 'representative': 437, 'size': 3}
  • id: 140998316
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 163, 'group_counter': 49, 'group_order': 816, 'label': '68B29', 'order': 68, 'powers': [46, 153, 8], 'representative': 389, 'size': 3}
  • id: 140998317
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 164, 'group_counter': 49, 'group_order': 816, 'label': '68B-29', 'order': 68, 'powers': [45, 154, 9], 'representative': 157, 'size': 3}
  • id: 140998318
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 165, 'group_counter': 49, 'group_order': 816, 'label': '68B31', 'order': 68, 'powers': [44, 159, 9], 'representative': 397, 'size': 3}
  • id: 140998319
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 166, 'group_counter': 49, 'group_order': 816, 'label': '68B-31', 'order': 68, 'powers': [43, 160, 8], 'representative': 149, 'size': 3}
  • id: 140998320
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 167, 'group_counter': 49, 'group_order': 816, 'label': '68B33', 'order': 68, 'powers': [42, 165, 8], 'representative': 677, 'size': 3}
  • id: 140998321
    {'aut_label': '68B1', 'centralizer': '3.a1.a1', 'counter': 168, 'group_counter': 49, 'group_order': 816, 'label': '68B-33', 'order': 68, 'powers': [41, 166, 9], 'representative': 685, 'size': 3}
  • id: 140998322
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 169, 'group_counter': 49, 'group_order': 816, 'label': '102A1', 'order': 102, 'powers': [89, 43, 10], 'representative': 8, 'size': 2}
  • id: 140998324
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 170, 'group_counter': 49, 'group_order': 816, 'label': '102A-1', 'order': 102, 'powers': [90, 44, 10], 'representative': 808, 'size': 2}
  • id: 140998325
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 171, 'group_counter': 49, 'group_order': 816, 'label': '102A5', 'order': 102, 'powers': [95, 55, 10], 'representative': 40, 'size': 2}
  • id: 140998326
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 172, 'group_counter': 49, 'group_order': 816, 'label': '102A-5', 'order': 102, 'powers': [96, 56, 10], 'representative': 776, 'size': 2}
  • id: 140998327
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 173, 'group_counter': 49, 'group_order': 816, 'label': '102A7', 'order': 102, 'powers': [97, 54, 10], 'representative': 56, 'size': 2}
  • id: 140998328
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 174, 'group_counter': 49, 'group_order': 816, 'label': '102A-7', 'order': 102, 'powers': [98, 53, 10], 'representative': 760, 'size': 2}
  • id: 140998329
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 175, 'group_counter': 49, 'group_order': 816, 'label': '102A11', 'order': 102, 'powers': [101, 42, 10], 'representative': 88, 'size': 2}
  • id: 140998330
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 176, 'group_counter': 49, 'group_order': 816, 'label': '102A-11', 'order': 102, 'powers': [102, 41, 10], 'representative': 728, 'size': 2}
  • id: 140998331
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 177, 'group_counter': 49, 'group_order': 816, 'label': '102A13', 'order': 102, 'powers': [94, 45, 10], 'representative': 104, 'size': 2}
  • id: 140998332
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 178, 'group_counter': 49, 'group_order': 816, 'label': '102A-13', 'order': 102, 'powers': [93, 46, 10], 'representative': 712, 'size': 2}
  • id: 140998333
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 179, 'group_counter': 49, 'group_order': 816, 'label': '102A19', 'order': 102, 'powers': [91, 52, 10], 'representative': 152, 'size': 2}
  • id: 140998335
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 180, 'group_counter': 49, 'group_order': 816, 'label': '102A-19', 'order': 102, 'powers': [92, 51, 10], 'representative': 664, 'size': 2}
  • id: 140998336
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 181, 'group_counter': 49, 'group_order': 816, 'label': '102A25', 'order': 102, 'powers': [99, 47, 10], 'representative': 200, 'size': 2}
  • id: 140998337
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 182, 'group_counter': 49, 'group_order': 816, 'label': '102A-25', 'order': 102, 'powers': [100, 48, 10], 'representative': 616, 'size': 2}
  • id: 140998338
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 183, 'group_counter': 49, 'group_order': 816, 'label': '102A31', 'order': 102, 'powers': [103, 50, 10], 'representative': 248, 'size': 2}
  • id: 140998339
    {'aut_label': '102A1', 'centralizer': '2.b1.a1', 'counter': 184, 'group_counter': 49, 'group_order': 816, 'label': '102A-31', 'order': 102, 'powers': [104, 49, 10], 'representative': 568, 'size': 2}
  • id: 140998340
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 185, 'group_counter': 49, 'group_order': 816, 'label': '136A1', 'order': 136, 'powers': [107, 187, 11], 'representative': 6, 'size': 1}
  • id: 140998341
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 186, 'group_counter': 49, 'group_order': 816, 'label': '136A-1', 'order': 136, 'powers': [108, 188, 12], 'representative': 810, 'size': 1}
  • id: 140998342
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 187, 'group_counter': 49, 'group_order': 816, 'label': '136A3', 'order': 136, 'powers': [113, 193, 13], 'representative': 18, 'size': 1}
  • id: 140998343
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 188, 'group_counter': 49, 'group_order': 816, 'label': '136A-3', 'order': 136, 'powers': [114, 194, 14], 'representative': 798, 'size': 1}
  • id: 140998344
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 189, 'group_counter': 49, 'group_order': 816, 'label': '136A5', 'order': 136, 'powers': [119, 199, 14], 'representative': 30, 'size': 1}
  • id: 140998346
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 190, 'group_counter': 49, 'group_order': 816, 'label': '136A-5', 'order': 136, 'powers': [120, 200, 13], 'representative': 786, 'size': 1}
  • id: 140998347
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 191, 'group_counter': 49, 'group_order': 816, 'label': '136A7', 'order': 136, 'powers': [123, 203, 12], 'representative': 42, 'size': 1}
  • id: 140998348
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 192, 'group_counter': 49, 'group_order': 816, 'label': '136A-7', 'order': 136, 'powers': [124, 204, 11], 'representative': 774, 'size': 1}
  • id: 140998349
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 193, 'group_counter': 49, 'group_order': 816, 'label': '136A9', 'order': 136, 'powers': [129, 209, 11], 'representative': 54, 'size': 1}
  • id: 140998350
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 194, 'group_counter': 49, 'group_order': 816, 'label': '136A-9', 'order': 136, 'powers': [130, 210, 12], 'representative': 762, 'size': 1}
  • id: 140998351
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 195, 'group_counter': 49, 'group_order': 816, 'label': '136A11', 'order': 136, 'powers': [135, 215, 13], 'representative': 66, 'size': 1}
  • id: 140998352
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 196, 'group_counter': 49, 'group_order': 816, 'label': '136A-11', 'order': 136, 'powers': [136, 216, 14], 'representative': 750, 'size': 1}
  • id: 140998353
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 197, 'group_counter': 49, 'group_order': 816, 'label': '136A13', 'order': 136, 'powers': [132, 221, 14], 'representative': 78, 'size': 1}
  • id: 140998354
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 198, 'group_counter': 49, 'group_order': 816, 'label': '136A-13', 'order': 136, 'powers': [131, 222, 13], 'representative': 738, 'size': 1}
  • id: 140998355
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 199, 'group_counter': 49, 'group_order': 816, 'label': '136A15', 'order': 136, 'powers': [126, 227, 12], 'representative': 90, 'size': 1}
  • id: 140998358
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 200, 'group_counter': 49, 'group_order': 816, 'label': '136A-15', 'order': 136, 'powers': [125, 228, 11], 'representative': 726, 'size': 1}
  • id: 140998359
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 201, 'group_counter': 49, 'group_order': 816, 'label': '136A19', 'order': 136, 'powers': [116, 237, 13], 'representative': 114, 'size': 1}
  • id: 140998360
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 202, 'group_counter': 49, 'group_order': 816, 'label': '136A-19', 'order': 136, 'powers': [115, 238, 14], 'representative': 702, 'size': 1}
  • id: 140998361
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 203, 'group_counter': 49, 'group_order': 816, 'label': '136A21', 'order': 136, 'powers': [110, 243, 14], 'representative': 126, 'size': 1}
  • id: 140998362
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 204, 'group_counter': 49, 'group_order': 816, 'label': '136A-21', 'order': 136, 'powers': [109, 244, 13], 'representative': 690, 'size': 1}
  • id: 140998363
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 205, 'group_counter': 49, 'group_order': 816, 'label': '136A23', 'order': 136, 'powers': [105, 248, 12], 'representative': 138, 'size': 1}
  • id: 140998364
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 206, 'group_counter': 49, 'group_order': 816, 'label': '136A-23', 'order': 136, 'powers': [106, 247, 11], 'representative': 678, 'size': 1}
  • id: 140998365
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 207, 'group_counter': 49, 'group_order': 816, 'label': '136A25', 'order': 136, 'powers': [111, 242, 11], 'representative': 150, 'size': 1}
  • id: 140998366
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 208, 'group_counter': 49, 'group_order': 816, 'label': '136A-25', 'order': 136, 'powers': [112, 241, 12], 'representative': 666, 'size': 1}
  • id: 140998367
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 209, 'group_counter': 49, 'group_order': 816, 'label': '136A27', 'order': 136, 'powers': [117, 236, 13], 'representative': 162, 'size': 1}
  • id: 140998369
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 210, 'group_counter': 49, 'group_order': 816, 'label': '136A-27', 'order': 136, 'powers': [118, 235, 14], 'representative': 654, 'size': 1}
  • id: 140998370
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 211, 'group_counter': 49, 'group_order': 816, 'label': '136A29', 'order': 136, 'powers': [121, 232, 14], 'representative': 174, 'size': 1}
  • id: 140998371
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 212, 'group_counter': 49, 'group_order': 816, 'label': '136A-29', 'order': 136, 'powers': [122, 231, 13], 'representative': 642, 'size': 1}
  • id: 140998372
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 213, 'group_counter': 49, 'group_order': 816, 'label': '136A31', 'order': 136, 'powers': [127, 226, 12], 'representative': 186, 'size': 1}
  • id: 140998373
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 214, 'group_counter': 49, 'group_order': 816, 'label': '136A-31', 'order': 136, 'powers': [128, 225, 11], 'representative': 630, 'size': 1}
  • id: 140998374
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 215, 'group_counter': 49, 'group_order': 816, 'label': '136A33', 'order': 136, 'powers': [133, 220, 11], 'representative': 198, 'size': 1}
  • id: 140998375
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 216, 'group_counter': 49, 'group_order': 816, 'label': '136A-33', 'order': 136, 'powers': [134, 219, 12], 'representative': 618, 'size': 1}
  • id: 140998376
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 217, 'group_counter': 49, 'group_order': 816, 'label': '136A35', 'order': 136, 'powers': [134, 214, 13], 'representative': 210, 'size': 1}
  • id: 140998377
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 218, 'group_counter': 49, 'group_order': 816, 'label': '136A-35', 'order': 136, 'powers': [133, 213, 14], 'representative': 606, 'size': 1}
  • id: 140998378
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 219, 'group_counter': 49, 'group_order': 816, 'label': '136A37', 'order': 136, 'powers': [128, 208, 14], 'representative': 222, 'size': 1}
  • id: 140998380
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 220, 'group_counter': 49, 'group_order': 816, 'label': '136A-37', 'order': 136, 'powers': [127, 207, 13], 'representative': 594, 'size': 1}
  • id: 140998381
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 221, 'group_counter': 49, 'group_order': 816, 'label': '136A39', 'order': 136, 'powers': [122, 202, 12], 'representative': 234, 'size': 1}
  • id: 140998382
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 222, 'group_counter': 49, 'group_order': 816, 'label': '136A-39', 'order': 136, 'powers': [121, 201, 11], 'representative': 582, 'size': 1}
  • id: 140998383
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 223, 'group_counter': 49, 'group_order': 816, 'label': '136A41', 'order': 136, 'powers': [118, 198, 11], 'representative': 246, 'size': 1}
  • id: 140998384
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 224, 'group_counter': 49, 'group_order': 816, 'label': '136A-41', 'order': 136, 'powers': [117, 197, 12], 'representative': 570, 'size': 1}
  • id: 140998385
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 225, 'group_counter': 49, 'group_order': 816, 'label': '136A43', 'order': 136, 'powers': [112, 192, 13], 'representative': 258, 'size': 1}
  • id: 140998386
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 226, 'group_counter': 49, 'group_order': 816, 'label': '136A-43', 'order': 136, 'powers': [111, 191, 14], 'representative': 558, 'size': 1}
  • id: 140998387
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 227, 'group_counter': 49, 'group_order': 816, 'label': '136A45', 'order': 136, 'powers': [106, 186, 14], 'representative': 270, 'size': 1}
  • id: 140998388
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 228, 'group_counter': 49, 'group_order': 816, 'label': '136A-45', 'order': 136, 'powers': [105, 185, 13], 'representative': 546, 'size': 1}
  • id: 140998389
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 229, 'group_counter': 49, 'group_order': 816, 'label': '136A47', 'order': 136, 'powers': [109, 189, 12], 'representative': 282, 'size': 1}
  • id: 140998391
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 230, 'group_counter': 49, 'group_order': 816, 'label': '136A-47', 'order': 136, 'powers': [110, 190, 11], 'representative': 534, 'size': 1}
  • id: 140998392
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 231, 'group_counter': 49, 'group_order': 816, 'label': '136A49', 'order': 136, 'powers': [115, 195, 11], 'representative': 294, 'size': 1}
  • id: 140998393
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 232, 'group_counter': 49, 'group_order': 816, 'label': '136A-49', 'order': 136, 'powers': [116, 196, 12], 'representative': 522, 'size': 1}
  • id: 140998394
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 233, 'group_counter': 49, 'group_order': 816, 'label': '136A53', 'order': 136, 'powers': [125, 205, 14], 'representative': 318, 'size': 1}
  • id: 140998395
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 234, 'group_counter': 49, 'group_order': 816, 'label': '136A-53', 'order': 136, 'powers': [126, 206, 13], 'representative': 498, 'size': 1}
  • id: 140998396
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 235, 'group_counter': 49, 'group_order': 816, 'label': '136A55', 'order': 136, 'powers': [131, 211, 12], 'representative': 330, 'size': 1}
  • id: 140998397
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 236, 'group_counter': 49, 'group_order': 816, 'label': '136A-55', 'order': 136, 'powers': [132, 212, 11], 'representative': 486, 'size': 1}
  • id: 140998398
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 237, 'group_counter': 49, 'group_order': 816, 'label': '136A57', 'order': 136, 'powers': [136, 217, 11], 'representative': 342, 'size': 1}
  • id: 140998399
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 238, 'group_counter': 49, 'group_order': 816, 'label': '136A-57', 'order': 136, 'powers': [135, 218, 12], 'representative': 474, 'size': 1}
  • id: 140998400
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 239, 'group_counter': 49, 'group_order': 816, 'label': '136A59', 'order': 136, 'powers': [130, 223, 13], 'representative': 354, 'size': 1}
  • id: 140998402
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 240, 'group_counter': 49, 'group_order': 816, 'label': '136A-59', 'order': 136, 'powers': [129, 224, 14], 'representative': 462, 'size': 1}
  • id: 140998403
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 241, 'group_counter': 49, 'group_order': 816, 'label': '136A61', 'order': 136, 'powers': [124, 229, 14], 'representative': 366, 'size': 1}
  • id: 140998404
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 242, 'group_counter': 49, 'group_order': 816, 'label': '136A-61', 'order': 136, 'powers': [123, 230, 13], 'representative': 450, 'size': 1}
  • id: 140998405
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 243, 'group_counter': 49, 'group_order': 816, 'label': '136A63', 'order': 136, 'powers': [120, 233, 12], 'representative': 378, 'size': 1}
  • id: 140998406
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 244, 'group_counter': 49, 'group_order': 816, 'label': '136A-63', 'order': 136, 'powers': [119, 234, 11], 'representative': 438, 'size': 1}
  • id: 140998407
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 245, 'group_counter': 49, 'group_order': 816, 'label': '136A65', 'order': 136, 'powers': [114, 239, 11], 'representative': 390, 'size': 1}
  • id: 140998408
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 246, 'group_counter': 49, 'group_order': 816, 'label': '136A-65', 'order': 136, 'powers': [113, 240, 12], 'representative': 426, 'size': 1}
  • id: 140998409
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 247, 'group_counter': 49, 'group_order': 816, 'label': '136A67', 'order': 136, 'powers': [108, 245, 13], 'representative': 402, 'size': 1}
  • id: 140998410
    {'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 248, 'group_counter': 49, 'group_order': 816, 'label': '136A-67', 'order': 136, 'powers': [107, 246, 14], 'representative': 414, 'size': 1}
  • id: 140998411
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 249, 'group_counter': 49, 'group_order': 816, 'label': '136B1', 'order': 136, 'powers': [105, 251, 15], 'representative': 3, 'size': 3}
  • id: 140998413
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 250, 'group_counter': 49, 'group_order': 816, 'label': '136B-1', 'order': 136, 'powers': [106, 252, 16], 'representative': 543, 'size': 3}
  • id: 140998414
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 251, 'group_counter': 49, 'group_order': 816, 'label': '136B3', 'order': 136, 'powers': [107, 257, 17], 'representative': 7, 'size': 3}
  • id: 140998415
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 252, 'group_counter': 49, 'group_order': 816, 'label': '136B-3', 'order': 136, 'powers': [108, 258, 18], 'representative': 539, 'size': 3}
  • id: 140998416
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 253, 'group_counter': 49, 'group_order': 816, 'label': '136B5', 'order': 136, 'powers': [109, 263, 18], 'representative': 11, 'size': 3}
  • id: 140998417
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 254, 'group_counter': 49, 'group_order': 816, 'label': '136B-5', 'order': 136, 'powers': [110, 264, 17], 'representative': 535, 'size': 3}
  • id: 140998418
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 255, 'group_counter': 49, 'group_order': 816, 'label': '136B7', 'order': 136, 'powers': [111, 267, 16], 'representative': 15, 'size': 3}
  • id: 140998419
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 256, 'group_counter': 49, 'group_order': 816, 'label': '136B-7', 'order': 136, 'powers': [112, 268, 15], 'representative': 531, 'size': 3}
  • id: 140998420
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 257, 'group_counter': 49, 'group_order': 816, 'label': '136B9', 'order': 136, 'powers': [113, 273, 15], 'representative': 19, 'size': 3}
  • id: 140998421
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 258, 'group_counter': 49, 'group_order': 816, 'label': '136B-9', 'order': 136, 'powers': [114, 274, 16], 'representative': 255, 'size': 3}
  • id: 140998422
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 259, 'group_counter': 49, 'group_order': 816, 'label': '136B11', 'order': 136, 'powers': [115, 279, 17], 'representative': 23, 'size': 3}
  • id: 140998424
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 260, 'group_counter': 49, 'group_order': 816, 'label': '136B-11', 'order': 136, 'powers': [116, 280, 18], 'representative': 251, 'size': 3}
  • id: 140998425
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 261, 'group_counter': 49, 'group_order': 816, 'label': '136B13', 'order': 136, 'powers': [117, 285, 18], 'representative': 27, 'size': 3}
  • id: 140998426
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 262, 'group_counter': 49, 'group_order': 816, 'label': '136B-13', 'order': 136, 'powers': [118, 286, 17], 'representative': 247, 'size': 3}
  • id: 140998427
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 263, 'group_counter': 49, 'group_order': 816, 'label': '136B15', 'order': 136, 'powers': [119, 291, 16], 'representative': 31, 'size': 3}
  • id: 140998428
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 264, 'group_counter': 49, 'group_order': 816, 'label': '136B-15', 'order': 136, 'powers': [120, 292, 15], 'representative': 243, 'size': 3}
  • id: 140998429
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 265, 'group_counter': 49, 'group_order': 816, 'label': '136B19', 'order': 136, 'powers': [121, 301, 17], 'representative': 39, 'size': 3}
  • id: 140998430
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 266, 'group_counter': 49, 'group_order': 816, 'label': '136B-19', 'order': 136, 'powers': [122, 302, 18], 'representative': 779, 'size': 3}
  • id: 140998431
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 267, 'group_counter': 49, 'group_order': 816, 'label': '136B21', 'order': 136, 'powers': [123, 307, 18], 'representative': 43, 'size': 3}
  • id: 140998432
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 268, 'group_counter': 49, 'group_order': 816, 'label': '136B-21', 'order': 136, 'powers': [124, 308, 17], 'representative': 775, 'size': 3}
  • id: 140998433
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 269, 'group_counter': 49, 'group_order': 816, 'label': '136B23', 'order': 136, 'powers': [125, 312, 16], 'representative': 47, 'size': 3}
  • id: 140998435
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 270, 'group_counter': 49, 'group_order': 816, 'label': '136B-23', 'order': 136, 'powers': [126, 311, 15], 'representative': 771, 'size': 3}
  • id: 140998436
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 271, 'group_counter': 49, 'group_order': 816, 'label': '136B25', 'order': 136, 'powers': [127, 306, 15], 'representative': 51, 'size': 3}
  • id: 140998437
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 272, 'group_counter': 49, 'group_order': 816, 'label': '136B-25', 'order': 136, 'powers': [128, 305, 16], 'representative': 495, 'size': 3}
  • id: 140998438
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 273, 'group_counter': 49, 'group_order': 816, 'label': '136B27', 'order': 136, 'powers': [129, 300, 17], 'representative': 55, 'size': 3}
  • id: 140998439
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 274, 'group_counter': 49, 'group_order': 816, 'label': '136B-27', 'order': 136, 'powers': [130, 299, 18], 'representative': 491, 'size': 3}
  • id: 140998440
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 275, 'group_counter': 49, 'group_order': 816, 'label': '136B29', 'order': 136, 'powers': [131, 296, 18], 'representative': 59, 'size': 3}
  • id: 140998441
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 276, 'group_counter': 49, 'group_order': 816, 'label': '136B-29', 'order': 136, 'powers': [132, 295, 17], 'representative': 487, 'size': 3}
  • id: 140998442
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 277, 'group_counter': 49, 'group_order': 816, 'label': '136B31', 'order': 136, 'powers': [133, 290, 16], 'representative': 63, 'size': 3}
  • id: 140998443
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 278, 'group_counter': 49, 'group_order': 816, 'label': '136B-31', 'order': 136, 'powers': [134, 289, 15], 'representative': 483, 'size': 3}
  • id: 140998444
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 279, 'group_counter': 49, 'group_order': 816, 'label': '136B33', 'order': 136, 'powers': [135, 284, 15], 'representative': 339, 'size': 3}
  • id: 140998446
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 280, 'group_counter': 49, 'group_order': 816, 'label': '136B-33', 'order': 136, 'powers': [136, 283, 16], 'representative': 207, 'size': 3}
  • id: 140998447
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 281, 'group_counter': 49, 'group_order': 816, 'label': '136B35', 'order': 136, 'powers': [136, 278, 17], 'representative': 343, 'size': 3}
  • id: 140998448
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 282, 'group_counter': 49, 'group_order': 816, 'label': '136B-35', 'order': 136, 'powers': [135, 277, 18], 'representative': 203, 'size': 3}
  • id: 140998449
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 283, 'group_counter': 49, 'group_order': 816, 'label': '136B37', 'order': 136, 'powers': [134, 272, 18], 'representative': 347, 'size': 3}
  • id: 140998450
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 284, 'group_counter': 49, 'group_order': 816, 'label': '136B-37', 'order': 136, 'powers': [133, 271, 17], 'representative': 199, 'size': 3}
  • id: 140998451
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 285, 'group_counter': 49, 'group_order': 816, 'label': '136B39', 'order': 136, 'powers': [132, 266, 16], 'representative': 351, 'size': 3}
  • id: 140998452
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 286, 'group_counter': 49, 'group_order': 816, 'label': '136B-39', 'order': 136, 'powers': [131, 265, 15], 'representative': 195, 'size': 3}
  • id: 140998453
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 287, 'group_counter': 49, 'group_order': 816, 'label': '136B41', 'order': 136, 'powers': [130, 262, 15], 'representative': 627, 'size': 3}
  • id: 140998454
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 288, 'group_counter': 49, 'group_order': 816, 'label': '136B-41', 'order': 136, 'powers': [129, 261, 16], 'representative': 735, 'size': 3}
  • id: 140998455
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 289, 'group_counter': 49, 'group_order': 816, 'label': '136B43', 'order': 136, 'powers': [128, 256, 17], 'representative': 631, 'size': 3}
  • id: 140998457
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 290, 'group_counter': 49, 'group_order': 816, 'label': '136B-43', 'order': 136, 'powers': [127, 255, 18], 'representative': 731, 'size': 3}
  • id: 140998458
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 291, 'group_counter': 49, 'group_order': 816, 'label': '136B45', 'order': 136, 'powers': [126, 250, 18], 'representative': 635, 'size': 3}
  • id: 140998459
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 292, 'group_counter': 49, 'group_order': 816, 'label': '136B-45', 'order': 136, 'powers': [125, 249, 17], 'representative': 727, 'size': 3}
  • id: 140998460
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 293, 'group_counter': 49, 'group_order': 816, 'label': '136B47', 'order': 136, 'powers': [124, 253, 16], 'representative': 639, 'size': 3}
  • id: 140998461
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 294, 'group_counter': 49, 'group_order': 816, 'label': '136B-47', 'order': 136, 'powers': [123, 254, 15], 'representative': 723, 'size': 3}
  • id: 140998462
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 295, 'group_counter': 49, 'group_order': 816, 'label': '136B49', 'order': 136, 'powers': [122, 259, 15], 'representative': 99, 'size': 3}
  • id: 140998463
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 296, 'group_counter': 49, 'group_order': 816, 'label': '136B-49', 'order': 136, 'powers': [121, 260, 16], 'representative': 447, 'size': 3}
  • id: 140998464
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 297, 'group_counter': 49, 'group_order': 816, 'label': '136B53', 'order': 136, 'powers': [120, 269, 18], 'representative': 107, 'size': 3}
  • id: 140998465
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 298, 'group_counter': 49, 'group_order': 816, 'label': '136B-53', 'order': 136, 'powers': [119, 270, 17], 'representative': 439, 'size': 3}
  • id: 140998466
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 299, 'group_counter': 49, 'group_order': 816, 'label': '136B55', 'order': 136, 'powers': [118, 275, 16], 'representative': 111, 'size': 3}
  • id: 140998469
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 300, 'group_counter': 49, 'group_order': 816, 'label': '136B-55', 'order': 136, 'powers': [117, 276, 15], 'representative': 435, 'size': 3}
  • id: 140998470
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 301, 'group_counter': 49, 'group_order': 816, 'label': '136B57', 'order': 136, 'powers': [116, 281, 15], 'representative': 387, 'size': 3}
  • id: 140998471
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 302, 'group_counter': 49, 'group_order': 816, 'label': '136B-57', 'order': 136, 'powers': [115, 282, 16], 'representative': 159, 'size': 3}
  • id: 140998472
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 303, 'group_counter': 49, 'group_order': 816, 'label': '136B59', 'order': 136, 'powers': [114, 287, 17], 'representative': 391, 'size': 3}
  • id: 140998473
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 304, 'group_counter': 49, 'group_order': 816, 'label': '136B-59', 'order': 136, 'powers': [113, 288, 18], 'representative': 155, 'size': 3}
  • id: 140998474
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 305, 'group_counter': 49, 'group_order': 816, 'label': '136B61', 'order': 136, 'powers': [112, 293, 18], 'representative': 395, 'size': 3}
  • id: 140998475
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 306, 'group_counter': 49, 'group_order': 816, 'label': '136B-61', 'order': 136, 'powers': [111, 294, 17], 'representative': 151, 'size': 3}
  • id: 140998476
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 307, 'group_counter': 49, 'group_order': 816, 'label': '136B63', 'order': 136, 'powers': [110, 297, 16], 'representative': 399, 'size': 3}
  • id: 140998477
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 308, 'group_counter': 49, 'group_order': 816, 'label': '136B-63', 'order': 136, 'powers': [109, 298, 15], 'representative': 147, 'size': 3}
  • id: 140998478
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 309, 'group_counter': 49, 'group_order': 816, 'label': '136B65', 'order': 136, 'powers': [108, 303, 15], 'representative': 675, 'size': 3}
  • id: 140998480
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 310, 'group_counter': 49, 'group_order': 816, 'label': '136B-65', 'order': 136, 'powers': [107, 304, 16], 'representative': 687, 'size': 3}
  • id: 140998481
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 311, 'group_counter': 49, 'group_order': 816, 'label': '136B67', 'order': 136, 'powers': [106, 309, 17], 'representative': 679, 'size': 3}
  • id: 140998482
    {'aut_label': '136B1', 'centralizer': '3.a1.a1', 'counter': 312, 'group_counter': 49, 'group_order': 816, 'label': '136B-67', 'order': 136, 'powers': [105, 310, 18], 'representative': 683, 'size': 3}
  • id: 140998483
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 313, 'group_counter': 49, 'group_order': 816, 'label': '204A1', 'order': 204, 'powers': [169, 107, 19], 'representative': 4, 'size': 2}
  • id: 140998484
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 314, 'group_counter': 49, 'group_order': 816, 'label': '204A-1', 'order': 204, 'powers': [170, 108, 20], 'representative': 812, 'size': 2}
  • id: 140998485
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 315, 'group_counter': 49, 'group_order': 816, 'label': '204A5', 'order': 204, 'powers': [171, 119, 19], 'representative': 20, 'size': 2}
  • id: 140998486
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 316, 'group_counter': 49, 'group_order': 816, 'label': '204A-5', 'order': 204, 'powers': [172, 120, 20], 'representative': 796, 'size': 2}
  • id: 140998487
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 317, 'group_counter': 49, 'group_order': 816, 'label': '204A7', 'order': 204, 'powers': [173, 123, 20], 'representative': 28, 'size': 2}
  • id: 140998488
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 318, 'group_counter': 49, 'group_order': 816, 'label': '204A-7', 'order': 204, 'powers': [174, 124, 19], 'representative': 788, 'size': 2}
  • id: 140998489
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 319, 'group_counter': 49, 'group_order': 816, 'label': '204A11', 'order': 204, 'powers': [175, 135, 20], 'representative': 44, 'size': 2}
  • id: 140998491
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 320, 'group_counter': 49, 'group_order': 816, 'label': '204A-11', 'order': 204, 'powers': [176, 136, 19], 'representative': 772, 'size': 2}
  • id: 140998492
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 321, 'group_counter': 49, 'group_order': 816, 'label': '204A13', 'order': 204, 'powers': [177, 132, 19], 'representative': 52, 'size': 2}
  • id: 140998493
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 322, 'group_counter': 49, 'group_order': 816, 'label': '204A-13', 'order': 204, 'powers': [178, 131, 20], 'representative': 764, 'size': 2}
  • id: 140998494
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 323, 'group_counter': 49, 'group_order': 816, 'label': '204A19', 'order': 204, 'powers': [179, 116, 20], 'representative': 76, 'size': 2}
  • id: 140998495
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 324, 'group_counter': 49, 'group_order': 816, 'label': '204A-19', 'order': 204, 'powers': [180, 115, 19], 'representative': 740, 'size': 2}
  • id: 140998496
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 325, 'group_counter': 49, 'group_order': 816, 'label': '204A23', 'order': 204, 'powers': [176, 105, 20], 'representative': 92, 'size': 2}
  • id: 140998497
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 326, 'group_counter': 49, 'group_order': 816, 'label': '204A-23', 'order': 204, 'powers': [175, 106, 19], 'representative': 724, 'size': 2}
  • id: 140998498
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 327, 'group_counter': 49, 'group_order': 816, 'label': '204A25', 'order': 204, 'powers': [181, 111, 19], 'representative': 100, 'size': 2}
  • id: 140998499
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 328, 'group_counter': 49, 'group_order': 816, 'label': '204A-25', 'order': 204, 'powers': [182, 112, 20], 'representative': 716, 'size': 2}
  • id: 140998500
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 329, 'group_counter': 49, 'group_order': 816, 'label': '204A29', 'order': 204, 'powers': [172, 121, 19], 'representative': 116, 'size': 2}
  • id: 140998502
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 330, 'group_counter': 49, 'group_order': 816, 'label': '204A-29', 'order': 204, 'powers': [171, 122, 20], 'representative': 700, 'size': 2}
  • id: 140998503
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 331, 'group_counter': 49, 'group_order': 816, 'label': '204A31', 'order': 204, 'powers': [183, 127, 20], 'representative': 124, 'size': 2}
  • id: 140998504
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 332, 'group_counter': 49, 'group_order': 816, 'label': '204A-31', 'order': 204, 'powers': [184, 128, 19], 'representative': 692, 'size': 2}
  • id: 140998505
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 333, 'group_counter': 49, 'group_order': 816, 'label': '204A35', 'order': 204, 'powers': [169, 134, 20], 'representative': 140, 'size': 2}
  • id: 140998506
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 334, 'group_counter': 49, 'group_order': 816, 'label': '204A-35', 'order': 204, 'powers': [170, 133, 19], 'representative': 676, 'size': 2}
  • id: 140998507
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 335, 'group_counter': 49, 'group_order': 816, 'label': '204A41', 'order': 204, 'powers': [173, 118, 19], 'representative': 164, 'size': 2}
  • id: 140998508
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 336, 'group_counter': 49, 'group_order': 816, 'label': '204A-41', 'order': 204, 'powers': [174, 117, 20], 'representative': 652, 'size': 2}
  • id: 140998509
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 337, 'group_counter': 49, 'group_order': 816, 'label': '204A47', 'order': 204, 'powers': [177, 109, 20], 'representative': 188, 'size': 2}
  • id: 140998510
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 338, 'group_counter': 49, 'group_order': 816, 'label': '204A-47', 'order': 204, 'powers': [178, 110, 19], 'representative': 628, 'size': 2}
  • id: 140998511
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 339, 'group_counter': 49, 'group_order': 816, 'label': '204A53', 'order': 204, 'powers': [179, 125, 19], 'representative': 212, 'size': 2}
  • id: 140998513
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 340, 'group_counter': 49, 'group_order': 816, 'label': '204A-53', 'order': 204, 'powers': [180, 126, 20], 'representative': 604, 'size': 2}
  • id: 140998514
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 341, 'group_counter': 49, 'group_order': 816, 'label': '204A59', 'order': 204, 'powers': [181, 130, 20], 'representative': 236, 'size': 2}
  • id: 140998515
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 342, 'group_counter': 49, 'group_order': 816, 'label': '204A-59', 'order': 204, 'powers': [182, 129, 19], 'representative': 580, 'size': 2}
  • id: 140998516
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 343, 'group_counter': 49, 'group_order': 816, 'label': '204A65', 'order': 204, 'powers': [183, 114, 19], 'representative': 260, 'size': 2}
  • id: 140998517
    {'aut_label': '204A1', 'centralizer': '2.b1.a1', 'counter': 344, 'group_counter': 49, 'group_order': 816, 'label': '204A-65', 'order': 204, 'powers': [184, 113, 20], 'representative': 556, 'size': 2}
  • id: 140998518
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 345, 'group_counter': 49, 'group_order': 816, 'label': '408A1', 'order': 408, 'powers': [313, 185, 37], 'representative': 2, 'size': 2}
  • id: 140998519
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 346, 'group_counter': 49, 'group_order': 816, 'label': '408A-1', 'order': 408, 'powers': [314, 186, 38], 'representative': 542, 'size': 2}
  • id: 140998520
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 347, 'group_counter': 49, 'group_order': 816, 'label': '408A5', 'order': 408, 'powers': [315, 189, 39], 'representative': 10, 'size': 2}
  • id: 140998521
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 348, 'group_counter': 49, 'group_order': 816, 'label': '408A-5', 'order': 408, 'powers': [316, 190, 40], 'representative': 262, 'size': 2}
  • id: 140998522
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 349, 'group_counter': 49, 'group_order': 816, 'label': '408A7', 'order': 408, 'powers': [317, 191, 38], 'representative': 14, 'size': 2}
  • id: 140998524
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 350, 'group_counter': 49, 'group_order': 816, 'label': '408A-7', 'order': 408, 'powers': [318, 192, 37], 'representative': 530, 'size': 2}
  • id: 140998525
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 351, 'group_counter': 49, 'group_order': 816, 'label': '408A11', 'order': 408, 'powers': [319, 195, 40], 'representative': 22, 'size': 2}
  • id: 140998526
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 352, 'group_counter': 49, 'group_order': 816, 'label': '408A-11', 'order': 408, 'powers': [320, 196, 39], 'representative': 250, 'size': 2}
  • id: 140998527
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 353, 'group_counter': 49, 'group_order': 816, 'label': '408A13', 'order': 408, 'powers': [321, 197, 39], 'representative': 26, 'size': 2}
  • id: 140998528
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 354, 'group_counter': 49, 'group_order': 816, 'label': '408A-13', 'order': 408, 'powers': [322, 198, 40], 'representative': 518, 'size': 2}
  • id: 140998529
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 355, 'group_counter': 49, 'group_order': 816, 'label': '408A19', 'order': 408, 'powers': [323, 201, 40], 'representative': 38, 'size': 2}
  • id: 140998530
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 356, 'group_counter': 49, 'group_order': 816, 'label': '408A-19', 'order': 408, 'powers': [324, 202, 39], 'representative': 778, 'size': 2}
  • id: 140998531
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 357, 'group_counter': 49, 'group_order': 816, 'label': '408A23', 'order': 408, 'powers': [325, 205, 38], 'representative': 46, 'size': 2}
  • id: 140998532
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 358, 'group_counter': 49, 'group_order': 816, 'label': '408A-23', 'order': 408, 'powers': [326, 206, 37], 'representative': 770, 'size': 2}
  • id: 140998533
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 359, 'group_counter': 49, 'group_order': 816, 'label': '408A25', 'order': 408, 'powers': [327, 207, 37], 'representative': 50, 'size': 2}
  • id: 140998535
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 360, 'group_counter': 49, 'group_order': 816, 'label': '408A-25', 'order': 408, 'powers': [328, 208, 38], 'representative': 494, 'size': 2}
  • id: 140998536
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 361, 'group_counter': 49, 'group_order': 816, 'label': '408A29', 'order': 408, 'powers': [329, 211, 39], 'representative': 58, 'size': 2}
  • id: 140998537
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 362, 'group_counter': 49, 'group_order': 816, 'label': '408A-29', 'order': 408, 'powers': [330, 212, 40], 'representative': 214, 'size': 2}
  • id: 140998538
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 363, 'group_counter': 49, 'group_order': 816, 'label': '408A31', 'order': 408, 'powers': [331, 213, 38], 'representative': 62, 'size': 2}
  • id: 140998539
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 364, 'group_counter': 49, 'group_order': 816, 'label': '408A-31', 'order': 408, 'powers': [332, 214, 37], 'representative': 482, 'size': 2}
  • id: 140998540
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 365, 'group_counter': 49, 'group_order': 816, 'label': '408A35', 'order': 408, 'powers': [333, 217, 40], 'representative': 70, 'size': 2}
  • id: 140998541
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 366, 'group_counter': 49, 'group_order': 816, 'label': '408A-35', 'order': 408, 'powers': [334, 218, 39], 'representative': 202, 'size': 2}
  • id: 140998542
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 367, 'group_counter': 49, 'group_order': 816, 'label': '408A37', 'order': 408, 'powers': [332, 219, 39], 'representative': 346, 'size': 2}
  • id: 140998543
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 368, 'group_counter': 49, 'group_order': 816, 'label': '408A-37', 'order': 408, 'powers': [331, 220, 40], 'representative': 470, 'size': 2}
  • id: 140998544
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 369, 'group_counter': 49, 'group_order': 816, 'label': '408A41', 'order': 408, 'powers': [335, 223, 37], 'representative': 626, 'size': 2}
  • id: 140998546
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 370, 'group_counter': 49, 'group_order': 816, 'label': '408A-41', 'order': 408, 'powers': [336, 224, 38], 'representative': 734, 'size': 2}
  • id: 140998547
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 371, 'group_counter': 49, 'group_order': 816, 'label': '408A43', 'order': 408, 'powers': [328, 225, 40], 'representative': 86, 'size': 2}
  • id: 140998548
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 372, 'group_counter': 49, 'group_order': 816, 'label': '408A-43', 'order': 408, 'powers': [327, 226, 39], 'representative': 730, 'size': 2}
  • id: 140998549
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 373, 'group_counter': 49, 'group_order': 816, 'label': '408A47', 'order': 408, 'powers': [337, 229, 38], 'representative': 638, 'size': 2}
  • id: 140998550
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 374, 'group_counter': 49, 'group_order': 816, 'label': '408A-47', 'order': 408, 'powers': [338, 230, 37], 'representative': 722, 'size': 2}
  • id: 140998551
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 375, 'group_counter': 49, 'group_order': 816, 'label': '408A49', 'order': 408, 'powers': [324, 231, 37], 'representative': 98, 'size': 2}
  • id: 140998552
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 376, 'group_counter': 49, 'group_order': 816, 'label': '408A-49', 'order': 408, 'powers': [323, 232, 38], 'representative': 446, 'size': 2}
  • id: 140998553
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 377, 'group_counter': 49, 'group_order': 816, 'label': '408A53', 'order': 408, 'powers': [339, 233, 39], 'representative': 106, 'size': 2}
  • id: 140998554
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 378, 'group_counter': 49, 'group_order': 816, 'label': '408A-53', 'order': 408, 'powers': [340, 234, 40], 'representative': 166, 'size': 2}
  • id: 140998555
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 379, 'group_counter': 49, 'group_order': 816, 'label': '408A55', 'order': 408, 'powers': [322, 235, 38], 'representative': 110, 'size': 2}
  • id: 140998557
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 380, 'group_counter': 49, 'group_order': 816, 'label': '408A-55', 'order': 408, 'powers': [321, 236, 37], 'representative': 434, 'size': 2}
  • id: 140998558
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 381, 'group_counter': 49, 'group_order': 816, 'label': '408A59', 'order': 408, 'powers': [341, 239, 40], 'representative': 118, 'size': 2}
  • id: 140998559
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 382, 'group_counter': 49, 'group_order': 816, 'label': '408A-59', 'order': 408, 'powers': [342, 240, 39], 'representative': 154, 'size': 2}
  • id: 140998560
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 383, 'group_counter': 49, 'group_order': 816, 'label': '408A61', 'order': 408, 'powers': [318, 241, 39], 'representative': 394, 'size': 2}
  • id: 140998561
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 384, 'group_counter': 49, 'group_order': 816, 'label': '408A-61', 'order': 408, 'powers': [317, 242, 40], 'representative': 422, 'size': 2}
  • id: 140998562
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 385, 'group_counter': 49, 'group_order': 816, 'label': '408A65', 'order': 408, 'powers': [343, 245, 37], 'representative': 674, 'size': 2}
  • id: 140998563
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 386, 'group_counter': 49, 'group_order': 816, 'label': '408A-65', 'order': 408, 'powers': [344, 246, 38], 'representative': 686, 'size': 2}
  • id: 140998564
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 387, 'group_counter': 49, 'group_order': 816, 'label': '408A67', 'order': 408, 'powers': [314, 247, 40], 'representative': 134, 'size': 2}
  • id: 140998565
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 388, 'group_counter': 49, 'group_order': 816, 'label': '408A-67', 'order': 408, 'powers': [313, 248, 39], 'representative': 682, 'size': 2}
  • id: 140998566
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 389, 'group_counter': 49, 'group_order': 816, 'label': '408A73', 'order': 408, 'powers': [315, 244, 37], 'representative': 146, 'size': 2}
  • id: 140998568
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 390, 'group_counter': 49, 'group_order': 816, 'label': '408A-73', 'order': 408, 'powers': [316, 243, 38], 'representative': 398, 'size': 2}
  • id: 140998569
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 391, 'group_counter': 49, 'group_order': 816, 'label': '408A79', 'order': 408, 'powers': [319, 238, 38], 'representative': 158, 'size': 2}
  • id: 140998570
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 392, 'group_counter': 49, 'group_order': 816, 'label': '408A-79', 'order': 408, 'powers': [320, 237, 37], 'representative': 386, 'size': 2}
  • id: 140998571
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 393, 'group_counter': 49, 'group_order': 816, 'label': '408A91', 'order': 408, 'powers': [325, 228, 40], 'representative': 182, 'size': 2}
  • id: 140998572
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 394, 'group_counter': 49, 'group_order': 816, 'label': '408A-91', 'order': 408, 'powers': [326, 227, 39], 'representative': 634, 'size': 2}
  • id: 140998573
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 395, 'group_counter': 49, 'group_order': 816, 'label': '408A97', 'order': 408, 'powers': [329, 222, 37], 'representative': 194, 'size': 2}
  • id: 140998574
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 396, 'group_counter': 49, 'group_order': 816, 'label': '408A-97', 'order': 408, 'powers': [330, 221, 38], 'representative': 350, 'size': 2}
  • id: 140998575
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 397, 'group_counter': 49, 'group_order': 816, 'label': '408A103', 'order': 408, 'powers': [333, 216, 38], 'representative': 206, 'size': 2}
  • id: 140998576
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 398, 'group_counter': 49, 'group_order': 816, 'label': '408A-103', 'order': 408, 'powers': [334, 215, 37], 'representative': 338, 'size': 2}
  • id: 140998577
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 399, 'group_counter': 49, 'group_order': 816, 'label': '408A109', 'order': 408, 'powers': [335, 210, 39], 'representative': 490, 'size': 2}
  • id: 140998580
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 400, 'group_counter': 49, 'group_order': 816, 'label': '408A-109', 'order': 408, 'powers': [336, 209, 40], 'representative': 326, 'size': 2}
  • id: 140998581
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 401, 'group_counter': 49, 'group_order': 816, 'label': '408A115', 'order': 408, 'powers': [337, 204, 40], 'representative': 230, 'size': 2}
  • id: 140998582
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 402, 'group_counter': 49, 'group_order': 816, 'label': '408A-115', 'order': 408, 'powers': [338, 203, 39], 'representative': 586, 'size': 2}
  • id: 140998583
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 403, 'group_counter': 49, 'group_order': 816, 'label': '408A121', 'order': 408, 'powers': [339, 200, 37], 'representative': 242, 'size': 2}
  • id: 140998584
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 404, 'group_counter': 49, 'group_order': 816, 'label': '408A-121', 'order': 408, 'powers': [340, 199, 38], 'representative': 302, 'size': 2}
  • id: 140998585
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 405, 'group_counter': 49, 'group_order': 816, 'label': '408A127', 'order': 408, 'powers': [341, 194, 38], 'representative': 254, 'size': 2}
  • id: 140998586
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 406, 'group_counter': 49, 'group_order': 816, 'label': '408A-127', 'order': 408, 'powers': [342, 193, 37], 'representative': 290, 'size': 2}
  • id: 140998587
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 407, 'group_counter': 49, 'group_order': 816, 'label': '408A133', 'order': 408, 'powers': [343, 188, 39], 'representative': 538, 'size': 2}
  • id: 140998588
    {'aut_label': '408A1', 'centralizer': '2.b1.a1', 'counter': 408, 'group_counter': 49, 'group_order': 816, 'label': '408A-133', 'order': 408, 'powers': [344, 187, 40], 'representative': 278, '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: 13015642
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13015653
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13015659
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13015660
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13015661
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015662
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015650
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  • id: 13015651
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  • id: 13015663
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  • id: 13015664
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015652
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  • id: 13015654
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  • id: 13015665
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  • id: 13015643
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  • id: 13015644
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  • id: 13015645
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  • id: 13015646
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  • id: 13015647
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1n', 'multiplicity': 32, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, 32, 32, 32, 32, -32, -32, -32, -32, 32, 0, 0, 0, 0, 0, 0, 0, 0, -32, -32, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015655
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.2e', 'multiplicity': 16, 'nt': [51, 0], 'qdim': 32, 'qvalues': [32, 32, 0, 0, -16, 32, 32, 0, 0, -16, 32, 32, 32, 32, 0, 0, 0, 0, -16, -16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -16, -16, -16, -16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13015656
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.2f', 'multiplicity': 16, 'nt': [102, 0], 'qdim': 32, 'qvalues': [32, 32, 0, 0, -16, 32, 32, 0, 0, -16, -32, -32, -32, -32, 0, 0, 0, 0, -16, -16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 16, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13015648
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1o', 'multiplicity': 64, 'nt': [136, 0], 'qdim': 64, 'qvalues': [64, -64, -64, 64, 64, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015649
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.1p', 'multiplicity': 64, 'nt': [136, 0], 'qdim': 64, 'qvalues': [64, -64, 64, -64, 64, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015657
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.2g', 'multiplicity': 32, 'nt': [204, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, -32, -64, -64, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 32, 32, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13015658
    {'cdim': 2, 'counter': 24, 'faithful': True, 'group': '816.49', 'group_order': 816, 'image': None, 'label': '816.49.2h', 'multiplicity': 64, 'nt': [408, 0], 'qdim': 128, 'qvalues': [128, -128, 0, 0, -64, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 30495390
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  • id: 30495723
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  • id: 30495754
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  • id: 30495776
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  • id: 30495787
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  • id: 30495391
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  • id: 30495402
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  • id: 30495413
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  • id: 30495424
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  • id: 30495435
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  • id: 30495446
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  • id: 30495457
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  • id: 30495468
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  • id: 30495568
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  • id: 30495579
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  • id: 30495590
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  • id: 30495601
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  • id: 30495613
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  • id: 30495624
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  • id: 30495635
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  • id: 30495479
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  • id: 30495490
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  • id: 30495502
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  • id: 30495513
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  • id: 30495524
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  • id: 30495535
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  • id: 30495546
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  • id: 30495557
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  • id: 30495646
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  • id: 30495735
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  • id: 30495736
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  • id: 30495737
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  • id: 30495738
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  • id: 30495739
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  • id: 30495740
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  • id: 30495741
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  • id: 30495657
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  • id: 30495668
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  • id: 30495679
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  • id: 30495690
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  • id: 30495701
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  • id: 30495712
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  • id: 30495724
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  • id: 30495734
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  • id: 30495742
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  • id: 30495752
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  • id: 30495753
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  • id: 30495755
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  • id: 30495756
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  • id: 30495757
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  • id: 30495758
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  • id: 30495759
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  • id: 30495744
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  • id: 30495745
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  • id: 30495746
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  • id: 30495747
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  • id: 30495748
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  • id: 30495749
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  • id: 30495750
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  • id: 30495751
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  • id: 30495760
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  • id: 30495770
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  • id: 30495771
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  • id: 30495772
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  • id: 30495773
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  • id: 30495774
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  • id: 30495775
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  • id: 30495777
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  • id: 30495761
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  • id: 30495762
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  • id: 30495763
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  • id: 30495764
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  • id: 30495766
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  • id: 30495767
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  • id: 30495768
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  • id: 30495769
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  • id: 30495778
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  • id: 30495788
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  • id: 30495789
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  • id: 30495790
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  • id: 30495791
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  • id: 30495792
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  • id: 30495793
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  • id: 30495794
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  • id: 30495795
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  • id: 30495796
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  • id: 30495797
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  • id: 30495779
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  • id: 30495392
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  • id: 30495393
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  • id: 30495394
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  • id: 30495395
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  • id: 30495396
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  • id: 30495397
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  • id: 30495398
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  • id: 30495399
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  • id: 30495400
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  • id: 30495401
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  • id: 30495780
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  • id: 30495403
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  • id: 30495404
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  • id: 30495405
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  • id: 30495781
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  • id: 30495782
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  • id: 30495783
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  • id: 30495784
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  • id: 30495785
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  • id: 30495786
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  • id: 30495406
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  • id: 30495416
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  • id: 30495417
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  • id: 30495418
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 124, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 12, 'label': '816.49.1n12', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[-1, 2]], [[-1, 18]], [[1, 8]], [[1, 20]], [[-1, 26]], [[-1, 6]], [[1, 4]], [[-1, 14]], [[-1, 22]], [[-1, 30]], [[1, 16]], [[1, 12]], [[1, 32]], [[1, 28]], [[1, 24]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 4]], [[1, 20]], [[-1, 10]], [[-1, 2]], [[1, 28]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 32]], [[-1, 30]], [[1, 16]], [[-1, 18]], [[-1, 22]], [[-1, 26]], [[1, 24]], [[-1, 14]], [[1, 24]], [[1, 28]], [[-1, 18]], [[-1, 10]], [[-1, 2]], [[-1, 26]], [[1, 20]], [[1, 32]], [[1, 4]], [[-1, 14]], [[-1, 22]], [[-1, 30]], [[-1, 10]], [[1, 16]], [[-1, 6]], [[1, 8]], [[1, 20]], [[1, 12]], [[-1, 26]], [[1, 32]], [[1, 24]], [[-1, 18]], [[1, 4]], [[1, 28]], [[1, 8]], [[-1, 14]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[-1, 30]], [[-1, 6]], [[1, 12]], [[1, 20]], [[1, 12]], [[-1, 26]], [[1, 28]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 30]], [[1, 16]], [[1, 32]], [[-1, 18]], [[-1, 14]], [[1, 24]], [[1, 8]], [[-1, 10]], [[-1, 22]], [[1, 18]], [[-1, 16]], [[-1, 32]], [[1, 6]], [[1, 22]], [[-1, 24]], [[1, 10]], [[-1, 28]], [[1, 26]], [[-1, 4]], [[-1, 20]], [[1, 10]], [[-1, 12]], [[1, 30]], [[1, 22]], [[-1, 4]], [[1, 2]], [[-1, 28]], [[-1, 12]], [[1, 18]], [[-1, 20]], [[1, 2]], [[-1, 32]], [[1, 30]], [[1, 14]], [[-1, 24]], [[-1, 8]], [[1, 26]], [[1, 14]], [[-1, 16]], [[-1, 8]], [[1, 6]], [[-1, 16]], [[-1, 28]], [[1, 6]], [[-1, 16]], [[-1, 4]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 14]], [[1, 6]], [[1, 30]], [[-1, 28]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[-1, 32]], [[-1, 20]], [[1, 22]], [[-1, 32]], [[1, 22]], [[1, 10]], [[1, 18]], [[-1, 4]], [[1, 30]], [[-1, 24]], [[1, 14]], [[-1, 12]], [[-1, 24]], [[1, 26]], [[-1, 20]], [[1, 18]], [[1, 4]], [[-1, 6]], [[1, 16]], [[-1, 18]], [[1, 20]], [[1, 28]], [[-1, 26]], [[-1, 30]], [[1, 24]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 22]], [[1, 32]], [[1, 12]], [[-1, 14]], [[1, 11]], [[1, 15]], [[1, 23]], [[-1, 7]], [[-1, 27]], [[-1, 9]], [[-1, 13]], [[-1, 5]], [[-1, 19]], [[-1, 3]], [[1, 3]], [[-1, 33]], [[-1, 29]], [[-1, 21]], [[-1, 1]], [[1, 25]], [[1, 13]], [[1, 27]], [[-1, 3]], [[-1, 13]], [[-1, 21]], [[-1, 25]], [[1, 9]], [[1, 29]], [[-1, 11]], [[1, 9]], [[1, 5]], [[1, 33]], [[-1, 9]], [[-1, 29]], [[1, 11]], [[1, 7]], [[1, 25]], [[-1, 11]], [[-1, 27]], [[1, 21]], [[-1, 1]], [[-1, 19]], [[1, 33]], [[1, 15]], [[1, 7]], [[1, 3]], [[1, 19]], [[-1, 7]], [[-1, 31]], [[1, 1]], [[1, 27]], [[1, 31]], [[-1, 5]], [[-1, 23]], [[1, 1]], [[1, 13]], [[1, 29]], [[1, 21]], [[1, 5]], [[-1, 31]], [[-1, 15]], [[1, 31]], [[1, 23]], [[1, 19]], [[-1, 33]], [[-1, 23]], [[-1, 15]], [[-1, 25]], [[-1, 23]], [[1, 27]], [[-1, 11]], [[-1, 3]], [[-1, 7]], [[1, 15]], [[1, 19]], [[1, 31]], [[-1, 15]], [[-1, 7]], [[1, 23]], [[1, 11]], [[-1, 15]], [[-1, 11]], [[-1, 3]], [[1, 19]], [[-1, 21]], [[-1, 33]], [[-1, 27]], [[1, 5]], [[1, 9]], [[-1, 9]], [[-1, 25]], [[1, 23]], [[1, 13]], [[-1, 25]], [[-1, 13]], [[-1, 29]], [[1, 13]], [[1, 1]], [[1, 5]], [[-1, 21]], [[-1, 5]], [[-1, 9]], [[1, 9]], [[1, 21]], [[1, 25]], [[-1, 33]], [[-1, 1]], [[1, 1]], [[-1, 31]], [[1, 25]], [[1, 7]], [[-1, 29]], [[-1, 13]], [[-1, 31]], [[-1, 27]], [[1, 21]], [[1, 3]], [[1, 3]], [[1, 15]], [[1, 33]], [[-1, 23]], [[-1, 5]], [[1, 27]], [[1, 7]], [[1, 33]], [[1, 29]], [[-1, 19]], [[-1, 1]], [[1, 31]], [[1, 11]], [[1, 29]], [[-1, 19]], [[1, 22]], [[1, 2]], [[1, 26]], [[1, 2]], [[1, 10]], [[-1, 16]], [[1, 18]], [[1, 30]], [[1, 10]], [[-1, 32]], [[-1, 20]], [[1, 30]], [[-1, 24]], [[-1, 8]], [[1, 6]], [[-1, 20]], [[1, 14]], [[-1, 28]], [[1, 18]], [[-1, 16]], [[1, 22]], [[-1, 28]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 26]], [[-1, 32]], [[-1, 12]], [[-1, 24]], [[1, 7]], [[1, 31]], [[-1, 1]], [[1, 5]], [[1, 25]], [[1, 27]], [[-1, 27]], [[1, 25]], [[-1, 15]], [[-1, 3]], [[1, 5]], [[1, 7]], [[-1, 29]], [[-1, 25]], [[1, 23]], [[-1, 21]], [[-1, 21]], [[1, 31]], [[-1, 15]], [[1, 29]], [[-1, 23]], [[1, 33]], [[1, 1]], [[-1, 13]], [[1, 27]], [[1, 23]], [[1, 15]], [[1, 19]], [[-1, 13]], [[-1, 11]], [[1, 9]], [[1, 3]], [[-1, 19]], [[1, 21]], [[-1, 33]], [[-1, 31]], [[1, 9]], [[-1, 7]], [[-1, 31]], [[1, 1]], [[-1, 23]], [[-1, 25]], [[1, 29]], [[-1, 27]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 19]], [[-1, 19]], [[-1, 1]], [[1, 33]], [[1, 13]], [[1, 21]], [[-1, 7]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 33]], [[1, 3]], [[1, 15]], [[1, 13]], [[-1, 11]], [[-1, 29]]]}
  • id: 30495419
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  • id: 30495420
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  • id: 30495421
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  • id: 30495422
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  • id: 30495423
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  • id: 30495425
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  • id: 30495426
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  • id: 30495407
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  • id: 30495427
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  • id: 30495428
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  • id: 30495429
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  • id: 30495430
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 135, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 12, 'label': '816.49.1n23', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[1, 16]], [[1, 8]], [[-1, 30]], [[1, 24]], [[1, 4]], [[-1, 14]], [[1, 32]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, 26]], [[1, 28]], [[-1, 18]], [[1, 20]], [[-1, 22]], [[1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 32]], [[1, 24]], [[1, 12]], [[1, 16]], [[1, 20]], [[1, 28]], [[-1, 30]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 22]], [[-1, 10]], [[-1, 22]], [[1, 20]], [[1, 8]], [[1, 12]], [[1, 16]], [[1, 4]], [[1, 24]], [[-1, 18]], [[1, 32]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 12]], [[-1, 26]], [[-1, 14]], [[-1, 30]], [[1, 24]], [[1, 28]], [[1, 4]], [[-1, 18]], [[-1, 22]], [[1, 8]], [[1, 32]], [[1, 20]], [[-1, 30]], [[-1, 10]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[-1, 2]], [[-1, 14]], [[1, 28]], [[1, 24]], [[1, 28]], [[1, 4]], [[1, 20]], [[-1, 14]], [[1, 32]], [[1, 16]], [[-1, 2]], [[-1, 26]], [[-1, 18]], [[1, 8]], [[-1, 10]], [[-1, 22]], [[-1, 30]], [[1, 12]], [[-1, 6]], [[-1, 8]], [[1, 26]], [[1, 18]], [[1, 14]], [[1, 6]], [[1, 22]], [[-1, 12]], [[-1, 20]], [[-1, 4]], [[-1, 32]], [[-1, 24]], [[-1, 12]], [[-1, 28]], [[1, 2]], [[1, 6]], [[-1, 32]], [[-1, 16]], [[-1, 20]], [[-1, 28]], [[-1, 8]], [[-1, 24]], [[-1, 16]], [[1, 18]], [[1, 2]], [[1, 10]], [[1, 22]], [[1, 30]], [[-1, 4]], [[1, 10]], [[1, 26]], [[1, 30]], [[1, 14]], [[1, 26]], [[-1, 20]], [[1, 14]], [[1, 26]], [[-1, 32]], [[-1, 16]], [[-1, 4]], [[-1, 16]], [[1, 10]], [[1, 14]], [[1, 2]], [[-1, 20]], [[1, 30]], [[-1, 12]], [[-1, 28]], [[1, 30]], [[1, 18]], [[-1, 24]], [[1, 6]], [[1, 18]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 32]], [[1, 2]], [[1, 22]], [[1, 10]], [[-1, 28]], [[1, 22]], [[-1, 4]], [[-1, 24]], [[-1, 8]], [[1, 32]], [[-1, 14]], [[-1, 26]], [[1, 8]], [[1, 24]], [[1, 20]], [[1, 4]], [[-1, 2]], [[-1, 22]], [[1, 16]], [[1, 12]], [[-1, 30]], [[-1, 6]], [[-1, 18]], [[1, 28]], [[-1, 10]], [[-1, 3]], [[1, 1]], [[-1, 31]], [[-1, 5]], [[-1, 29]], [[1, 21]], [[-1, 19]], [[-1, 23]], [[-1, 33]], [[1, 7]], [[-1, 7]], [[1, 9]], [[-1, 11]], [[-1, 15]], [[1, 25]], [[-1, 13]], [[1, 19]], [[1, 29]], [[1, 7]], [[-1, 19]], [[-1, 15]], [[1, 13]], [[-1, 21]], [[1, 11]], [[1, 3]], [[-1, 21]], [[1, 23]], [[-1, 9]], [[1, 21]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[-1, 13]], [[1, 3]], [[-1, 29]], [[1, 15]], [[1, 25]], [[-1, 33]], [[-1, 9]], [[1, 1]], [[1, 5]], [[-1, 7]], [[1, 33]], [[-1, 5]], [[1, 27]], [[-1, 25]], [[1, 29]], [[-1, 27]], [[-1, 23]], [[1, 31]], [[-1, 25]], [[1, 19]], [[1, 11]], [[1, 15]], [[1, 23]], [[1, 27]], [[-1, 1]], [[-1, 27]], [[-1, 31]], [[1, 33]], [[1, 9]], [[1, 31]], [[-1, 1]], [[1, 13]], [[1, 31]], [[1, 29]], [[1, 3]], [[1, 7]], [[-1, 5]], [[1, 1]], [[1, 33]], [[-1, 27]], [[-1, 1]], [[-1, 5]], [[-1, 31]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 33]], [[-1, 15]], [[1, 9]], [[-1, 29]], [[1, 23]], [[-1, 21]], [[1, 21]], [[1, 13]], [[-1, 31]], [[1, 19]], [[1, 13]], [[-1, 19]], [[-1, 11]], [[1, 19]], [[-1, 25]], [[1, 23]], [[-1, 15]], [[-1, 23]], [[1, 21]], [[-1, 21]], [[1, 15]], [[-1, 13]], [[1, 9]], [[1, 25]], [[-1, 25]], [[1, 27]], [[-1, 13]], [[1, 5]], [[-1, 11]], [[-1, 19]], [[1, 27]], [[-1, 29]], [[1, 15]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 31]], [[-1, 23]], [[1, 29]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 33]], [[1, 25]], [[-1, 27]], [[-1, 3]], [[1, 11]], [[-1, 33]], [[1, 6]], [[-1, 16]], [[-1, 4]], [[-1, 16]], [[-1, 12]], [[1, 26]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[1, 18]], [[-1, 24]], [[1, 2]], [[1, 22]], [[1, 30]], [[1, 14]], [[-1, 24]], [[1, 10]], [[-1, 20]], [[-1, 8]], [[1, 26]], [[1, 6]], [[-1, 20]], [[-1, 28]], [[1, 14]], [[-1, 32]], [[1, 10]], [[1, 30]], [[-1, 32]], [[-1, 4]], [[1, 18]], [[-1, 28]], [[1, 22]], [[1, 5]], [[-1, 27]], [[1, 25]], [[1, 23]], [[-1, 13]], [[1, 29]], [[-1, 29]], [[-1, 13]], [[-1, 1]], [[1, 7]], [[1, 23]], [[1, 5]], [[-1, 11]], [[1, 13]], [[-1, 31]], [[-1, 15]], [[-1, 15]], [[-1, 27]], [[-1, 1]], [[1, 11]], [[1, 31]], [[-1, 9]], [[-1, 25]], [[-1, 19]], [[1, 29]], [[-1, 31]], [[1, 1]], [[1, 33]], [[-1, 19]], [[1, 3]], [[-1, 21]], [[-1, 7]], [[-1, 33]], [[1, 15]], [[1, 9]], [[1, 27]], [[-1, 21]], [[-1, 5]], [[1, 27]], [[-1, 25]], [[1, 31]], [[1, 13]], [[1, 11]], [[-1, 29]], [[1, 7]], [[-1, 23]], [[-1, 3]], [[1, 33]], [[-1, 33]], [[1, 25]], [[-1, 9]], [[1, 19]], [[1, 15]], [[-1, 5]], [[1, 21]], [[-1, 3]], [[1, 21]], [[-1, 23]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 19]], [[1, 3]], [[-1, 11]]]}
  • id: 30495431
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  • id: 30495432
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  • id: 30495433
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  • id: 30495434
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  • id: 30495436
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  • id: 30495437
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  • id: 30495408
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  • id: 30495438
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  • id: 30495439
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  • id: 30495440
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 144, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 12, 'label': '816.49.1n32', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[-1, 17]], [[1, 17]], [[1, 17]], [[-1, 0]], [[-1, 0]], [[-1, 30]], [[-1, 6]], [[1, 20]], [[1, 24]], [[-1, 26]], [[-1, 10]], [[-1, 18]], [[1, 12]], [[1, 8]], [[1, 32]], [[-1, 22]], [[-1, 14]], [[-1, 2]], [[1, 28]], [[1, 16]], [[1, 4]], [[-1, 17]], [[1, 17]], [[-1, 17]], [[1, 17]], [[1, 12]], [[-1, 26]], [[-1, 30]], [[-1, 6]], [[1, 16]], [[-1, 2]], [[1, 24]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[-1, 14]], [[1, 20]], [[1, 32]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 16]], [[1, 20]], [[-1, 30]], [[-1, 6]], [[-1, 10]], [[-1, 26]], [[1, 28]], [[1, 12]], [[1, 8]], [[1, 32]], [[-1, 22]], [[-1, 30]], [[-1, 14]], [[-1, 18]], [[1, 24]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[1, 28]], [[1, 4]], [[1, 20]], [[1, 12]], [[1, 16]], [[1, 24]], [[1, 8]], [[-1, 14]], [[-1, 6]], [[1, 32]], [[-1, 22]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[-1, 22]], [[-1, 14]], [[1, 28]], [[1, 20]], [[1, 8]], [[1, 4]], [[1, 24]], [[-1, 30]], [[1, 32]], [[-1, 20]], [[1, 14]], [[-1, 28]], [[1, 18]], [[-1, 32]], [[-1, 4]], [[1, 30]], [[-1, 16]], [[1, 10]], [[-1, 12]], [[1, 26]], [[1, 30]], [[1, 2]], [[1, 22]], [[-1, 32]], [[-1, 12]], [[1, 6]], [[-1, 16]], [[1, 2]], [[-1, 20]], [[1, 26]], [[1, 6]], [[-1, 28]], [[1, 22]], [[-1, 8]], [[-1, 4]], [[-1, 24]], [[1, 10]], [[-1, 8]], [[1, 14]], [[-1, 24]], [[1, 18]], [[1, 14]], [[-1, 16]], [[1, 18]], [[1, 14]], [[-1, 12]], [[1, 6]], [[1, 10]], [[1, 6]], [[-1, 8]], [[1, 18]], [[1, 22]], [[-1, 16]], [[-1, 24]], [[1, 30]], [[1, 2]], [[-1, 24]], [[-1, 28]], [[1, 26]], [[-1, 32]], [[-1, 28]], [[-1, 32]], [[1, 30]], [[-1, 20]], [[-1, 12]], [[1, 22]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 26]], [[-1, 20]], [[1, 12]], [[-1, 18]], [[-1, 14]], [[1, 20]], [[-1, 26]], [[1, 16]], [[-1, 10]], [[-1, 22]], [[1, 4]], [[-1, 6]], [[-1, 30]], [[1, 24]], [[1, 32]], [[1, 28]], [[-1, 2]], [[1, 8]], [[-1, 33]], [[1, 11]], [[-1, 1]], [[1, 21]], [[1, 13]], [[1, 27]], [[-1, 5]], [[1, 15]], [[-1, 23]], [[1, 9]], [[-1, 9]], [[1, 31]], [[1, 19]], [[-1, 29]], [[1, 3]], [[-1, 7]], [[1, 5]], [[-1, 13]], [[1, 9]], [[-1, 5]], [[-1, 29]], [[1, 7]], [[-1, 27]], [[-1, 19]], [[1, 33]], [[-1, 27]], [[-1, 15]], [[-1, 31]], [[1, 27]], [[1, 19]], [[-1, 33]], [[-1, 21]], [[-1, 7]], [[1, 33]], [[1, 13]], [[1, 29]], [[1, 3]], [[-1, 23]], [[-1, 31]], [[1, 11]], [[-1, 21]], [[-1, 9]], [[1, 23]], [[1, 21]], [[1, 25]], [[-1, 3]], [[-1, 13]], [[-1, 25]], [[1, 15]], [[1, 1]], [[-1, 3]], [[1, 5]], [[-1, 19]], [[1, 29]], [[-1, 15]], [[1, 25]], [[-1, 11]], [[-1, 25]], [[-1, 1]], [[1, 23]], [[1, 31]], [[1, 1]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 13]], [[1, 33]], [[1, 9]], [[1, 21]], [[1, 11]], [[1, 23]], [[-1, 25]], [[-1, 11]], [[1, 21]], [[-1, 1]], [[-1, 33]], [[-1, 11]], [[1, 33]], [[1, 9]], [[1, 23]], [[-1, 29]], [[1, 31]], [[1, 13]], [[-1, 15]], [[-1, 27]], [[1, 27]], [[1, 7]], [[-1, 1]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 19]], [[1, 5]], [[-1, 3]], [[-1, 15]], [[-1, 29]], [[1, 15]], [[1, 27]], [[-1, 27]], [[1, 29]], [[-1, 7]], [[1, 31]], [[1, 3]], [[-1, 3]], [[1, 25]], [[-1, 7]], [[-1, 21]], [[1, 19]], [[-1, 5]], [[1, 25]], [[1, 13]], [[1, 29]], [[-1, 9]], [[-1, 9]], [[1, 11]], [[-1, 31]], [[1, 1]], [[1, 15]], [[-1, 13]], [[-1, 21]], [[-1, 31]], [[-1, 19]], [[-1, 23]], [[1, 3]], [[-1, 25]], [[-1, 33]], [[-1, 19]], [[-1, 23]], [[-1, 32]], [[1, 6]], [[1, 10]], [[1, 6]], [[1, 30]], [[1, 14]], [[-1, 20]], [[1, 22]], [[1, 30]], [[-1, 28]], [[1, 26]], [[1, 22]], [[-1, 4]], [[-1, 24]], [[1, 18]], [[1, 26]], [[-1, 8]], [[-1, 16]], [[-1, 20]], [[1, 14]], [[-1, 32]], [[-1, 16]], [[1, 2]], [[1, 18]], [[-1, 12]], [[-1, 8]], [[-1, 24]], [[-1, 12]], [[1, 10]], [[-1, 28]], [[1, 2]], [[-1, 4]], [[-1, 21]], [[-1, 25]], [[1, 3]], [[-1, 15]], [[-1, 7]], [[-1, 13]], [[1, 13]], [[-1, 7]], [[-1, 11]], [[1, 9]], [[-1, 15]], [[-1, 21]], [[1, 19]], [[1, 7]], [[-1, 1]], [[-1, 29]], [[-1, 29]], [[-1, 25]], [[-1, 11]], [[-1, 19]], [[1, 1]], [[-1, 31]], [[-1, 3]], [[-1, 5]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[1, 23]], [[-1, 5]], [[1, 33]], [[-1, 27]], [[-1, 9]], [[-1, 23]], [[1, 29]], [[1, 31]], [[1, 25]], [[-1, 27]], [[1, 21]], [[1, 25]], [[-1, 3]], [[1, 1]], [[1, 7]], [[-1, 19]], [[1, 13]], [[1, 9]], [[1, 15]], [[-1, 33]], [[1, 23]], [[-1, 23]], [[1, 3]], [[-1, 31]], [[1, 5]], [[1, 29]], [[1, 21]], [[1, 27]], [[-1, 33]], [[1, 27]], [[1, 15]], [[1, 31]], [[-1, 9]], [[1, 11]], [[1, 5]], [[1, 33]], [[1, 19]]]}
  • id: 30495409
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  • id: 30495410
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  • id: 30495411
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  • id: 30495412
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  • id: 30495414
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  • id: 30495415
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  • id: 30495441
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 145, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o1', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[-1, 51]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 34]], [[1, 34]], [[-1, 4]], [[-1, 28]], [[1, 48]], [[-1, 44]], [[1, 8]], [[1, 24]], [[1, 16]], [[1, 56]], [[-1, 60]], [[-1, 36]], [[-1, 12]], [[-1, 20]], [[1, 32]], [[1, 40]], [[-1, 52]], [[1, 64]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[-1, 56]], [[-1, 8]], [[1, 4]], [[1, 28]], [[1, 52]], [[-1, 32]], [[1, 44]], [[-1, 16]], [[-1, 40]], [[1, 12]], [[1, 20]], [[-1, 48]], 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  • id: 30495451
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  • id: 30495452
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  • id: 30495453
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  • id: 30495454
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  • id: 30495455
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  • id: 30495456
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 159, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o15', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[-1, 51]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 34]], [[1, 34]], [[1, 40]], [[1, 8]], [[-1, 4]], [[1, 32]], [[-1, 12]], [[-1, 36]], [[1, 24]], [[1, 16]], [[1, 56]], [[-1, 20]], [[-1, 52]], [[1, 64]], [[1, 48]], [[-1, 60]], [[-1, 44]], [[-1, 28]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[-1, 16]], [[1, 12]], [[-1, 40]], [[-1, 8]], [[1, 44]], [[-1, 48]], [[-1, 32]], [[-1, 24]], [[1, 60]], [[1, 52]], [[-1, 64]], [[1, 4]], 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  • id: 30495458
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  • id: 30495459
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  • id: 30495460
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  • id: 30495461
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  • id: 30495442
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  • id: 30495462
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  • id: 30495463
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  • id: 30495464
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  • id: 30495465
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  • id: 30495466
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  • id: 30495467
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  • id: 30495469
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  • id: 30495470
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  • id: 30495471
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  • id: 30495472
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  • id: 30495443
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  • id: 30495473
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  • id: 30495474
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  • id: 30495475
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  • id: 30495476
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  • id: 30495477
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  • id: 30495478
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  • id: 30495480
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  • id: 30495481
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 181, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o37', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 17]], [[-1, 51]], [[1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 64]], [[1, 24]], [[-1, 4]], [[1, 48]], [[1, 32]], [[-1, 44]], [[1, 40]], [[-1, 36]], [[-1, 60]], [[-1, 28]], [[-1, 52]], [[-1, 20]], [[1, 56]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-1, 32]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 28]], [[-1, 64]], [[-1, 48]], [[1, 52]], [[1, 36]], [[1, 60]], [[-1, 8]], 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  • id: 30495482
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  • id: 30495483
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  • id: 30495444
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  • id: 30495484
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  • id: 30495485
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  • id: 30495486
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  • id: 30495487
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  • id: 30495488
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  • id: 30495489
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  • id: 30495491
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  • id: 30495492
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  • id: 30495493
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  • id: 30495494
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  • id: 30495445
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  • id: 30495495
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 194, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o50', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 51]], [[1, 17]], [[-1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 32]], [[-1, 20]], [[-1, 44]], [[-1, 12]], [[1, 64]], [[1, 56]], [[-1, 60]], [[1, 40]], [[-1, 4]], [[1, 16]], [[-1, 28]], [[1, 24]], [[-1, 52]], [[1, 48]], [[1, 8]], [[-1, 36]], [[-1, 17]], [[1, 51]], [[1, 17]], [[-1, 51]], [[-1, 40]], [[-1, 64]], [[-1, 32]], [[1, 20]], [[-1, 8]], [[1, 52]], [[1, 12]], [[1, 60]], [[-1, 48]], [[1, 28]], [[-1, 24]], [[1, 44]], 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  • id: 30495496
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  • id: 30495497
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  • id: 30495498
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  • id: 30495499
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  • id: 30495500
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  • id: 30495503
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  • id: 30495504
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  • id: 30495505
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  • id: 30495506
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 203, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o59', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 17]], [[-1, 51]], [[1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[1, 16]], [[-1, 44]], [[1, 56]], [[1, 40]], [[1, 32]], [[-1, 28]], [[1, 64]], [[-1, 20]], [[-1, 36]], [[1, 8]], [[1, 48]], [[-1, 12]], [[-1, 60]], [[1, 24]], [[-1, 4]], [[-1, 52]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[1, 20]], [[-1, 32]], [[-1, 16]], [[1, 44]], [[1, 4]], [[1, 60]], [[-1, 40]], [[-1, 64]], [[-1, 24]], [[-1, 48]], [[1, 12]], [[-1, 56]], 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  • id: 30495447
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  • id: 30495507
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  • id: 30495508
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 205, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o61', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 17]], [[-1, 51]], [[1, 51]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[-1, 60]], [[-1, 12]], [[1, 40]], [[1, 48]], [[-1, 52]], [[-1, 20]], [[-1, 36]], [[1, 24]], [[1, 16]], [[1, 64]], [[-1, 44]], [[-1, 28]], [[-1, 4]], [[1, 56]], [[1, 32]], [[1, 8]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-1, 24]], [[1, 52]], [[1, 60]], [[1, 12]], [[-1, 32]], [[1, 4]], [[-1, 48]], [[1, 36]], [[-1, 56]], [[1, 44]], [[1, 28]], [[-1, 40]], 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  • id: 30495509
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  • id: 30495510
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  • id: 30495511
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 208, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.b1', 'kernel_order': 6, 'label': '816.49.1o64', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 51]], [[1, 17]], [[-1, 17]], [[1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[-1, 60]], [[-1, 12]], [[1, 40]], [[1, 48]], [[-1, 52]], [[-1, 20]], [[-1, 36]], [[1, 24]], [[1, 16]], [[1, 64]], [[-1, 44]], [[-1, 28]], [[-1, 4]], [[1, 56]], [[1, 32]], [[1, 8]], [[-1, 17]], [[1, 51]], [[1, 17]], [[-1, 51]], [[-1, 24]], [[1, 52]], [[1, 60]], [[1, 12]], [[-1, 32]], [[1, 4]], [[-1, 48]], [[1, 36]], [[-1, 56]], [[1, 44]], [[1, 28]], [[-1, 40]], 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  • id: 30495448
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  • id: 30495449
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  • id: 30495450
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  • id: 30495512
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  • id: 30495522
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 218, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p10', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 48]], [[1, 64]], [[1, 32]], [[-1, 52]], [[-1, 28]], [[1, 16]], [[1, 56]], [[-1, 60]], [[1, 40]], [[1, 24]], [[1, 8]], [[-1, 36]], [[-1, 44]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[1, 60]], [[1, 28]], [[-1, 48]], [[-1, 64]], [[1, 12]], [[1, 44]], [[1, 52]], [[-1, 56]], [[1, 4]], [[-1, 8]], [[1, 36]], [[-1, 32]], 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  • id: 30495523
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 219, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p11', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[1, 48]], [[1, 64]], [[1, 32]], [[-1, 52]], [[-1, 28]], [[1, 16]], [[1, 56]], [[-1, 60]], [[1, 40]], [[1, 24]], [[1, 8]], [[-1, 36]], [[-1, 44]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 60]], [[1, 28]], [[-1, 48]], [[-1, 64]], [[1, 12]], [[1, 44]], [[1, 52]], [[-1, 56]], [[1, 4]], [[-1, 8]], [[1, 36]], [[-1, 32]], 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  • id: 30495525
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  • id: 30495526
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 221, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p13', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[-1, 28]], [[-1, 60]], [[1, 64]], [[-1, 36]], [[1, 56]], [[1, 32]], [[-1, 44]], [[-1, 52]], [[-1, 12]], [[1, 48]], [[1, 16]], [[-1, 4]], [[-1, 20]], [[1, 8]], [[1, 24]], [[1, 40]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 52]], [[-1, 56]], [[1, 28]], [[1, 60]], [[-1, 24]], [[1, 20]], [[1, 36]], [[1, 44]], [[-1, 8]], [[-1, 16]], [[1, 4]], [[-1, 64]], 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  • id: 30495527
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 222, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p14', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 40]], [[1, 8]], [[-1, 4]], [[1, 32]], [[-1, 12]], [[-1, 36]], [[1, 24]], [[1, 16]], [[1, 56]], [[-1, 20]], [[-1, 52]], [[1, 64]], [[1, 48]], [[-1, 60]], [[-1, 44]], [[-1, 28]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 16]], [[1, 12]], [[-1, 40]], [[-1, 8]], [[1, 44]], [[-1, 48]], [[-1, 32]], [[-1, 24]], [[1, 60]], [[1, 52]], [[-1, 64]], [[1, 4]], 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  • id: 30495528
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  • id: 30495529
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  • id: 30495530
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 225, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p17', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[-1, 36]], [[1, 48]], [[1, 24]], [[1, 56]], [[-1, 4]], [[-1, 12]], [[1, 8]], [[-1, 28]], [[1, 64]], [[-1, 52]], [[1, 40]], [[-1, 44]], [[1, 16]], [[-1, 20]], [[-1, 60]], [[1, 32]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[1, 28]], [[1, 4]], [[1, 36]], [[-1, 48]], [[1, 60]], [[-1, 16]], [[-1, 56]], [[-1, 8]], [[1, 20]], [[-1, 40]], [[1, 44]], [[-1, 24]], 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  • id: 30495531
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  • id: 30495532
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  • id: 30495514
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 210, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p2', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 64]], [[1, 40]], [[-1, 20]], [[1, 24]], [[-1, 60]], [[-1, 44]], [[-1, 52]], [[-1, 12]], [[1, 8]], [[1, 32]], [[1, 56]], [[1, 48]], [[-1, 36]], [[-1, 28]], [[1, 16]], [[-1, 4]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[1, 12]], [[1, 60]], [[-1, 64]], [[-1, 40]], [[-1, 16]], [[1, 36]], [[-1, 24]], [[1, 52]], [[1, 28]], [[-1, 56]], [[-1, 48]], [[1, 20]], 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  • id: 30495533
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  • id: 30495534
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  • id: 30495536
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 230, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p22', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 24]], [[1, 32]], [[1, 16]], [[-1, 60]], [[1, 48]], [[1, 8]], [[-1, 28]], [[1, 64]], [[-1, 20]], [[-1, 12]], [[-1, 4]], [[-1, 52]], [[1, 56]], [[-1, 36]], [[1, 40]], [[-1, 44]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 64]], [[-1, 48]], [[-1, 24]], [[-1, 32]], [[-1, 40]], [[-1, 56]], [[1, 60]], [[1, 28]], [[1, 36]], [[1, 4]], [[1, 52]], [[-1, 16]], 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  • id: 30495537
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  • id: 30495538
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  • id: 30495539
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 233, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p25', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[-1, 17]], [[1, 51]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[-1, 34]], [[1, 34]], [[-1, 52]], [[1, 24]], [[-1, 12]], [[-1, 28]], [[-1, 36]], [[1, 40]], [[-1, 4]], [[1, 48]], [[1, 32]], [[-1, 60]], [[-1, 20]], [[1, 56]], [[1, 8]], [[-1, 44]], [[1, 64]], [[1, 16]], [[-1, 51]], [[1, 17]], [[1, 51]], [[-1, 17]], [[-1, 48]], [[1, 36]], [[1, 52]], [[-1, 24]], [[-1, 64]], [[-1, 8]], [[1, 28]], [[1, 4]], [[1, 44]], [[1, 20]], [[-1, 56]], [[1, 12]], 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  • id: 30495540
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  • id: 30495541
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  • id: 30495542
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 236, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p28', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[-1, 52]], [[1, 24]], [[-1, 12]], [[-1, 28]], [[-1, 36]], [[1, 40]], [[-1, 4]], [[1, 48]], [[1, 32]], [[-1, 60]], [[-1, 20]], [[1, 56]], [[1, 8]], [[-1, 44]], [[1, 64]], [[1, 16]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 48]], [[1, 36]], [[1, 52]], [[-1, 24]], [[-1, 64]], [[-1, 8]], [[1, 28]], [[1, 4]], [[1, 44]], [[1, 20]], [[-1, 56]], [[1, 12]], 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  • id: 30495543
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  • id: 30495515
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  • id: 30495544
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 238, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p30', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[1, 8]], [[1, 56]], [[-1, 28]], [[-1, 20]], [[1, 16]], [[1, 48]], [[1, 32]], [[-1, 44]], [[-1, 52]], [[-1, 4]], [[1, 24]], [[1, 40]], [[1, 64]], [[-1, 12]], [[-1, 36]], [[-1, 60]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[1, 44]], [[-1, 16]], [[-1, 8]], [[-1, 56]], [[1, 36]], [[-1, 64]], [[1, 20]], [[-1, 32]], [[1, 12]], [[-1, 24]], [[-1, 40]], [[1, 28]], 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  • id: 30495545
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  • id: 30495547
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  • id: 30495548
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 241, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p33', 'nt': [136, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 0]], [[1, 17]], [[-1, 51]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 51]], [[1, 17]], [[-1, 17]], [[-1, 34]], [[1, 34]], [[-1, 4]], [[-1, 28]], [[1, 48]], [[-1, 44]], [[1, 8]], [[1, 24]], [[1, 16]], [[1, 56]], [[-1, 60]], [[-1, 36]], [[-1, 12]], [[-1, 20]], [[1, 32]], [[1, 40]], [[-1, 52]], [[1, 64]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-1, 56]], [[-1, 8]], [[1, 4]], [[1, 28]], [[1, 52]], [[-1, 32]], [[1, 44]], [[-1, 16]], [[-1, 40]], [[1, 12]], [[1, 20]], [[-1, 48]], 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  • id: 30495549
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  • id: 30495550
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  • id: 30495551
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  • id: 30495552
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  • id: 30495553
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  • id: 30495554
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  • id: 30495516
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  • id: 30495555
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  • id: 30495556
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  • id: 30495558
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  • id: 30495559
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  • id: 30495560
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  • id: 30495561
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  • id: 30495562
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  • id: 30495563
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  • id: 30495564
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  • id: 30495565
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  • id: 30495517
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  • id: 30495566
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  • id: 30495567
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  • id: 30495569
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  • id: 30495570
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  • id: 30495571
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  • id: 30495572
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  • id: 30495573
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  • id: 30495574
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  • id: 30495575
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  • id: 30495576
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  • id: 30495518
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  • id: 30495577
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  • id: 30495578
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  • id: 30495580
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  • id: 30495581
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  • id: 30495582
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  • id: 30495519
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  • id: 30495520
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 816, 'counter': 216, 'cyclotomic_n': 136, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '136.2', 'image_order': 136, 'indicator': 0, 'kernel': '136.b1.a1', 'kernel_order': 6, 'label': '816.49.1p8', 'nt': [136, 64], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 34]], [[-1, 34]], [[1, 34]], [[-1, 34]], [[-1, 0]], [[1, 51]], [[-1, 17]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 17]], [[1, 51]], [[-1, 51]], [[1, 34]], [[-1, 34]], [[-1, 12]], [[1, 16]], [[1, 8]], [[1, 64]], [[1, 24]], [[-1, 4]], [[1, 48]], [[1, 32]], [[-1, 44]], [[1, 40]], [[-1, 36]], [[-1, 60]], [[-1, 28]], [[-1, 52]], [[-1, 20]], [[1, 56]], [[1, 17]], [[-1, 51]], [[-1, 17]], [[1, 51]], [[-1, 32]], [[-1, 24]], [[1, 12]], [[-1, 16]], [[1, 20]], [[1, 28]], [[-1, 64]], [[-1, 48]], [[1, 52]], [[1, 36]], [[1, 60]], [[-1, 8]], 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  • id: 30495521
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  • id: 30495585
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  • id: 30495592
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  • id: 30495602
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  • id: 30495603
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  • id: 30495604
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  • id: 30495605
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  • id: 30495606
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  • id: 30495607
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  • id: 30495608
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  • id: 30495593
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  • id: 30495594
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  • id: 30495595
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  • id: 30495596
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  • id: 30495597
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  • id: 30495598
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  • id: 30495599
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  • id: 30495600
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  • id: 30495609
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  • id: 30495620
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  • id: 30495621
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  • id: 30495622
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  • id: 30495623
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  • id: 30495625
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  • id: 30495626
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  • id: 30495627
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  • id: 30495610
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  • id: 30495611
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  • id: 30495614
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  • id: 30495615
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  • id: 30495616
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  • id: 30495617
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  • id: 30495618
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  • id: 30495619
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  • id: 30495628
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  • id: 30495638
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  • id: 30495639
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  • id: 30495640
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  • id: 30495641
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  • id: 30495642
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  • id: 30495643
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  • id: 30495644
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  • id: 30495645
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  • id: 30495647
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  • id: 30495648
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  • id: 30495629
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  • id: 30495649
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  • id: 30495650
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  • id: 30495651
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  • id: 30495652
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  • id: 30495653
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  • id: 30495654
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  • id: 30495655
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  • id: 30495656
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  • id: 30495658
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  • id: 30495659
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  • id: 30495630
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  • id: 30495660
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  • id: 30495661
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  • id: 30495662
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  • id: 30495631
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  • id: 30495632
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  • id: 30495633
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  • id: 30495634
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  • id: 30495636
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  • id: 30495637
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  • id: 30495663
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  • id: 30495673
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  • id: 30495674
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  • id: 30495675
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  • id: 30495676
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  • id: 30495677
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  • id: 30495678
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  • id: 30495680
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  • id: 30495681
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  • id: 30495683
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  • id: 30495664
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  • id: 30495684
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  • id: 30495685
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  • id: 30495686
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  • id: 30495687
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  • id: 30495688
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  • id: 30495689
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  • id: 30495691
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  • id: 30495692
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  • id: 30495693
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  • id: 30495694
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  • id: 30495665
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  • id: 30495695
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  • id: 30495696
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  • id: 30495697
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  • id: 30495698
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  • id: 30495699
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  • id: 30495700
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  • id: 30495702
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  • id: 30495703
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  • id: 30495704
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  • id: 30495705
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  • id: 30495666
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  • id: 30495706
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  • id: 30495707
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  • id: 30495708
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  • id: 30495709
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  • id: 30495710
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  • id: 30495711
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  • id: 30495713
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  • id: 30495714
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  • id: 30495715
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  • id: 30495716
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  • id: 30495667
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  • id: 30495717
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  • id: 30495718
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  • id: 30495719
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  • id: 30495720
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  • id: 30495721
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  • id: 30495722
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  • id: 30495725
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  • id: 30495726
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  • id: 30495727
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  • id: 30495728
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  • id: 30495669
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  • id: 30495729
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  • id: 30495730
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  • id: 30495731
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  • id: 30495732
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  • id: 30495733
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  • id: 30495670
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  • id: 30495671
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 136, 'counter': 352, 'cyclotomic_n': 136, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '816.49', 'image_order': 816, 'indicator': 0, 'kernel': '816.a1.a1', 'kernel_order': 1, 'label': '816.49.2h8', 'nt': [408, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 34]], [[-2, 34]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 51]], [[-2, 17]], [[2, 17]], [[-2, 51]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 34]], [[1, 34]], [[-2, 12]], [[2, 16]], [[2, 8]], [[2, 64]], [[2, 24]], [[-2, 4]], [[2, 48]], [[2, 32]], [[-2, 44]], [[2, 40]], [[-2, 36]], [[-2, 60]], [[-2, 28]], [[-2, 52]], [[-2, 20]], [[2, 56]], [[-1, 17]], [[1, 51]], [[1, 17]], [[-1, 51]], [[-2, 32]], [[-2, 24]], [[2, 12]], [[-2, 16]], [[2, 20]], [[2, 28]], [[-2, 64]], [[-2, 48]], [[2, 52]], [[2, 36]], [[2, 60]], [[-2, 8]], [[-2, 40]], [[2, 4]], [[-2, 56]], [[2, 44]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 24]], [[1, 28]], [[1, 4]], [[1, 20]], [[-1, 48]], [[-1, 32]], [[-1, 16]], [[1, 36]], [[1, 60]], [[1, 52]], [[-1, 8]], [[1, 44]], [[-1, 56]], [[-1, 64]], [[1, 12]], [[-1, 40]], [[2, 42]], [[2, 26]], [[-2, 18]], [[2, 14]], [[-2, 6]], [[-2, 22]], [[-2, 46]], [[2, 54]], [[2, 38]], [[-2, 66]], [[2, 58]], [[2, 46]], [[-2, 62]], [[-2, 2]], [[2, 6]], [[2, 66]], [[-2, 50]], [[-2, 54]], [[2, 62]], [[-2, 42]], [[-2, 58]], [[2, 50]], [[2, 18]], [[2, 2]], [[-2, 10]], [[2, 22]], [[-2, 30]], [[-2, 38]], [[2, 10]], [[-2, 26]], [[2, 30]], [[-2, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 32]], [[1, 48]], [[-1, 60]], [[1, 8]], [[1, 24]], [[-1, 20]], [[-1, 4]], [[-1, 36]], [[1, 56]], [[1, 16]], [[-1, 12]], [[1, 64]], [[1, 40]], [[-1, 52]], [[-1, 28]], [[-1, 44]], [[2, 37]], [[-2, 1]], [[2, 65]], [[2, 39]], [[2, 63]], [[-2, 21]], [[-2, 53]], [[-2, 57]], [[2, 67]], [[2, 7]], [[2, 41]], [[2, 9]], [[-2, 45]], [[-2, 49]], [[-2, 25]], [[-2, 47]], [[2, 19]], [[-2, 29]], [[-2, 7]], [[2, 53]], [[2, 49]], [[-2, 13]], [[2, 55]], [[-2, 11]], [[2, 3]], [[-2, 55]], [[-2, 23]], [[2, 43]], [[2, 21]], [[2, 45]], [[-2, 37]], [[-2, 5]], [[2, 47]], [[-2, 3]], [[-2, 63]], [[2, 15]], [[2, 25]], [[-2, 67]], [[-2, 43]], [[2, 1]], [[2, 5]], [[-2, 41]], [[2, 33]], [[-2, 39]], [[2, 27]], [[2, 59]], [[2, 29]], [[2, 61]], [[2, 57]], [[2, 31]], [[-2, 59]], [[-2, 19]], [[2, 11]], [[-2, 15]], [[2, 23]], [[-2, 27]], [[-2, 35]], [[-2, 61]], [[-2, 65]], [[-2, 33]], [[-2, 9]], [[-2, 31]], [[2, 35]], [[2, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6]], [[1, 50]], [[1, 38]], [[-1, 50]], [[-1, 46]], [[1, 26]], [[1, 42]], [[-1, 2]], [[1, 46]], [[1, 18]], [[1, 58]], [[1, 2]], [[-1, 22]], [[1, 30]], [[1, 14]], [[-1, 58]], [[1, 10]], [[1, 54]], [[-1, 42]], [[-1, 26]], [[-1, 6]], [[-1, 54]], [[-1, 62]], [[-1, 14]], [[-1, 66]], [[-1, 10]], [[-1, 30]], [[1, 66]], [[-1, 38]], [[-1, 18]], [[1, 62]], [[1, 22]], [[-1, 5]], [[-1, 61]], [[1, 25]], [[1, 23]], [[-1, 47]], [[1, 29]], [[-1, 63]], [[1, 47]], [[-1, 35]], [[1, 7]], [[-1, 23]], [[1, 5]], [[-1, 45]], [[-1, 13]], [[-1, 65]], [[-1, 49]], [[1, 49]], [[1, 61]], [[1, 35]], [[-1, 11]], [[1, 31]], [[-1, 43]], [[1, 59]], [[-1, 53]], [[-1, 29]], [[1, 65]], [[1, 1]], [[1, 33]], [[1, 53]], [[1, 3]], [[1, 55]], [[-1, 41]], [[-1, 67]], [[-1, 15]], [[-1, 9]], [[1, 27]], [[-1, 55]], [[1, 39]], [[-1, 27]], [[-1, 59]], [[-1, 31]], [[1, 13]], [[1, 11]], [[1, 63]], [[-1, 7]], [[-1, 57]], [[1, 37]], [[-1, 33]], [[1, 67]], [[-1, 25]], [[1, 43]], [[-1, 19]], [[1, 15]], [[-1, 39]], [[1, 21]], [[-1, 37]], [[-1, 21]], [[1, 57]], [[1, 9]], [[1, 41]], [[-1, 1]], [[1, 19]], [[-1, 3]], [[1, 45]]]}
  • id: 30495672
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 136, 'counter': 353, 'cyclotomic_n': 136, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 1], 'group': '816.49', 'group_counter': 49, 'group_order': 816, 'image': None, 'image_isoclass': '816.49', 'image_order': 816, 'indicator': 0, 'kernel': '816.a1.a1', 'kernel_order': 1, 'label': '816.49.2h9', 'nt': [408, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 34]], [[2, 34]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 17]], [[2, 51]], [[-2, 51]], [[2, 17]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 34]], [[-1, 34]], [[-2, 20]], [[-2, 4]], [[-2, 36]], [[2, 16]], [[2, 40]], [[-2, 52]], [[-2, 12]], [[2, 8]], [[-2, 28]], [[-2, 44]], [[-2, 60]], [[2, 32]], [[2, 24]], [[2, 64]], [[2, 56]], [[2, 48]], [[1, 51]], [[-1, 17]], [[-1, 51]], [[1, 17]], [[-2, 8]], [[-2, 40]], [[2, 20]], [[2, 4]], [[-2, 56]], [[-2, 24]], [[-2, 16]], [[2, 12]], [[-2, 64]], [[2, 60]], [[-2, 32]], [[2, 36]], [[2, 44]], [[2, 52]], [[-2, 48]], [[2, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 40]], [[-1, 24]], [[1, 52]], [[-1, 56]], [[1, 12]], [[-1, 8]], [[1, 4]], [[1, 60]], [[-1, 32]], [[-1, 64]], [[1, 36]], [[1, 28]], [[-1, 48]], [[-1, 16]], [[1, 20]], [[1, 44]], [[-2, 2]], [[-2, 66]], [[-2, 30]], [[-2, 46]], [[-2, 10]], [[2, 14]], [[2, 54]], [[-2, 22]], [[2, 18]], [[2, 42]], [[2, 6]], [[-2, 54]], [[-2, 58]], [[2, 26]], [[2, 10]], [[-2, 42]], [[-2, 38]], [[2, 22]], [[2, 58]], [[2, 2]], [[-2, 6]], [[2, 38]], [[2, 30]], [[-2, 26]], [[-2, 62]], [[-2, 14]], [[-2, 50]], [[-2, 18]], [[2, 62]], [[2, 66]], [[2, 50]], [[2, 46]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[-1, 12]], [[1, 32]], [[-1, 36]], [[1, 40]], [[1, 56]], [[-1, 52]], [[-1, 60]], [[1, 48]], [[-1, 4]], [[-1, 20]], [[1, 16]], [[-1, 44]], [[1, 64]], [[1, 24]], [[-1, 28]], [[-2, 39]], [[-2, 47]], [[2, 63]], [[2, 65]], [[-2, 37]], [[-2, 35]], [[-2, 43]], [[2, 27]], [[2, 21]], [[2, 57]], [[2, 23]], [[2, 15]], [[2, 7]], [[2, 59]], [[2, 19]], [[-2, 33]], [[-2, 9]], [[-2, 3]], [[-2, 57]], [[2, 43]], [[-2, 59]], [[-2, 67]], [[2, 1]], [[2, 41]], [[2, 5]], [[-2, 1]], [[2, 61]], [[-2, 49]], [[2, 35]], [[-2, 7]], [[2, 39]], [[2, 31]], [[2, 33]], [[-2, 5]], [[2, 37]], [[2, 25]], [[-2, 19]], [[-2, 21]], [[2, 49]], [[2, 47]], [[-2, 31]], [[-2, 23]], [[2, 55]], [[-2, 65]], [[2, 45]], [[2, 53]], [[2, 3]], [[2, 11]], [[-2, 27]], [[-2, 29]], [[-2, 53]], [[2, 9]], [[-2, 41]], [[-2, 25]], [[-2, 61]], [[-2, 45]], [[-2, 13]], [[-2, 11]], [[-2, 63]], [[-2, 55]], [[-2, 15]], [[2, 29]], [[2, 13]], [[2, 67]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 10]], [[1, 38]], [[1, 18]], [[-1, 38]], [[1, 54]], [[-1, 66]], [[-1, 2]], [[1, 26]], [[-1, 54]], [[1, 30]], [[1, 6]], [[-1, 26]], [[1, 14]], [[1, 50]], [[-1, 46]], [[-1, 6]], [[1, 62]], [[-1, 22]], [[1, 2]], [[1, 66]], [[-1, 10]], [[1, 22]], [[-1, 58]], [[1, 46]], [[1, 42]], [[-1, 62]], [[-1, 50]], [[-1, 42]], [[-1, 18]], [[-1, 30]], [[1, 58]], [[-1, 14]], [[1, 31]], [[-1, 11]], [[-1, 19]], [[-1, 61]], [[-1, 33]], [[1, 3]], [[1, 37]], [[1, 33]], [[-1, 13]], [[1, 57]], [[1, 61]], [[-1, 31]], [[1, 7]], [[-1, 67]], [[-1, 63]], [[1, 59]], [[-1, 59]], [[1, 11]], [[1, 13]], [[1, 41]], [[-1, 29]], [[1, 49]], [[1, 53]], [[-1, 43]], [[-1, 3]], [[1, 63]], [[1, 47]], [[1, 55]], [[1, 43]], [[1, 5]], [[1, 1]], [[-1, 23]], [[-1, 21]], [[-1, 25]], [[-1, 15]], [[1, 45]], [[-1, 1]], [[1, 65]], [[-1, 45]], [[-1, 53]], [[1, 29]], [[1, 67]], [[-1, 41]], [[-1, 37]], [[-1, 57]], [[1, 27]], [[-1, 39]], [[-1, 55]], [[1, 21]], [[1, 19]], [[-1, 49]], [[1, 9]], [[1, 25]], [[-1, 65]], [[1, 35]], [[1, 39]], [[-1, 35]], [[-1, 27]], [[1, 15]], [[1, 23]], [[-1, 47]], [[-1, 9]], [[-1, 5]], [[-1, 7]]]}
• 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: 111055315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 136, 'characteristic': True, 'core_order': 816, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 102, 'label': '816.49.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '816.49', 'subgroup_hash': 49, 'subgroup_order': 816, 'subgroup_tex': 'S_3\\times C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 111055326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 408, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.21', 'subgroup_hash': 21, 'subgroup_order': 408, 'subgroup_tex': 'S_3\\times C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 111055337
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 408, 'counter': 3, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
  • id: 111055348
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 408, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '408.1', 'subgroup_hash': 1, 'subgroup_order': 408, 'subgroup_tex': 'C_3:C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 111055354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 136, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 34, 'label': '816.49.3.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': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 111055355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 204, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.10', 'subgroup_hash': 10, 'subgroup_order': 204, 'subgroup_tex': 'S_3\\times C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 111055356
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 204, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
  • id: 111055357
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 204, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.1', 'subgroup_hash': 1, 'subgroup_order': 204, 'subgroup_tex': 'C_3:C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 111055358
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 136, 'counter': 9, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '816.49.6.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': True, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 111055316
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 68, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '816.49.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 111055317
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 68, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
  • id: 111055318
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 102, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
  • id: 111055319
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': False, 'core_order': 102, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '816.49.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '102.1', 'subgroup_hash': 1, 'subgroup_order': 102, 'subgroup_tex': 'S_3\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 111055320
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': False, 'core_order': 102, 'counter': 14, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '816.49.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '102.1', 'subgroup_hash': 1, 'subgroup_order': 102, 'subgroup_tex': 'S_3\\times C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 111055321
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 68, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 111055322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 34, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '816.49.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 111055323
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 34, 'counter': 17, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 111055324
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 51, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 51, 'label': '816.49.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '51.1', 'subgroup_hash': 1, 'subgroup_order': 51, 'subgroup_tex': 'C_{51}', 'supersolvable': True, 'sylow': 0}
  • id: 111055325
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 48, 'counter': 19, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '816.49.17.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '17.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '17.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 17, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111055327
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 34, 'counter': 20, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 111055328
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 17, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 111055329
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 17, 'counter': 22, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1.b1', '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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 111055330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 24, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 111055331
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 24, 'counter': 24, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.34.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 111055332
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 24, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.34.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111055333
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 17, 'counter': 26, 'cyclic': True, 'direct': True, 'hall': 17, 'label': '816.49.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 111055334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 8, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '816.49.51.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '51.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': 51, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 2}
  • id: 111055335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 12, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.68.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 111055336
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 12, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.68.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 111055338
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': True, 'core_order': 12, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '816.49.68.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111055339
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 8, 'counter': 31, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '816.49.102.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '102.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111055340
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 4, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '816.49.102.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 102, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111055341
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 4, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.102.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 102, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 111055342
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 6, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.136.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 111055343
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': False, 'core_order': 6, 'counter': 35, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '816.49.136.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{136}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 111055344
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': True, 'centralizer_order': 136, 'characteristic': False, 'core_order': 6, 'counter': 36, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '816.49.136.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{136}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 111055345
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 4, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.204.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111055346
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 2, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '816.49.204.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 204, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 111055347
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 2, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.204.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 204, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 111055349
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 3, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '816.49.272.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '272.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{136}', 'simple': 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: 111055350
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 2, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '816.49.408.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '408.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.21', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{68}', 'simple': True, 'solvable': True, 'special_labels': [], '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: 111055351
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.408.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 408, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 111055352
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': False, 'central_factor': False, 'centralizer_order': 272, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '816.49.408.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.b1.b1', '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': 408, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 111055353
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '816.49', 'ambient_counter': 49, 'ambient_order': 816, 'ambient_tex': 'S_3\\times C_{136}', 'central': True, 'central_factor': False, 'centralizer_order': 816, 'characteristic': True, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '816.49.816.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '816.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '816.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 816, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{136}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C6'], '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: 111055341
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '102.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '34.c1.a1', '51.a1.a1'], 'contains': ['204.a1.a1'], 'core': '204.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [604, -1, 8261, -1, 7876, -1, 8788, -1], 'generators': [579], 'label': '816.49.102.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '34.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '102.c1.a1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055315
    {'ambient': '816.49', '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': ['816.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '3.a1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1446, 6361, 8480, 2187, 6455, 6109, 6498, 6537], 'generators': [204, 408, 544, 48, 102, 1], 'label': '816.49.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '17.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '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: 111055316
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.183', 'aut_weyl_index': 12, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '102.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3860, -1, 6316, -1, 5460, -1, 5942, -1], 'generators': [1, 204, 408, 48], 'label': '816.49.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055317
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.183', 'aut_weyl_index': 12, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '102.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [770, -1, 7780, -1, 7876, -1, 9726, -1], 'generators': [579, 48, 408, 612], 'label': '816.49.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055318
    {'ambient': '816.49', 'aut_centralizer_order': 24, 'aut_label': '8.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '136.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6418, 3181, 4045, 6207, 2128, 3767, 3027, 4568], 'generators': [408, 544, 48], 'label': '816.49.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '24.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055319
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.4', 'aut_weyl_index': 8, 'centralizer': '6.a1.a1', 'complements': ['102.a1.a1', '102.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.b1.a1', '136.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8634, 868, 1683, 9638, 559, 1389, 500, 2452], 'generators': [1, 48, 544], 'label': '816.49.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '136.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '48.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055320
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.4', 'aut_weyl_index': 8, 'centralizer': '6.a1.a1', 'complements': ['102.a1.a1', '102.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.b1.b1', '136.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8634, 868, 509, 7959, 559, 1389, 1624, 754], 'generators': [681, 48, 544], 'label': '816.49.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '136.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '48.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055321
    {'ambient': '816.49', 'aut_centralizer_order': 24, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 24, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '204.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2756, 8674, 7342, 2228, 7254, 7322, 7608, 7616], 'generators': [204, 48, 408], 'label': '816.49.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '204.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '12.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055322
    {'ambient': '816.49', 'aut_centralizer_order': 8, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.16', 'aut_weyl_index': 24, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '204.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6981, -1, 3373, -1, 3138, -1, 3929, -1], 'generators': [1, 408, 48], 'label': '816.49.12.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '24.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055323
    {'ambient': '816.49', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.16', 'aut_weyl_index': 24, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '204.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5076, -1, 5149, -1, 4831, -1, 5443, -1], 'generators': [341, 48, 408], 'label': '816.49.12.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '24.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055324
    {'ambient': '816.49', 'aut_centralizer_order': 24, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': ['51.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'contains': ['48.a1.a1', '272.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8658, 2373, 990, 7804, 1647, 3732, 1555, 2839], 'generators': [544, 48], 'label': '816.49.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.b1', '8.b1.a1'], 'normal_contains': ['48.a1.a1', '272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '48.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055325
    {'ambient': '816.49', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 16, 'centralizer': '6.a1.a1', 'complements': ['48.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1', '51.a1.a1'], 'core': '17.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1374, 6012, 9413, 1585, 6455, 5144, 6498, 5678], 'generators': [1, 544, 102, 204, 408], 'label': '816.49.17.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '17.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '102.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055326
    {'ambient': '816.49', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 2, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.b1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4393, 4338, 5594, 4777, 3674, 3390, 4512, 4117], 'generators': [408, 544, 48, 204, 1], 'label': '816.49.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055327
    {'ambient': '816.49', 'aut_centralizer_order': 48, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '408.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6378, 5723, 4357, 4912, 4210, 5615, 4957, 5385], 'generators': [408, 48], 'label': '816.49.24.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '408.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '24.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055328
    {'ambient': '816.49', 'aut_centralizer_order': 8, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.1', 'aut_weyl_index': 48, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.b1.a1'], 'contains': ['48.a1.a1', '408.b1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9023, -1, 2299, -1, 2330, -1, 2666, -1], 'generators': [1, 48], 'label': '816.49.24.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '48.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055329
    {'ambient': '816.49', 'aut_centralizer_order': 8, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.1', 'aut_weyl_index': 48, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.b1.a1'], 'contains': ['48.a1.a1', '408.b1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9023, -1, 1407, -1, 2330, -1, 3277, -1], 'generators': [681, 48], 'label': '816.49.24.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '48.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055330
    {'ambient': '816.49', 'aut_centralizer_order': 32, 'aut_label': '34.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 32, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['68.a1.a1', '68.b1.a1', '68.c1.a1', '102.b1.a1'], 'core': '34.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4313, 4180, 5778, 3949, 3549, 4885, 4235, 5448], 'generators': [1, 204, 408, 544], 'label': '816.49.34.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.a1.a1', 'normal_contained_in': ['2.a1.a1', '17.a1.a1'], 'normal_contains': ['68.a1.a1', '68.b1.a1', '68.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055331
    {'ambient': '816.49', 'aut_centralizer_order': 96, 'aut_label': '34.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': ['24.b1.a1', '24.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '102.a1.a1'], 'core': '34.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2217, 8469, 9109, 362, 7154, 8440, 6817, 8612], 'generators': [102, 544, 204, 408], 'label': '816.49.34.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.b1.a1', 'normal_contained_in': ['2.b1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1', '102.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.b1.a1', 'projective_image': '102.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055332
    {'ambient': '816.49', 'aut_centralizer_order': 32, 'aut_label': '34.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 32, 'centralizer': '6.a1.a1', 'complements': ['24.b1.a1', '24.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '102.c1.a1'], 'core': '34.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1502, 6928, 8267, 2373, 6455, 6227, 7442, 6642], 'generators': [579, 612, 408, 544], 'label': '816.49.34.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '34.c1.a1', 'normal_contained_in': ['2.c1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.c1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055333
    {'ambient': '816.49', 'aut_centralizer_order': 48, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': ['17.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'contains': ['816.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9476, 5325, 1224, 7057, 2928, 4673, 3193, 4526], 'generators': [48], 'label': '816.49.48.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['816.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.4', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055334
    {'ambient': '816.49', 'aut_centralizer_order': 32, 'aut_label': '51.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 96, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '17.a1.a1'], 'contains': ['102.a1.a1', '102.b1.a1', '102.c1.a1'], 'core': '102.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [524, -1, 9073, -1, 8784, -1, 8913, -1], 'generators': [1, 102], 'label': '816.49.51.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '17.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '51.a1.a1', 'projective_image': '102.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '51.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055335
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 64, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.b1.a1', '136.b1.b1', '204.b1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7467, 1916, 2886, 7627, 1468, 2766, 2437, 3677], 'generators': [1, 408, 544], 'label': '816.49.68.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': ['4.a1.a1', '34.a1.a1'], 'normal_contains': ['136.a1.a1', '136.b1.b1', '136.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.a1', 'projective_image': '408.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055336
    {'ambient': '816.49', 'aut_centralizer_order': 192, 'aut_label': '68.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'contains': ['136.a1.a1', '204.a1.a1'], 'core': '68.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3646, 7313, 6670, 2777, 5515, 6251, 6053, 6663], 'generators': [204, 544, 408], 'label': '816.49.68.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '68.b1.a1', 'normal_contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'normal_contains': ['136.a1.a1', '204.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.b1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055337
    {'ambient': '816.49', 'aut_centralizer_order': 6, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 6, 'centralizer': '2.b1.a1', 'complements': ['408.b1.a1', '408.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.a1.a1', '34.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2597, 8891, 9095, 1430, 7355, 8793, 5693, 8926], 'generators': [204, 408, 48, 544, 102], 'label': '816.49.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '6.a1.a1', '34.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055338
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '68.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 64, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '204.c1.a1'], 'core': '68.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5290, 3458, 4816, 5617, 4132, 4885, 4818, 5563], 'generators': [341, 408, 544], 'label': '816.49.68.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '68.c1.a1', 'normal_contained_in': ['4.c1.a1', '34.a1.a1'], 'normal_contains': ['136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.c1.a1', 'projective_image': '408.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055339
    {'ambient': '816.49', 'aut_centralizer_order': 192, 'aut_label': '102.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['8.b1.a1', '8.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '34.b1.a1', '51.a1.a1'], 'contains': ['204.a1.a1'], 'core': '102.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1485, 8542, 9491, 1078, 8606, 8440, 8164, 8612], 'generators': [102], 'label': '816.49.102.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '102.a1.a1', 'normal_contained_in': ['6.a1.a1', '34.b1.a1'], 'normal_contains': ['204.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.a1.a1', 'projective_image': '102.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '102.1', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '102.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055340
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '102.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 192, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '34.a1.a1', '51.a1.a1'], 'contains': ['204.a1.a1', '204.b1.a1', '204.c1.a1'], 'core': '204.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3923, -1, 6216, -1, 6385, -1, 6831, -1], 'generators': [1, 204], 'label': '816.49.102.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '34.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '102.b1.a1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055342
    {'ambient': '816.49', 'aut_centralizer_order': 384, 'aut_label': '136.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '68.a1.a1', '68.b1.a1', '68.c1.a1'], 'contains': ['272.a1.a1', '408.a1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5910, 2988, 3698, 6094, 2951, 4673, 3832, 4547], 'generators': [408, 544], 'label': '816.49.136.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '136.a1.a1', 'normal_contained_in': ['8.a1.a1', '68.a1.a1', '68.b1.a1', '68.c1.a1'], 'normal_contains': ['272.a1.a1', '408.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.a1.a1', 'projective_image': '408.21', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.2', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055343
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '136.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 128, 'centralizer': '6.a1.a1', 'complements': ['6.a1.a1', '6.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '68.a1.a1'], 'contains': ['272.a1.a1', '408.b1.a1'], 'core': '136.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7919, 1759, 2143, 8591, 1025, 2766, 1000, 3677], 'generators': [1, 544], 'label': '816.49.136.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.b1.a1', 'normal_contained_in': ['8.b1.a1', '68.a1.a1'], 'normal_contains': ['272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.b1.a1', 'projective_image': '816.49', 'quotient_action_image': '1.1', 'quotient_action_kernel': '136.2', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '136.b1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055344
    {'ambient': '816.49', 'aut_centralizer_order': 64, 'aut_label': '136.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 128, 'centralizer': '6.a1.a1', 'complements': ['6.a1.a1', '6.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '68.a1.a1'], 'contains': ['272.a1.a1', '408.b1.b1'], 'core': '136.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7919, 1759, 877, 7845, 1025, 2766, 2110, 2001], 'generators': [681, 544], 'label': '816.49.136.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '136.b1.b1', 'normal_contained_in': ['8.b1.b1', '68.a1.a1'], 'normal_contains': ['272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.b1.b1', 'projective_image': '816.49', 'quotient_action_image': '1.1', 'quotient_action_kernel': '136.2', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '136.b1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055345
    {'ambient': '816.49', 'aut_centralizer_order': 384, 'aut_label': '204.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '68.b1.a1', '102.a1.a1', '102.b1.a1', '102.c1.a1'], 'contains': ['408.a1.a1'], 'core': '204.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2954, 7951, 7179, 1906, 6819, 6945, 7219, 7135], 'generators': [204], 'label': '816.49.204.a1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '204.a1.a1', 'normal_contained_in': ['12.a1.a1', '68.b1.a1', '102.a1.a1'], 'normal_contains': ['408.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.a1.a1', 'projective_image': '204.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '204.10', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '204.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055346
    {'ambient': '816.49', 'aut_centralizer_order': 128, 'aut_label': '204.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '68.a1.a1', '102.b1.a1'], 'contains': ['408.a1.a1', '408.b1.a1', '408.b1.b1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6862, -1, 3168, -1, 3549, -1, 4367, -1], 'generators': [1, 408], 'label': '816.49.204.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '204.b1.a1', 'projective_image': '408.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055347
    {'ambient': '816.49', 'aut_centralizer_order': 128, 'aut_label': '204.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '68.c1.a1', '102.b1.a1'], 'contains': ['408.a1.a1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4853, -1, 5134, -1, 4831, -1, 5512, -1], 'generators': [341], 'label': '816.49.204.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '68.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '204.c1.a1', 'projective_image': '408.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055348
    {'ambient': '816.49', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 2, 'centralizer': '6.a1.a1', 'complements': ['408.b1.a1', '408.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '6.c1.a1', '34.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1446, 7060, 7560, 2933, 5173, 7086, 7643, 7407], 'generators': [408, 544, 612, 48, 579], 'label': '816.49.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '34.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055349
    {'ambient': '816.49', 'aut_centralizer_order': 384, 'aut_label': '272.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '136.a1.a1', '136.b1.a1', '136.b1.b1'], 'contains': ['816.a1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7625, 2699, 623, 7845, 1701, 3732, 2110, 3677], 'generators': [544], 'label': '816.49.272.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '272.a1.a1', 'normal_contained_in': ['16.a1.a1', '136.a1.a1', '136.b1.b1', '136.b1.a1'], 'normal_contains': ['816.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.a1.a1', 'projective_image': '816.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.2', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055350
    {'ambient': '816.49', 'aut_centralizer_order': 768, 'aut_label': '408.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '136.a1.a1', '204.a1.a1', '204.b1.a1', '204.c1.a1'], 'contains': ['816.a1.a1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6211, 6073, 4123, 5016, 3573, 5615, 4658, 5375], 'generators': [408], 'label': '816.49.408.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '408.a1.a1', 'normal_contained_in': ['24.a1.a1', '136.a1.a1', '204.a1.a1'], 'normal_contains': ['816.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.a1.a1', 'projective_image': '408.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '408.21', 'quotient_action_kernel_order': 408, 'quotient_fusion': None, 'short_label': '408.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055351
    {'ambient': '816.49', 'aut_centralizer_order': 128, 'aut_label': '408.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '136.b1.a1', '204.b1.a1'], 'contains': ['816.a1.a1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8062, -1, 2433, -1, 2307, -1, 2638, -1], 'generators': [1], 'label': '816.49.408.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '408.b1.a1', 'projective_image': '816.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055352
    {'ambient': '816.49', 'aut_centralizer_order': 128, 'aut_label': '408.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 768, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '136.b1.b1', '204.b1.a1'], 'contains': ['816.a1.a1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8062, -1, 1761, -1, 2307, -1, 3749, -1], 'generators': [681], 'label': '816.49.408.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '136.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '408.b1.b1', 'projective_image': '816.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055353
    {'ambient': '816.49', 'aut_centralizer_order': None, 'aut_label': '816.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': ['48.a1.a1', '272.a1.a1', '408.a1.a1', '408.b1.a1', '408.b1.b1'], 'contains': [], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7848, 5325, 1761, 7057, 2617, 4673, 3193, 4526], 'generators': [], 'label': '816.49.816.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '816.a1.a1', 'normal_contained_in': ['48.a1.a1', '272.a1.a1', '408.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '816.a1.a1', 'projective_image': '816.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 111055354
    {'ambient': '816.49', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 6, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '51.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [611, -1, 8480, -1, 8404, -1, 8913, -1], 'generators': [204, 408, 48, 102, 1], 'label': '816.49.3.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: 111055355
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.458', 'aut_weyl_index': 4, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.b1.a1', '68.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6998, 1422, 2787, 7316, 885, 848, 1854, 1854], 'generators': [1, 408, 544, 48], 'label': '816.49.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.b1', '8.b1.a1', '68.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '24.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055356
    {'ambient': '816.49', 'aut_centralizer_order': 12, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 12, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '68.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3019, 7879, 6718, 3233, 4450, 7345, 5040, 7637], 'generators': [204, 544, 408, 48], 'label': '816.49.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 111055357
    {'ambient': '816.49', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.458', 'aut_weyl_index': 4, 'centralizer': '6.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.c1.a1', '68.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5584, 3566, 4512, 5472, 2268, 2943, 3089, 3719], 'generators': [341, 48, 544, 408], 'label': '816.49.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '68.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '24.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 111055358
    {'ambient': '816.49', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': ['136.b1.a1', '136.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '102.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1692, 9132, 9010, 1472, 9693, 9535, 8101, 9586], 'generators': [102, 48, 408, 204], 'label': '816.49.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '102.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'}