Abstract group data - 1568.267

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '56.8', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [42, 4, 12, 6, 2, 6, 6], 'aut_gens': [[1, 2, 28], [113, 22, 826], [393, 786, 1218], [393, 810, 322], [1121, 794, 322], [1191, 26, 756], [1009, 794, 1316], [57, 2, 1050]], 'aut_group': None, 'aut_hash': 1967663635867252092, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16128, 'aut_permdeg': 70, 'aut_perms': [1342402554922346378736873374983844855734470026251584902023162087464536019410743243539935062986135058, 5557199325465239523844285272055629701278089627231686778962052779757544224883175554504485375361603446, 11547697812294167838246622500959138752469304804273413508613158496775650754066740953232424313070658965, 210863925165882855564895035452839276746232152883203834164385342649268909974513057259055534766962797, 3695044074034620006310536068068861435952707385653230663463908217926870226551164692687261699208192001, 10286718950943256404220622846851721995138474162683587890327422534696968481447577965907783626346659987, 479301401331255676717298670104146775762579404651377924415894957991056228707516715280338220371094234], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [4, 2, 1, 2], [4, 28, 2, 1], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 18, 1], [8, 4, 2, 1], [8, 28, 2, 1], [14, 1, 6, 1], [14, 2, 3, 1], [14, 2, 6, 1], [14, 2, 18, 1], [14, 4, 3, 1], [14, 4, 18, 1], [28, 2, 6, 3], [28, 2, 36, 1], [28, 4, 3, 1], [28, 4, 18, 1], [28, 28, 12, 1], [56, 4, 12, 2], [56, 4, 72, 1], [56, 28, 12, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{14}.(C_6^2\\times D_4).C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '24.15', 'autcent_hash': 15, 'autcent_nilpotent': True, 'autcent_order': 24, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times C_6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '672.1266', 'autcentquo_hash': 1266, 'autcentquo_nilpotent': False, 'autcentquo_order': 672, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^4\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 28, 2], [7, 1, 6], [7, 2, 21], [8, 4, 2], [8, 28, 2], [14, 1, 6], [14, 2, 27], [14, 4, 21], [28, 2, 54], [28, 4, 21], [28, 28, 12], [56, 4, 96], [56, 28, 12]], 'center_label': '14.2', 'center_order': 14, 'central_product': True, 'central_quotient': '112.13', 'commutator_count': 1, 'commutator_label': '28.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '7.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 267, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['224.30', 1], ['7.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [4, 2, 1, 2], [4, 28, 1, 2], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 6, 3], [8, 4, 2, 1], [8, 28, 2, 1], [14, 1, 6, 1], [14, 2, 3, 1], [14, 2, 6, 4], [14, 4, 3, 1], [14, 4, 6, 3], [28, 2, 6, 3], [28, 2, 12, 3], [28, 4, 3, 1], [28, 4, 6, 3], [28, 28, 6, 2], [56, 4, 12, 8], [56, 28, 12, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 48, 'exponent': 56, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 7], 'faithful_reps': [[4, 0, 36]], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '196.10', 'hash': 267, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 28, 'inner_gen_orders': [2, 2, 28], 'inner_gens': [[1, 2, 378], [1, 2, 812], [463, 786, 28]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 112, 'inner_split': True, 'inner_tex': 'D_{14}:C_4', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 48, 'irrQ_dim': 48, 'irrR_degree': 8, 'irrep_stats': [[1, 56], [2, 182], [4, 49]], 'label': '1568.267', 'linC_count': 36, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 16, 'linQ_degree_count': 20, 'linQ_dim': 20, 'linQ_dim_count': 20, 'linR_count': 18, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C28.D28', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 28, 'number_characteristic_subgroups': 34, 'number_conjugacy_classes': 287, 'number_divisions': 45, 'number_normal_subgroups': 38, 'number_subgroup_autclasses': 77, 'number_subgroup_classes': 106, 'number_subgroups': 350, 'old_label': None, 'order': 1568, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 3], [4, 60], [7, 48], [8, 64], [14, 144], [28, 528], [56, 720]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6, 6], 'outer_gen_pows': [392, 0, 0, 0], 'outer_gens': [[393, 2, 28], [1, 2, 826], [1, 806, 1204], [1, 26, 154]], 'outer_group': '144.197', 'outer_hash': 197, 'outer_nilpotent': True, 'outer_order': 144, 'outer_permdeg': 14, 'outer_perms': [6227020800, 5040, 39916944, 362883], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_6^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 30, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 7], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 1], [6, 6], [12, 19], [24, 8], [48, 3]], 'representations': {'PC': {'code': 21533852380341418815807952932717139310058965, 'gens': [1, 2, 4], 'pres': [7, 2, 2, 7, 2, 2, 2, 7, 5488, 36, 10587, 11378, 80, 52924, 102, 61157, 124, 65862]}, 'Perm': {'d': 30, 'gens': [8865156130201232820359719292932, 2979643062695, 18621225732230635889760473088000, 4404290803109, 50350415795, 5807914735709, 27790492704163172295979290624000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 28], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{28}.D_{28}', 'transitive_degree': 112, '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: 120741642
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 267, 'group_order': 1568, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 120741753
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 267, 'group_order': 1568, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 784, 'size': 1}
  • id: 120741852
    {'aut_label': '2B', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 267, 'group_order': 1568, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 14, 'size': 2}
  • id: 120741863
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 4, 'group_counter': 267, 'group_order': 1568, 'label': '4A', 'order': 4, 'powers': [2, 4, 4], 'representative': 406, 'size': 2}
  • id: 120741874
    {'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 267, 'group_order': 1568, 'label': '4B', 'order': 4, 'powers': [2, 5, 5], 'representative': 392, 'size': 2}
  • id: 120741885
    {'aut_label': '4C', 'centralizer': '28.e1.a1', 'counter': 6, 'group_counter': 267, 'group_order': 1568, 'label': '4C', 'order': 4, 'powers': [2, 6, 6], 'representative': 785, 'size': 28}
  • id: 120741896
    {'aut_label': '4C', 'centralizer': '28.e1.b1', 'counter': 7, 'group_counter': 267, 'group_order': 1568, 'label': '4D', 'order': 4, 'powers': [2, 7, 7], 'representative': 841, 'size': 28}
  • id: 120741907
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 267, 'group_order': 1568, 'label': '7A1', 'order': 7, 'powers': [10, 12, 1], 'representative': 4, 'size': 1}
  • id: 120741918
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 267, 'group_order': 1568, 'label': '7A-1', 'order': 7, 'powers': [11, 13, 1], 'representative': 24, 'size': 1}
  • id: 120741643
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 267, 'group_order': 1568, 'label': '7A2', 'order': 7, 'powers': [13, 9, 1], 'representative': 8, 'size': 1}
  • id: 120741654
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 267, 'group_order': 1568, 'label': '7A-2', 'order': 7, 'powers': [12, 8, 1], 'representative': 20, 'size': 1}
  • id: 120741665
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 267, 'group_order': 1568, 'label': '7A3', 'order': 7, 'powers': [9, 10, 1], 'representative': 12, 'size': 1}
  • id: 120741676
    {'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 267, 'group_order': 1568, 'label': '7A-3', 'order': 7, 'powers': [8, 11, 1], 'representative': 16, 'size': 1}
  • id: 120741687
    {'aut_label': '7B1', 'centralizer': '2.b1.a1', 'counter': 14, 'group_counter': 267, 'group_order': 1568, 'label': '7B1', 'order': 7, 'powers': [15, 16, 1], 'representative': 448, 'size': 2}
  • id: 120741698
    {'aut_label': '7B1', 'centralizer': '2.b1.a1', 'counter': 15, 'group_counter': 267, 'group_order': 1568, 'label': '7B2', 'order': 7, 'powers': [16, 14, 1], 'representative': 896, 'size': 2}
  • id: 120741709
    {'aut_label': '7B1', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 267, 'group_order': 1568, 'label': '7B3', 'order': 7, 'powers': [14, 15, 1], 'representative': 1344, 'size': 2}
  • id: 120741720
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 267, 'group_order': 1568, 'label': '7C1', 'order': 7, 'powers': [19, 21, 1], 'representative': 452, 'size': 2}
  • id: 120741731
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 267, 'group_order': 1568, 'label': '7C-1', 'order': 7, 'powers': [20, 22, 1], 'representative': 1144, 'size': 2}
  • id: 120741742
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 267, 'group_order': 1568, 'label': '7C2', 'order': 7, 'powers': [22, 18, 1], 'representative': 904, 'size': 2}
  • id: 120741754
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 267, 'group_order': 1568, 'label': '7C-2', 'order': 7, 'powers': [21, 17, 1], 'representative': 692, 'size': 2}
  • id: 120741765
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 267, 'group_order': 1568, 'label': '7C3', 'order': 7, 'powers': [18, 19, 1], 'representative': 1356, 'size': 2}
  • id: 120741776
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 267, 'group_order': 1568, 'label': '7C-3', 'order': 7, 'powers': [17, 20, 1], 'representative': 240, 'size': 2}
  • id: 120741787
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 267, 'group_order': 1568, 'label': '7D1', 'order': 7, 'powers': [25, 27, 1], 'representative': 228, 'size': 2}
  • id: 120741798
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 267, 'group_order': 1568, 'label': '7D-1', 'order': 7, 'powers': [26, 28, 1], 'representative': 1368, 'size': 2}
  • id: 120741809
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 267, 'group_order': 1568, 'label': '7D2', 'order': 7, 'powers': [28, 24, 1], 'representative': 456, 'size': 2}
  • id: 120741820
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 267, 'group_order': 1568, 'label': '7D-2', 'order': 7, 'powers': [27, 23, 1], 'representative': 1140, 'size': 2}
  • id: 120741831
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 267, 'group_order': 1568, 'label': '7D3', 'order': 7, 'powers': [24, 25, 1], 'representative': 684, 'size': 2}
  • id: 120741842
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 267, 'group_order': 1568, 'label': '7D-3', 'order': 7, 'powers': [23, 26, 1], 'representative': 912, 'size': 2}
  • id: 120741851
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 267, 'group_order': 1568, 'label': '7E1', 'order': 7, 'powers': [31, 33, 1], 'representative': 900, 'size': 2}
  • id: 120741853
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 267, 'group_order': 1568, 'label': '7E-1', 'order': 7, 'powers': [32, 34, 1], 'representative': 696, 'size': 2}
  • id: 120741854
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 267, 'group_order': 1568, 'label': '7E2', 'order': 7, 'powers': [34, 30, 1], 'representative': 232, 'size': 2}
  • id: 120741855
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 267, 'group_order': 1568, 'label': '7E-2', 'order': 7, 'powers': [33, 29, 1], 'representative': 1364, 'size': 2}
  • id: 120741856
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 267, 'group_order': 1568, 'label': '7E3', 'order': 7, 'powers': [30, 31, 1], 'representative': 1132, 'size': 2}
  • id: 120741857
    {'aut_label': '7C1', 'centralizer': '2.b1.a1', 'counter': 34, 'group_counter': 267, 'group_order': 1568, 'label': '7E-3', 'order': 7, 'powers': [29, 32, 1], 'representative': 464, 'size': 2}
  • id: 120741858
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 35, 'group_counter': 267, 'group_order': 1568, 'label': '8A1', 'order': 8, 'powers': [5, 36, 36], 'representative': 196, 'size': 4}
  • id: 120741859
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 36, 'group_counter': 267, 'group_order': 1568, 'label': '8A-1', 'order': 8, 'powers': [5, 35, 35], 'representative': 1372, 'size': 4}
  • id: 120741860
    {'aut_label': '8B1', 'centralizer': '28.h1.a1', 'counter': 37, 'group_counter': 267, 'group_order': 1568, 'label': '8B1', 'order': 8, 'powers': [4, 38, 38], 'representative': 1219, 'size': 28}
  • id: 120741861
    {'aut_label': '8B1', 'centralizer': '28.h1.a1', 'counter': 38, 'group_counter': 267, 'group_order': 1568, 'label': '8B-1', 'order': 8, 'powers': [4, 37, 37], 'representative': 29, 'size': 28}
  • id: 120741862
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 267, 'group_order': 1568, 'label': '14A1', 'order': 14, 'powers': [13, 41, 2], 'representative': 792, 'size': 1}
  • id: 120741864
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 267, 'group_order': 1568, 'label': '14A-1', 'order': 14, 'powers': [12, 42, 2], 'representative': 804, 'size': 1}
  • id: 120741865
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 267, 'group_order': 1568, 'label': '14A3', 'order': 14, 'powers': [11, 44, 2], 'representative': 808, 'size': 1}
  • id: 120741866
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 267, 'group_order': 1568, 'label': '14A-3', 'order': 14, 'powers': [10, 43, 2], 'representative': 788, 'size': 1}
  • id: 120741867
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 267, 'group_order': 1568, 'label': '14A5', 'order': 14, 'powers': [9, 39, 2], 'representative': 796, 'size': 1}
  • id: 120741868
    {'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 267, 'group_order': 1568, 'label': '14A-5', 'order': 14, 'powers': [8, 40, 2], 'representative': 800, 'size': 1}
  • id: 120741869
    {'aut_label': '14B1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 267, 'group_order': 1568, 'label': '14B1', 'order': 14, 'powers': [16, 46, 2], 'representative': 112, 'size': 2}
  • id: 120741870
    {'aut_label': '14B1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 267, 'group_order': 1568, 'label': '14B3', 'order': 14, 'powers': [15, 47, 2], 'representative': 336, 'size': 2}
  • id: 120741871
    {'aut_label': '14B1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 267, 'group_order': 1568, 'label': '14B5', 'order': 14, 'powers': [14, 45, 2], 'representative': 560, 'size': 2}
  • id: 120741872
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 267, 'group_order': 1568, 'label': '14C1', 'order': 14, 'powers': [8, 50, 3], 'representative': 2, 'size': 2}
  • id: 120741873
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 267, 'group_order': 1568, 'label': '14C-1', 'order': 14, 'powers': [9, 51, 3], 'representative': 26, 'size': 2}
  • id: 120741875
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 267, 'group_order': 1568, 'label': '14C3', 'order': 14, 'powers': [12, 53, 3], 'representative': 6, 'size': 2}
  • id: 120741876
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 267, 'group_order': 1568, 'label': '14C-3', 'order': 14, 'powers': [13, 52, 3], 'representative': 22, 'size': 2}
  • id: 120741877
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 267, 'group_order': 1568, 'label': '14C5', 'order': 14, 'powers': [11, 48, 3], 'representative': 10, 'size': 2}
  • id: 120741878
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 267, 'group_order': 1568, 'label': '14C-5', 'order': 14, 'powers': [10, 49, 3], 'representative': 18, 'size': 2}
  • id: 120741879
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 267, 'group_order': 1568, 'label': '14D1', 'order': 14, 'powers': [31, 56, 2], 'representative': 116, 'size': 2}
  • id: 120741880
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 267, 'group_order': 1568, 'label': '14D-1', 'order': 14, 'powers': [32, 57, 2], 'representative': 1480, 'size': 2}
  • id: 120741881
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 267, 'group_order': 1568, 'label': '14D3', 'order': 14, 'powers': [30, 59, 2], 'representative': 348, 'size': 2}
  • id: 120741882
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 267, 'group_order': 1568, 'label': '14D-3', 'order': 14, 'powers': [29, 58, 2], 'representative': 1248, 'size': 2}
  • id: 120741883
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 267, 'group_order': 1568, 'label': '14D5', 'order': 14, 'powers': [33, 54, 2], 'representative': 580, 'size': 2}
  • id: 120741884
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 267, 'group_order': 1568, 'label': '14D-5', 'order': 14, 'powers': [34, 55, 2], 'representative': 1016, 'size': 2}
  • id: 120741886
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 267, 'group_order': 1568, 'label': '14E1', 'order': 14, 'powers': [25, 62, 2], 'representative': 564, 'size': 2}
  • id: 120741887
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 61, 'group_counter': 267, 'group_order': 1568, 'label': '14E-1', 'order': 14, 'powers': [26, 63, 2], 'representative': 1032, 'size': 2}
  • id: 120741888
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 267, 'group_order': 1568, 'label': '14E3', 'order': 14, 'powers': [24, 65, 2], 'representative': 124, 'size': 2}
  • id: 120741889
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 267, 'group_order': 1568, 'label': '14E-3', 'order': 14, 'powers': [23, 64, 2], 'representative': 1472, 'size': 2}
  • id: 120741890
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 267, 'group_order': 1568, 'label': '14E5', 'order': 14, 'powers': [27, 60, 2], 'representative': 1252, 'size': 2}
  • id: 120741891
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 267, 'group_order': 1568, 'label': '14E-5', 'order': 14, 'powers': [28, 61, 2], 'representative': 344, 'size': 2}
  • id: 120741892
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 267, 'group_order': 1568, 'label': '14F1', 'order': 14, 'powers': [19, 68, 2], 'representative': 340, 'size': 2}
  • id: 120741893
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 267, 'group_order': 1568, 'label': '14F-1', 'order': 14, 'powers': [20, 69, 2], 'representative': 1256, 'size': 2}
  • id: 120741894
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 267, 'group_order': 1568, 'label': '14F3', 'order': 14, 'powers': [18, 71, 2], 'representative': 1020, 'size': 2}
  • id: 120741895
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 267, 'group_order': 1568, 'label': '14F-3', 'order': 14, 'powers': [17, 70, 2], 'representative': 576, 'size': 2}
  • id: 120741897
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 267, 'group_order': 1568, 'label': '14F5', 'order': 14, 'powers': [21, 66, 2], 'representative': 132, 'size': 2}
  • id: 120741898
    {'aut_label': '14D1', 'centralizer': '2.b1.a1', 'counter': 71, 'group_counter': 267, 'group_order': 1568, 'label': '14F-5', 'order': 14, 'powers': [22, 67, 2], 'representative': 1464, 'size': 2}
  • id: 120741899
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 267, 'group_order': 1568, 'label': '14G1', 'order': 14, 'powers': [14, 73, 3], 'representative': 238, 'size': 4}
  • id: 120741900
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 267, 'group_order': 1568, 'label': '14G3', 'order': 14, 'powers': [16, 74, 3], 'representative': 126, 'size': 4}
  • id: 120741901
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 267, 'group_order': 1568, 'label': '14G5', 'order': 14, 'powers': [15, 72, 3], 'representative': 462, 'size': 4}
  • id: 120741902
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 267, 'group_order': 1568, 'label': '14H1', 'order': 14, 'powers': [17, 77, 3], 'representative': 226, 'size': 4}
  • id: 120741903
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 267, 'group_order': 1568, 'label': '14H-1', 'order': 14, 'powers': [18, 78, 3], 'representative': 250, 'size': 4}
  • id: 120741904
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 267, 'group_order': 1568, 'label': '14H3', 'order': 14, 'powers': [21, 80, 3], 'representative': 118, 'size': 4}
  • id: 120741905
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 267, 'group_order': 1568, 'label': '14H-3', 'order': 14, 'powers': [22, 79, 3], 'representative': 134, 'size': 4}
  • id: 120741906
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 267, 'group_order': 1568, 'label': '14H5', 'order': 14, 'powers': [20, 75, 3], 'representative': 458, 'size': 4}
  • id: 120741908
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 267, 'group_order': 1568, 'label': '14H-5', 'order': 14, 'powers': [19, 76, 3], 'representative': 466, 'size': 4}
  • id: 120741909
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 267, 'group_order': 1568, 'label': '14I1', 'order': 14, 'powers': [23, 83, 3], 'representative': 114, 'size': 4}
  • id: 120741910
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 82, 'group_counter': 267, 'group_order': 1568, 'label': '14I-1', 'order': 14, 'powers': [24, 84, 3], 'representative': 138, 'size': 4}
  • id: 120741911
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 83, 'group_counter': 267, 'group_order': 1568, 'label': '14I3', 'order': 14, 'powers': [27, 86, 3], 'representative': 454, 'size': 4}
  • id: 120741912
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 84, 'group_counter': 267, 'group_order': 1568, 'label': '14I-3', 'order': 14, 'powers': [28, 85, 3], 'representative': 470, 'size': 4}
  • id: 120741913
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 85, 'group_counter': 267, 'group_order': 1568, 'label': '14I5', 'order': 14, 'powers': [26, 81, 3], 'representative': 234, 'size': 4}
  • id: 120741914
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 86, 'group_counter': 267, 'group_order': 1568, 'label': '14I-5', 'order': 14, 'powers': [25, 82, 3], 'representative': 242, 'size': 4}
  • id: 120741915
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 87, 'group_counter': 267, 'group_order': 1568, 'label': '14J1', 'order': 14, 'powers': [29, 89, 3], 'representative': 450, 'size': 4}
  • id: 120741916
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 88, 'group_counter': 267, 'group_order': 1568, 'label': '14J-1', 'order': 14, 'powers': [30, 90, 3], 'representative': 474, 'size': 4}
  • id: 120741917
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 267, 'group_order': 1568, 'label': '14J3', 'order': 14, 'powers': [33, 92, 3], 'representative': 230, 'size': 4}
  • id: 120741919
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 267, 'group_order': 1568, 'label': '14J-3', 'order': 14, 'powers': [34, 91, 3], 'representative': 246, 'size': 4}
  • id: 120741920
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 267, 'group_order': 1568, 'label': '14J5', 'order': 14, 'powers': [32, 87, 3], 'representative': 122, 'size': 4}
  • id: 120741921
    {'aut_label': '14H1', 'centralizer': '4.a1.a1', 'counter': 92, 'group_counter': 267, 'group_order': 1568, 'label': '14J-5', 'order': 14, 'powers': [31, 88, 3], 'representative': 130, 'size': 4}
  • id: 120741922
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 267, 'group_order': 1568, 'label': '28A1', 'order': 28, 'powers': [45, 94, 5], 'representative': 56, 'size': 2}
  • id: 120741923
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 267, 'group_order': 1568, 'label': '28A3', 'order': 28, 'powers': [46, 96, 5], 'representative': 168, 'size': 2}
  • id: 120741924
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 267, 'group_order': 1568, 'label': '28A5', 'order': 28, 'powers': [47, 98, 5], 'representative': 280, 'size': 2}
  • id: 120741925
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 267, 'group_order': 1568, 'label': '28A9', 'order': 28, 'powers': [47, 93, 5], 'representative': 504, 'size': 2}
  • id: 120741926
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 267, 'group_order': 1568, 'label': '28A11', 'order': 28, 'powers': [46, 95, 5], 'representative': 616, 'size': 2}
  • id: 120741927
    {'aut_label': '28A1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 267, 'group_order': 1568, 'label': '28A13', 'order': 28, 'powers': [45, 97, 5], 'representative': 728, 'size': 2}
  • id: 120741928
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 267, 'group_order': 1568, 'label': '28B1', 'order': 28, 'powers': [44, 101, 5], 'representative': 1184, 'size': 2}
  • id: 120741644
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 267, 'group_order': 1568, 'label': '28B-1', 'order': 28, 'powers': [43, 102, 5], 'representative': 412, 'size': 2}
  • id: 120741645
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 267, 'group_order': 1568, 'label': '28B3', 'order': 28, 'powers': [40, 104, 5], 'representative': 416, 'size': 2}
  • id: 120741646
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 267, 'group_order': 1568, 'label': '28B-3', 'order': 28, 'powers': [39, 103, 5], 'representative': 1180, 'size': 2}
  • id: 120741647
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 103, 'group_counter': 267, 'group_order': 1568, 'label': '28B5', 'order': 28, 'powers': [41, 99, 5], 'representative': 1188, 'size': 2}
  • id: 120741648
    {'aut_label': '28B1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 267, 'group_order': 1568, 'label': '28B-5', 'order': 28, 'powers': [42, 100, 5], 'representative': 408, 'size': 2}
  • id: 120741649
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 105, 'group_counter': 267, 'group_order': 1568, 'label': '28C1', 'order': 28, 'powers': [44, 107, 4], 'representative': 1198, 'size': 2}
  • id: 120741650
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 106, 'group_counter': 267, 'group_order': 1568, 'label': '28C-1', 'order': 28, 'powers': [43, 108, 4], 'representative': 398, 'size': 2}
  • id: 120741651
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 107, 'group_counter': 267, 'group_order': 1568, 'label': '28C3', 'order': 28, 'powers': [40, 110, 4], 'representative': 402, 'size': 2}
  • id: 120741652
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 108, 'group_counter': 267, 'group_order': 1568, 'label': '28C-3', 'order': 28, 'powers': [39, 109, 4], 'representative': 1194, 'size': 2}
  • id: 120741653
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 109, 'group_counter': 267, 'group_order': 1568, 'label': '28C5', 'order': 28, 'powers': [41, 105, 4], 'representative': 1202, 'size': 2}
  • id: 120741655
    {'aut_label': '28C1', 'centralizer': '2.c1.a1', 'counter': 110, 'group_counter': 267, 'group_order': 1568, 'label': '28C-5', 'order': 28, 'powers': [42, 106, 4], 'representative': 394, 'size': 2}
  • id: 120741656
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 111, 'group_counter': 267, 'group_order': 1568, 'label': '28D1', 'order': 28, 'powers': [63, 113, 5], 'representative': 64, 'size': 2}
  • id: 120741657
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 112, 'group_counter': 267, 'group_order': 1568, 'label': '28D-1', 'order': 28, 'powers': [62, 114, 5], 'representative': 1532, 'size': 2}
  • id: 120741658
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 113, 'group_counter': 267, 'group_order': 1568, 'label': '28D3', 'order': 28, 'powers': [64, 117, 5], 'representative': 192, 'size': 2}
  • id: 120741659
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 114, 'group_counter': 267, 'group_order': 1568, 'label': '28D-3', 'order': 28, 'powers': [65, 118, 5], 'representative': 1404, 'size': 2}
  • id: 120741660
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 115, 'group_counter': 267, 'group_order': 1568, 'label': '28D5', 'order': 28, 'powers': [61, 122, 5], 'representative': 292, 'size': 2}
  • id: 120741661
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 116, 'group_counter': 267, 'group_order': 1568, 'label': '28D-5', 'order': 28, 'powers': [60, 121, 5], 'representative': 1304, 'size': 2}
  • id: 120741662
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 117, 'group_counter': 267, 'group_order': 1568, 'label': '28D9', 'order': 28, 'powers': [60, 112, 5], 'representative': 520, 'size': 2}
  • id: 120741663
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 118, 'group_counter': 267, 'group_order': 1568, 'label': '28D-9', 'order': 28, 'powers': [61, 111, 5], 'representative': 1076, 'size': 2}
  • id: 120741664
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 267, 'group_order': 1568, 'label': '28D11', 'order': 28, 'powers': [65, 115, 5], 'representative': 620, 'size': 2}
  • id: 120741666
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 267, 'group_order': 1568, 'label': '28D-11', 'order': 28, 'powers': [64, 116, 5], 'representative': 976, 'size': 2}
  • id: 120741667
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 267, 'group_order': 1568, 'label': '28D13', 'order': 28, 'powers': [62, 119, 5], 'representative': 748, 'size': 2}
  • id: 120741668
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 267, 'group_order': 1568, 'label': '28D-13', 'order': 28, 'powers': [63, 120, 5], 'representative': 848, 'size': 2}
  • id: 120741669
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 267, 'group_order': 1568, 'label': '28E1', 'order': 28, 'powers': [71, 125, 5], 'representative': 844, 'size': 2}
  • id: 120741670
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 267, 'group_order': 1568, 'label': '28E-1', 'order': 28, 'powers': [70, 126, 5], 'representative': 752, 'size': 2}
  • id: 120741671
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 267, 'group_order': 1568, 'label': '28E3', 'order': 28, 'powers': [67, 129, 5], 'representative': 964, 'size': 2}
  • id: 120741672
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 267, 'group_order': 1568, 'label': '28E-3', 'order': 28, 'powers': [66, 130, 5], 'representative': 632, 'size': 2}
  • id: 120741673
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 267, 'group_order': 1568, 'label': '28E5', 'order': 28, 'powers': [68, 134, 5], 'representative': 1084, 'size': 2}
  • id: 120741674
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 267, 'group_order': 1568, 'label': '28E-5', 'order': 28, 'powers': [69, 133, 5], 'representative': 512, 'size': 2}
  • id: 120741675
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 267, 'group_order': 1568, 'label': '28E9', 'order': 28, 'powers': [69, 124, 5], 'representative': 1296, 'size': 2}
  • id: 120741677
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 267, 'group_order': 1568, 'label': '28E-9', 'order': 28, 'powers': [68, 123, 5], 'representative': 300, 'size': 2}
  • id: 120741678
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 267, 'group_order': 1568, 'label': '28E11', 'order': 28, 'powers': [66, 127, 5], 'representative': 1416, 'size': 2}
  • id: 120741679
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 267, 'group_order': 1568, 'label': '28E-11', 'order': 28, 'powers': [67, 128, 5], 'representative': 180, 'size': 2}
  • id: 120741680
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 133, 'group_counter': 267, 'group_order': 1568, 'label': '28E13', 'order': 28, 'powers': [70, 131, 5], 'representative': 1536, 'size': 2}
  • id: 120741681
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 134, 'group_counter': 267, 'group_order': 1568, 'label': '28E-13', 'order': 28, 'powers': [71, 132, 5], 'representative': 60, 'size': 2}
  • id: 120741682
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 135, 'group_counter': 267, 'group_order': 1568, 'label': '28F1', 'order': 28, 'powers': [54, 137, 5], 'representative': 72, 'size': 2}
  • id: 120741683
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 136, 'group_counter': 267, 'group_order': 1568, 'label': '28F-1', 'order': 28, 'powers': [55, 138, 5], 'representative': 1524, 'size': 2}
  • id: 120741684
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 137, 'group_counter': 267, 'group_order': 1568, 'label': '28F3', 'order': 28, 'powers': [56, 141, 5], 'representative': 188, 'size': 2}
  • id: 120741685
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 138, 'group_counter': 267, 'group_order': 1568, 'label': '28F-3', 'order': 28, 'powers': [57, 142, 5], 'representative': 1408, 'size': 2}
  • id: 120741686
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 139, 'group_counter': 267, 'group_order': 1568, 'label': '28F5', 'order': 28, 'powers': [58, 146, 5], 'representative': 304, 'size': 2}
  • id: 120741688
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 140, 'group_counter': 267, 'group_order': 1568, 'label': '28F-5', 'order': 28, 'powers': [59, 145, 5], 'representative': 1292, 'size': 2}
  • id: 120741689
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 141, 'group_counter': 267, 'group_order': 1568, 'label': '28F9', 'order': 28, 'powers': [59, 136, 5], 'representative': 508, 'size': 2}
  • id: 120741690
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 142, 'group_counter': 267, 'group_order': 1568, 'label': '28F-9', 'order': 28, 'powers': [58, 135, 5], 'representative': 1088, 'size': 2}
  • id: 120741691
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 143, 'group_counter': 267, 'group_order': 1568, 'label': '28F11', 'order': 28, 'powers': [57, 139, 5], 'representative': 624, 'size': 2}
  • id: 120741692
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 144, 'group_counter': 267, 'group_order': 1568, 'label': '28F-11', 'order': 28, 'powers': [56, 140, 5], 'representative': 972, 'size': 2}
  • id: 120741693
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 145, 'group_counter': 267, 'group_order': 1568, 'label': '28F13', 'order': 28, 'powers': [55, 143, 5], 'representative': 740, 'size': 2}
  • id: 120741694
    {'aut_label': '28D1', 'centralizer': '2.b1.a1', 'counter': 146, 'group_counter': 267, 'group_order': 1568, 'label': '28F-13', 'order': 28, 'powers': [54, 144, 5], 'representative': 856, 'size': 2}
  • id: 120741695
    {'aut_label': '28G1', 'centralizer': '4.a1.a1', 'counter': 147, 'group_counter': 267, 'group_order': 1568, 'label': '28G1', 'order': 28, 'powers': [45, 148, 4], 'representative': 70, 'size': 4}
  • id: 120741696
    {'aut_label': '28G1', 'centralizer': '4.a1.a1', 'counter': 148, 'group_counter': 267, 'group_order': 1568, 'label': '28G3', 'order': 28, 'powers': [46, 149, 4], 'representative': 182, 'size': 4}
  • id: 120741697
    {'aut_label': '28G1', 'centralizer': '4.a1.a1', 'counter': 149, 'group_counter': 267, 'group_order': 1568, 'label': '28G5', 'order': 28, 'powers': [47, 147, 4], 'representative': 294, 'size': 4}
  • id: 120741699
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 150, 'group_counter': 267, 'group_order': 1568, 'label': '28H1', 'order': 28, 'powers': [54, 152, 4], 'representative': 58, 'size': 4}
  • id: 120741700
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 151, 'group_counter': 267, 'group_order': 1568, 'label': '28H-1', 'order': 28, 'powers': [55, 153, 4], 'representative': 82, 'size': 4}
  • id: 120741701
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 152, 'group_counter': 267, 'group_order': 1568, 'label': '28H3', 'order': 28, 'powers': [56, 155, 4], 'representative': 174, 'size': 4}
  • id: 120741702
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 153, 'group_counter': 267, 'group_order': 1568, 'label': '28H-3', 'order': 28, 'powers': [57, 154, 4], 'representative': 190, 'size': 4}
  • id: 120741703
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 154, 'group_counter': 267, 'group_order': 1568, 'label': '28H5', 'order': 28, 'powers': [58, 150, 4], 'representative': 290, 'size': 4}
  • id: 120741704
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 155, 'group_counter': 267, 'group_order': 1568, 'label': '28H-5', 'order': 28, 'powers': [59, 151, 4], 'representative': 298, 'size': 4}
  • id: 120741705
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 156, 'group_counter': 267, 'group_order': 1568, 'label': '28I1', 'order': 28, 'powers': [60, 158, 4], 'representative': 282, 'size': 4}
  • id: 120741706
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 157, 'group_counter': 267, 'group_order': 1568, 'label': '28I-1', 'order': 28, 'powers': [61, 159, 4], 'representative': 306, 'size': 4}
  • id: 120741707
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 158, 'group_counter': 267, 'group_order': 1568, 'label': '28I3', 'order': 28, 'powers': [62, 161, 4], 'representative': 62, 'size': 4}
  • id: 120741708
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 159, 'group_counter': 267, 'group_order': 1568, 'label': '28I-3', 'order': 28, 'powers': [63, 160, 4], 'representative': 78, 'size': 4}
  • id: 120741710
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 160, 'group_counter': 267, 'group_order': 1568, 'label': '28I5', 'order': 28, 'powers': [64, 156, 4], 'representative': 178, 'size': 4}
  • id: 120741711
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 161, 'group_counter': 267, 'group_order': 1568, 'label': '28I-5', 'order': 28, 'powers': [65, 157, 4], 'representative': 186, 'size': 4}
  • id: 120741712
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 162, 'group_counter': 267, 'group_order': 1568, 'label': '28J1', 'order': 28, 'powers': [66, 164, 4], 'representative': 170, 'size': 4}
  • id: 120741713
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 163, 'group_counter': 267, 'group_order': 1568, 'label': '28J-1', 'order': 28, 'powers': [67, 165, 4], 'representative': 194, 'size': 4}
  • id: 120741714
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 164, 'group_counter': 267, 'group_order': 1568, 'label': '28J3', 'order': 28, 'powers': [68, 167, 4], 'representative': 286, 'size': 4}
  • id: 120741715
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 165, 'group_counter': 267, 'group_order': 1568, 'label': '28J-3', 'order': 28, 'powers': [69, 166, 4], 'representative': 302, 'size': 4}
  • id: 120741716
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 166, 'group_counter': 267, 'group_order': 1568, 'label': '28J5', 'order': 28, 'powers': [70, 162, 4], 'representative': 66, 'size': 4}
  • id: 120741717
    {'aut_label': '28H1', 'centralizer': '4.a1.a1', 'counter': 167, 'group_counter': 267, 'group_order': 1568, 'label': '28J-5', 'order': 28, 'powers': [71, 163, 4], 'representative': 74, 'size': 4}
  • id: 120741718
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 168, 'group_counter': 267, 'group_order': 1568, 'label': '28K1', 'order': 28, 'powers': [39, 170, 6], 'representative': 5, 'size': 28}
  • id: 120741719
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 169, 'group_counter': 267, 'group_order': 1568, 'label': '28K-1', 'order': 28, 'powers': [40, 171, 6], 'representative': 25, 'size': 28}
  • id: 120741721
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 170, 'group_counter': 267, 'group_order': 1568, 'label': '28K3', 'order': 28, 'powers': [41, 173, 6], 'representative': 13, 'size': 28}
  • id: 120741722
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 171, 'group_counter': 267, 'group_order': 1568, 'label': '28K-3', 'order': 28, 'powers': [42, 172, 6], 'representative': 3, 'size': 28}
  • id: 120741723
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 172, 'group_counter': 267, 'group_order': 1568, 'label': '28K5', 'order': 28, 'powers': [43, 168, 6], 'representative': 21, 'size': 28}
  • id: 120741724
    {'aut_label': '28K1', 'centralizer': '28.e1.a1', 'counter': 173, 'group_counter': 267, 'group_order': 1568, 'label': '28K-5', 'order': 28, 'powers': [44, 169, 6], 'representative': 9, 'size': 28}
  • id: 120741725
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 174, 'group_counter': 267, 'group_order': 1568, 'label': '28L1', 'order': 28, 'powers': [39, 176, 7], 'representative': 61, 'size': 28}
  • id: 120741726
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 175, 'group_counter': 267, 'group_order': 1568, 'label': '28L-1', 'order': 28, 'powers': [40, 177, 7], 'representative': 81, 'size': 28}
  • id: 120741727
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 176, 'group_counter': 267, 'group_order': 1568, 'label': '28L3', 'order': 28, 'powers': [41, 179, 7], 'representative': 69, 'size': 28}
  • id: 120741728
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 177, 'group_counter': 267, 'group_order': 1568, 'label': '28L-3', 'order': 28, 'powers': [42, 178, 7], 'representative': 59, 'size': 28}
  • id: 120741729
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 178, 'group_counter': 267, 'group_order': 1568, 'label': '28L5', 'order': 28, 'powers': [43, 174, 7], 'representative': 77, 'size': 28}
  • id: 120741730
    {'aut_label': '28K1', 'centralizer': '28.e1.b1', 'counter': 179, 'group_counter': 267, 'group_order': 1568, 'label': '28L-5', 'order': 28, 'powers': [44, 175, 7], 'representative': 65, 'size': 28}
  • id: 120741732
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 180, 'group_counter': 267, 'group_order': 1568, 'label': '56A1', 'order': 56, 'powers': [93, 182, 35], 'representative': 28, 'size': 4}
  • id: 120741733
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 181, 'group_counter': 267, 'group_order': 1568, 'label': '56A-1', 'order': 56, 'powers': [93, 183, 36], 'representative': 756, 'size': 4}
  • id: 120741734
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 182, 'group_counter': 267, 'group_order': 1568, 'label': '56A3', 'order': 56, 'powers': [94, 186, 36], 'representative': 84, 'size': 4}
  • id: 120741735
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 183, 'group_counter': 267, 'group_order': 1568, 'label': '56A-3', 'order': 56, 'powers': [94, 187, 35], 'representative': 700, 'size': 4}
  • id: 120741736
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 184, 'group_counter': 267, 'group_order': 1568, 'label': '56A5', 'order': 56, 'powers': [95, 191, 35], 'representative': 140, 'size': 4}
  • id: 120741737
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 185, 'group_counter': 267, 'group_order': 1568, 'label': '56A-5', 'order': 56, 'powers': [95, 190, 36], 'representative': 1428, 'size': 4}
  • id: 120741738
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 186, 'group_counter': 267, 'group_order': 1568, 'label': '56A9', 'order': 56, 'powers': [96, 181, 35], 'representative': 252, 'size': 4}
  • id: 120741739
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 187, 'group_counter': 267, 'group_order': 1568, 'label': '56A-9', 'order': 56, 'powers': [96, 180, 36], 'representative': 532, 'size': 4}
  • id: 120741740
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 188, 'group_counter': 267, 'group_order': 1568, 'label': '56A11', 'order': 56, 'powers': [97, 184, 36], 'representative': 308, 'size': 4}
  • id: 120741741
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 189, 'group_counter': 267, 'group_order': 1568, 'label': '56A-11', 'order': 56, 'powers': [97, 185, 35], 'representative': 476, 'size': 4}
  • id: 120741743
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 190, 'group_counter': 267, 'group_order': 1568, 'label': '56A13', 'order': 56, 'powers': [98, 188, 35], 'representative': 1148, 'size': 4}
  • id: 120741744
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 191, 'group_counter': 267, 'group_order': 1568, 'label': '56A-13', 'order': 56, 'powers': [98, 189, 36], 'representative': 1204, 'size': 4}
  • id: 120741745
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 192, 'group_counter': 267, 'group_order': 1568, 'label': '56B1', 'order': 56, 'powers': [111, 194, 35], 'representative': 32, 'size': 4}
  • id: 120741746
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 193, 'group_counter': 267, 'group_order': 1568, 'label': '56B-1', 'order': 56, 'powers': [112, 195, 36], 'representative': 780, 'size': 4}
  • id: 120741747
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 194, 'group_counter': 267, 'group_order': 1568, 'label': '56B3', 'order': 56, 'powers': [113, 198, 36], 'representative': 96, 'size': 4}
  • id: 120741748
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 195, 'group_counter': 267, 'group_order': 1568, 'label': '56B-3', 'order': 56, 'powers': [114, 199, 35], 'representative': 478, 'size': 4}
  • id: 120741749
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 196, 'group_counter': 267, 'group_order': 1568, 'label': '56B5', 'order': 56, 'powers': [115, 203, 35], 'representative': 160, 'size': 4}
  • id: 120741750
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 197, 'group_counter': 267, 'group_order': 1568, 'label': '56B-5', 'order': 56, 'powers': [116, 202, 36], 'representative': 1436, 'size': 4}
  • id: 120741751
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 198, 'group_counter': 267, 'group_order': 1568, 'label': '56B9', 'order': 56, 'powers': [117, 193, 35], 'representative': 260, 'size': 4}
  • id: 120741752
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 199, 'group_counter': 267, 'group_order': 1568, 'label': '56B-9', 'order': 56, 'powers': [118, 192, 36], 'representative': 552, 'size': 4}
  • id: 120741755
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 200, 'group_counter': 267, 'group_order': 1568, 'label': '56B11', 'order': 56, 'powers': [119, 196, 36], 'representative': 86, 'size': 4}
  • id: 120741756
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 201, 'group_counter': 267, 'group_order': 1568, 'label': '56B-11', 'order': 56, 'powers': [120, 197, 35], 'representative': 488, 'size': 4}
  • id: 120741757
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 202, 'group_counter': 267, 'group_order': 1568, 'label': '56B13', 'order': 56, 'powers': [121, 200, 35], 'representative': 38, 'size': 4}
  • id: 120741758
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 203, 'group_counter': 267, 'group_order': 1568, 'label': '56B-13', 'order': 56, 'powers': [122, 201, 36], 'representative': 1208, 'size': 4}
  • id: 120741759
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 204, 'group_counter': 267, 'group_order': 1568, 'label': '56C1', 'order': 56, 'powers': [123, 206, 35], 'representative': 30, 'size': 4}
  • id: 120741760
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 205, 'group_counter': 267, 'group_order': 1568, 'label': '56C-1', 'order': 56, 'powers': [124, 207, 36], 'representative': 1216, 'size': 4}
  • id: 120741761
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 206, 'group_counter': 267, 'group_order': 1568, 'label': '56C3', 'order': 56, 'powers': [125, 210, 36], 'representative': 90, 'size': 4}
  • id: 120741762
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 207, 'group_counter': 267, 'group_order': 1568, 'label': '56C-3', 'order': 56, 'powers': [126, 211, 35], 'representative': 484, 'size': 4}
  • id: 120741763
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 208, 'group_counter': 267, 'group_order': 1568, 'label': '56C5', 'order': 56, 'powers': [127, 215, 35], 'representative': 276, 'size': 4}
  • id: 120741764
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 209, 'group_counter': 267, 'group_order': 1568, 'label': '56C-5', 'order': 56, 'powers': [128, 214, 36], 'representative': 536, 'size': 4}
  • id: 120741766
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 210, 'group_counter': 267, 'group_order': 1568, 'label': '56C9', 'order': 56, 'powers': [129, 205, 35], 'representative': 144, 'size': 4}
  • id: 120741767
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 211, 'group_counter': 267, 'group_order': 1568, 'label': '56C-9', 'order': 56, 'powers': [130, 204, 36], 'representative': 1452, 'size': 4}
  • id: 120741768
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 212, 'group_counter': 267, 'group_order': 1568, 'label': '56C11', 'order': 56, 'powers': [131, 208, 36], 'representative': 92, 'size': 4}
  • id: 120741769
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 213, 'group_counter': 267, 'group_order': 1568, 'label': '56C-11', 'order': 56, 'powers': [132, 209, 35], 'representative': 720, 'size': 4}
  • id: 120741770
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 214, 'group_counter': 267, 'group_order': 1568, 'label': '56C13', 'order': 56, 'powers': [133, 212, 35], 'representative': 40, 'size': 4}
  • id: 120741771
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 215, 'group_counter': 267, 'group_order': 1568, 'label': '56C-13', 'order': 56, 'powers': [134, 213, 36], 'representative': 1206, 'size': 4}
  • id: 120741772
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 216, 'group_counter': 267, 'group_order': 1568, 'label': '56D1', 'order': 56, 'powers': [135, 218, 35], 'representative': 36, 'size': 4}
  • id: 120741773
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 217, 'group_counter': 267, 'group_order': 1568, 'label': '56D-1', 'order': 56, 'powers': [136, 219, 36], 'representative': 776, 'size': 4}
  • id: 120741774
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 218, 'group_counter': 267, 'group_order': 1568, 'label': '56D3', 'order': 56, 'powers': [137, 222, 36], 'representative': 108, 'size': 4}
  • id: 120741775
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 219, 'group_counter': 267, 'group_order': 1568, 'label': '56D-3', 'order': 56, 'powers': [138, 223, 35], 'representative': 704, 'size': 4}
  • id: 120741777
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 220, 'group_counter': 267, 'group_order': 1568, 'label': '56D5', 'order': 56, 'powers': [139, 227, 35], 'representative': 152, 'size': 4}
  • id: 120741778
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 221, 'group_counter': 267, 'group_order': 1568, 'label': '56D-5', 'order': 56, 'powers': [140, 226, 36], 'representative': 534, 'size': 4}
  • id: 120741779
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 222, 'group_counter': 267, 'group_order': 1568, 'label': '56D9', 'order': 56, 'powers': [141, 217, 35], 'representative': 142, 'size': 4}
  • id: 120741780
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 223, 'group_counter': 267, 'group_order': 1568, 'label': '56D-9', 'order': 56, 'powers': [142, 216, 36], 'representative': 544, 'size': 4}
  • id: 120741781
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 224, 'group_counter': 267, 'group_order': 1568, 'label': '56D11', 'order': 56, 'powers': [143, 220, 36], 'representative': 312, 'size': 4}
  • id: 120741782
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 225, 'group_counter': 267, 'group_order': 1568, 'label': '56D-11', 'order': 56, 'powers': [144, 221, 35], 'representative': 500, 'size': 4}
  • id: 120741783
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 226, 'group_counter': 267, 'group_order': 1568, 'label': '56D13', 'order': 56, 'powers': [145, 224, 35], 'representative': 34, 'size': 4}
  • id: 120741784
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 227, 'group_counter': 267, 'group_order': 1568, 'label': '56D-13', 'order': 56, 'powers': [146, 225, 36], 'representative': 1212, 'size': 4}
  • id: 120741785
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 228, 'group_counter': 267, 'group_order': 1568, 'label': '56E1', 'order': 56, 'powers': [134, 230, 35], 'representative': 44, 'size': 4}
  • id: 120741786
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 229, 'group_counter': 267, 'group_order': 1568, 'label': '56E-1', 'order': 56, 'powers': [133, 231, 36], 'representative': 768, 'size': 4}
  • id: 120741788
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 230, 'group_counter': 267, 'group_order': 1568, 'label': '56E3', 'order': 56, 'powers': [132, 234, 36], 'representative': 104, 'size': 4}
  • id: 120741789
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 231, 'group_counter': 267, 'group_order': 1568, 'label': '56E-3', 'order': 56, 'powers': [131, 235, 35], 'representative': 708, 'size': 4}
  • id: 120741790
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 232, 'group_counter': 267, 'group_order': 1568, 'label': '56E5', 'order': 56, 'powers': [130, 239, 35], 'representative': 164, 'size': 4}
  • id: 120741791
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 233, 'group_counter': 267, 'group_order': 1568, 'label': '56E-5', 'order': 56, 'powers': [129, 238, 36], 'representative': 1432, 'size': 4}
  • id: 120741792
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 234, 'group_counter': 267, 'group_order': 1568, 'label': '56E9', 'order': 56, 'powers': [128, 229, 35], 'representative': 256, 'size': 4}
  • id: 120741793
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 235, 'group_counter': 267, 'group_order': 1568, 'label': '56E-9', 'order': 56, 'powers': [127, 228, 36], 'representative': 556, 'size': 4}
  • id: 120741794
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 236, 'group_counter': 267, 'group_order': 1568, 'label': '56E11', 'order': 56, 'powers': [126, 232, 36], 'representative': 316, 'size': 4}
  • id: 120741795
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 237, 'group_counter': 267, 'group_order': 1568, 'label': '56E-11', 'order': 56, 'powers': [125, 233, 35], 'representative': 496, 'size': 4}
  • id: 120741796
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 238, 'group_counter': 267, 'group_order': 1568, 'label': '56E13', 'order': 56, 'powers': [124, 236, 35], 'representative': 54, 'size': 4}
  • id: 120741797
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 239, 'group_counter': 267, 'group_order': 1568, 'label': '56E-13', 'order': 56, 'powers': [123, 237, 36], 'representative': 758, 'size': 4}
  • id: 120741799
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 240, 'group_counter': 267, 'group_order': 1568, 'label': '56F1', 'order': 56, 'powers': [136, 242, 35], 'representative': 48, 'size': 4}
  • id: 120741800
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 241, 'group_counter': 267, 'group_order': 1568, 'label': '56F-1', 'order': 56, 'powers': [135, 243, 36], 'representative': 764, 'size': 4}
  • id: 120741801
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 242, 'group_counter': 267, 'group_order': 1568, 'label': '56F3', 'order': 56, 'powers': [138, 246, 36], 'representative': 88, 'size': 4}
  • id: 120741802
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 243, 'group_counter': 267, 'group_order': 1568, 'label': '56F-3', 'order': 56, 'powers': [137, 247, 35], 'representative': 724, 'size': 4}
  • id: 120741803
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 244, 'group_counter': 267, 'group_order': 1568, 'label': '56F5', 'order': 56, 'powers': [140, 251, 35], 'representative': 254, 'size': 4}
  • id: 120741804
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 245, 'group_counter': 267, 'group_order': 1568, 'label': '56F-5', 'order': 56, 'powers': [139, 250, 36], 'representative': 1440, 'size': 4}
  • id: 120741805
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 246, 'group_counter': 267, 'group_order': 1568, 'label': '56F9', 'order': 56, 'powers': [142, 241, 35], 'representative': 264, 'size': 4}
  • id: 120741806
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 247, 'group_counter': 267, 'group_order': 1568, 'label': '56F-9', 'order': 56, 'powers': [141, 240, 36], 'representative': 548, 'size': 4}
  • id: 120741807
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 248, 'group_counter': 267, 'group_order': 1568, 'label': '56F11', 'order': 56, 'powers': [144, 244, 36], 'representative': 94, 'size': 4}
  • id: 120741808
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 249, 'group_counter': 267, 'group_order': 1568, 'label': '56F-11', 'order': 56, 'powers': [143, 245, 35], 'representative': 480, 'size': 4}
  • id: 120741810
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 250, 'group_counter': 267, 'group_order': 1568, 'label': '56F13', 'order': 56, 'powers': [146, 248, 35], 'representative': 50, 'size': 4}
  • id: 120741811
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 251, 'group_counter': 267, 'group_order': 1568, 'label': '56F-13', 'order': 56, 'powers': [145, 249, 36], 'representative': 1224, 'size': 4}
  • id: 120741812
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 252, 'group_counter': 267, 'group_order': 1568, 'label': '56G1', 'order': 56, 'powers': [112, 254, 35], 'representative': 52, 'size': 4}
  • id: 120741813
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 253, 'group_counter': 267, 'group_order': 1568, 'label': '56G-1', 'order': 56, 'powers': [111, 255, 36], 'representative': 760, 'size': 4}
  • id: 120741814
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 254, 'group_counter': 267, 'group_order': 1568, 'label': '56G3', 'order': 56, 'powers': [114, 258, 36], 'representative': 100, 'size': 4}
  • id: 120741815
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 255, 'group_counter': 267, 'group_order': 1568, 'label': '56G-3', 'order': 56, 'powers': [113, 259, 35], 'representative': 712, 'size': 4}
  • id: 120741816
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 256, 'group_counter': 267, 'group_order': 1568, 'label': '56G5', 'order': 56, 'powers': [116, 263, 35], 'representative': 148, 'size': 4}
  • id: 120741817
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 257, 'group_counter': 267, 'group_order': 1568, 'label': '56G-5', 'order': 56, 'powers': [115, 262, 36], 'representative': 1448, 'size': 4}
  • id: 120741818
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 258, 'group_counter': 267, 'group_order': 1568, 'label': '56G9', 'order': 56, 'powers': [118, 253, 35], 'representative': 272, 'size': 4}
  • id: 120741819
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 259, 'group_counter': 267, 'group_order': 1568, 'label': '56G-9', 'order': 56, 'powers': [117, 252, 36], 'representative': 540, 'size': 4}
  • id: 120741821
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 260, 'group_counter': 267, 'group_order': 1568, 'label': '56G11', 'order': 56, 'powers': [120, 256, 36], 'representative': 320, 'size': 4}
  • id: 120741822
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 261, 'group_counter': 267, 'group_order': 1568, 'label': '56G-11', 'order': 56, 'powers': [119, 257, 35], 'representative': 702, 'size': 4}
  • id: 120741823
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 262, 'group_counter': 267, 'group_order': 1568, 'label': '56G13', 'order': 56, 'powers': [122, 260, 35], 'representative': 46, 'size': 4}
  • id: 120741824
    {'aut_label': '56B1', 'centralizer': '4.f1.a1', 'counter': 263, 'group_counter': 267, 'group_order': 1568, 'label': '56G-13', 'order': 56, 'powers': [121, 261, 36], 'representative': 1228, 'size': 4}
  • id: 120741825
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 264, 'group_counter': 267, 'group_order': 1568, 'label': '56H1', 'order': 56, 'powers': [99, 266, 35], 'representative': 1376, 'size': 4}
  • id: 120741826
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 265, 'group_counter': 267, 'group_order': 1568, 'label': '56H-1', 'order': 56, 'powers': [100, 267, 36], 'representative': 220, 'size': 4}
  • id: 120741827
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 266, 'group_counter': 267, 'group_order': 1568, 'label': '56H3', 'order': 56, 'powers': [101, 270, 36], 'representative': 208, 'size': 4}
  • id: 120741828
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 267, 'group_counter': 267, 'group_order': 1568, 'label': '56H-3', 'order': 56, 'powers': [102, 271, 35], 'representative': 1374, 'size': 4}
  • id: 120741829
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 268, 'group_counter': 267, 'group_order': 1568, 'label': '56H5', 'order': 56, 'powers': [103, 275, 35], 'representative': 1392, 'size': 4}
  • id: 120741830
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 269, 'group_counter': 267, 'group_order': 1568, 'label': '56H-5', 'order': 56, 'powers': [104, 274, 36], 'representative': 204, 'size': 4}
  • id: 120741832
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 270, 'group_counter': 267, 'group_order': 1568, 'label': '56H9', 'order': 56, 'powers': [104, 265, 35], 'representative': 1380, 'size': 4}
  • id: 120741833
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 271, 'group_counter': 267, 'group_order': 1568, 'label': '56H-9', 'order': 56, 'powers': [103, 264, 36], 'representative': 216, 'size': 4}
  • id: 120741834
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 272, 'group_counter': 267, 'group_order': 1568, 'label': '56H11', 'order': 56, 'powers': [102, 268, 36], 'representative': 198, 'size': 4}
  • id: 120741835
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 273, 'group_counter': 267, 'group_order': 1568, 'label': '56H-11', 'order': 56, 'powers': [101, 269, 35], 'representative': 1384, 'size': 4}
  • id: 120741836
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 274, 'group_counter': 267, 'group_order': 1568, 'label': '56H13', 'order': 56, 'powers': [100, 272, 35], 'representative': 1396, 'size': 4}
  • id: 120741837
    {'aut_label': '56H1', 'centralizer': '4.f1.a1', 'counter': 275, 'group_counter': 267, 'group_order': 1568, 'label': '56H-13', 'order': 56, 'powers': [99, 273, 36], 'representative': 200, 'size': 4}
  • id: 120741838
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 276, 'group_counter': 267, 'group_order': 1568, 'label': '56I1', 'order': 56, 'powers': [105, 278, 37], 'representative': 33, 'size': 28}
  • id: 120741839
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 277, 'group_counter': 267, 'group_order': 1568, 'label': '56I-1', 'order': 56, 'powers': [106, 279, 38], 'representative': 109, 'size': 28}
  • id: 120741840
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 278, 'group_counter': 267, 'group_order': 1568, 'label': '56I3', 'order': 56, 'powers': [107, 282, 38], 'representative': 97, 'size': 28}
  • id: 120741841
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 279, 'group_counter': 267, 'group_order': 1568, 'label': '56I-3', 'order': 56, 'powers': [108, 283, 37], 'representative': 31, 'size': 28}
  • id: 120741843
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 280, 'group_counter': 267, 'group_order': 1568, 'label': '56I5', 'order': 56, 'powers': [109, 287, 37], 'representative': 49, 'size': 28}
  • id: 120741844
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 281, 'group_counter': 267, 'group_order': 1568, 'label': '56I-5', 'order': 56, 'powers': [110, 286, 38], 'representative': 93, 'size': 28}
  • id: 120741845
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 282, 'group_counter': 267, 'group_order': 1568, 'label': '56I9', 'order': 56, 'powers': [110, 277, 37], 'representative': 37, 'size': 28}
  • id: 120741846
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 283, 'group_counter': 267, 'group_order': 1568, 'label': '56I-9', 'order': 56, 'powers': [109, 276, 38], 'representative': 105, 'size': 28}
  • id: 120741847
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 284, 'group_counter': 267, 'group_order': 1568, 'label': '56I11', 'order': 56, 'powers': [108, 280, 38], 'representative': 87, 'size': 28}
  • id: 120741848
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 285, 'group_counter': 267, 'group_order': 1568, 'label': '56I-11', 'order': 56, 'powers': [107, 281, 37], 'representative': 41, 'size': 28}
  • id: 120741849
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 286, 'group_counter': 267, 'group_order': 1568, 'label': '56I13', 'order': 56, 'powers': [106, 284, 37], 'representative': 53, 'size': 28}
  • id: 120741850
    {'aut_label': '56I1', 'centralizer': '28.h1.a1', 'counter': 287, 'group_counter': 267, 'group_order': 1568, 'label': '56I-13', 'order': 56, 'powers': [105, 285, 38], 'representative': 89, 'size': 28}
• 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: 6735559
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1a', '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], 'schur_index': 1}
  • id: 6735570
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1b', '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], 'schur_index': 1}
  • id: 6735581
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1c', '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], 'schur_index': 1}
  • id: 6735592
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1d', '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], 'schur_index': 1}
  • id: 6735599
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735600
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735563
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735564
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735593
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4a', 'multiplicity': 1, 'nt': [16, 40], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, -4, 0, -4, -4, -4, -4, 0, -4, -4, -4, 0, -4, -4, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
  • id: 6735601
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1g', 'multiplicity': 6, 'nt': [7, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6735602
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1h', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -6, -6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6735603
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1i', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, 6, 6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6735560
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1j', 'multiplicity': 6, 'nt': [14, 1], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6735565
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2c', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, 6, -1, -1, 6, -1, -1, -1, -1, 6, -1, 6, -1, 6, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735566
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2d', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, -6, 0, 0, 6, 6, 6, 6, 6, 6, 6, -1, 6, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, 6, -1, -1, 6, -1, -1, -1, -1, 6, -1, 6, -1, 6, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, 6, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, -6, 1, 1, 1, 1, 1, 1, -6, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, -6, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735561
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1k', 'multiplicity': 12, 'nt': [28, 1], 'qdim': 12, 'qvalues': [12, 12, 12, -12, -12, -12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, 12, -2, -2, 12, -2, -2, -2, -2, -2, -2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, -12, 2, 2, -12, 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], 'schur_index': 1}
  • id: 6735562
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.1l', 'multiplicity': 12, 'nt': [28, 1], 'qdim': 12, 'qvalues': [12, 12, 12, -12, -12, 12, -12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, 12, -2, -2, 12, -2, -2, -2, -2, -2, -2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, -12, 2, 2, -12, 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], 'schur_index': 1}
  • id: 6735567
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2e', 'multiplicity': 6, 'nt': [14, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, 5, 5, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, 5, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, 5, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735568
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2f', 'multiplicity': 6, 'nt': [14, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, 5, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, 5, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 5, -2, 5, 5, -2, 5, 5, -2, 5, 5, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735569
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2g', 'multiplicity': 6, 'nt': [14, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, 5, 5, -2, -2, -2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735571
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2h', 'multiplicity': 6, 'nt': [28, 5], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 12, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 12, -2, -2, 2, -2, -2, 12, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, -12, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 12, -2, -2, 2, -2, -2, 12, -2, -2, -2, -2, 12, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 12, -2, 2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 12, 2, 2, 2, 2, 2, -12, 2, 2, -12, 2, 2, -12, 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], 'schur_index': 1}
  • id: 6735572
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2i', 'multiplicity': 6, 'nt': [28, 5], 'qdim': 12, 'qvalues': [12, 12, -12, 12, -12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 12, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 12, -2, -2, 2, -2, -2, 12, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, -12, 2, 2, -12, 2, 2, 2, 2, 2, 2, -2, -12, 2, 2, -2, 2, 2, -12, 2, 2, 2, 2, -12, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -12, 2, -2, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -12, -2, -2, -2, -2, -2, 12, -2, -2, 12, -2, -2, 12, -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], 'schur_index': 1}
  • id: 6735573
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2j', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, 12, 12, 12, 12, 12, 12, -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, 12, 12, 12, 12, 12, 12, -12, -2, -12, -2, -2, -2, -2, -12, -2, -2, -2, -12, -2, -2, -12, -2, -2, -2, -2, -2, -2, -2, -2, -12, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, -2, -2, -2, -12, -2, 12, -2, -2, 12, -2, -2, -2, -2, -12, -2, 12, -2, 12, -2, -2, -2, 12, -2, -12, -2, -2, -2, -2, -2, 12, -2, -2, -2, -12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -12, -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], 'schur_index': 1}
  • id: 6735574
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2k', 'multiplicity': 6, 'nt': [28, 8], 'qdim': 12, 'qvalues': [12, 12, 12, -12, -12, 0, 0, 12, 12, 12, 12, 12, 12, -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, 12, 12, 12, 12, 12, 12, 12, -2, 12, -2, -2, -2, -2, 12, -2, -2, -2, 12, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -12, 2, 2, 2, -12, 2, -12, 2, 2, -12, 2, 2, 2, 2, -12, 2, -12, 2, -12, 2, 2, 2, -12, 2, -12, 2, 2, 2, 2, 2, -12, 2, 2, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 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], 'schur_index': 1}
  • id: 6735575
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2l', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, -12, 12, -12, 0, 0, 12, 12, 12, 12, 12, 12, -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, 12, 12, 12, 12, 12, 12, -12, -2, -12, -2, -2, -2, -2, -12, -2, -2, -2, -12, -2, -2, -12, -2, -2, -2, -2, -2, -2, -2, -2, -12, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 12, 2, 2, 2, 12, 2, -12, 2, 2, -12, 2, 2, 2, 2, 12, 2, -12, 2, -12, 2, 2, 2, -12, 2, 12, 2, 2, 2, 2, 2, -12, 2, 2, 2, 12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 12, 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], 'schur_index': 1}
  • id: 6735576
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2m', 'multiplicity': 6, 'nt': [28, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, -12, -12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, -5, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, -5, 2, 2, 2, 2, 2, -5, -5, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735577
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2n', 'multiplicity': 6, 'nt': [28, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, 5, -12, -12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, 5, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, -5, -5, 2, -5, -5, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735578
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2o', 'multiplicity': 6, 'nt': [28, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -12, -12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 5, -2, 5, 5, -2, -2, -2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, 2, 2, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735579
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2p', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 5, -2, 2, -2, 5, -2, 2, -2, -2, 2, -2, 5, -2, 5, -2, -2, -2, 5, 2, 5, -2, -2, 2, 2, -5, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 5, -2, -2, -2, -2, 5, 2, -2, -2, -2, -2, -2, -2, 5, -2, 5, 2, -2, 5, -2, 5, -2, -2, 5, -2, -2, 2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, 2, -2, -2, 2, 2, -5, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, -7, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, -7, -7, 0, 0, -7, 7, 0, 0, -7, 0, 0, 7, 0, 0, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -7, -7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735580
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2q', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 5, -2, 2, -2, 5, -2, 2, -2, -2, 2, -2, 5, -2, 5, -2, -2, -2, 5, 2, 5, -2, -2, 2, 2, -5, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 5, -2, -2, -2, -2, 5, 2, -2, -2, -2, -2, -2, -2, 5, -2, 5, 2, -2, 5, -2, 5, -2, -2, 5, -2, -2, 2, 5, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, 2, -2, -2, 2, 2, -5, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, -7, 0, 0, 7, 0, 0, -7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, -7, -7, 0, 0, 0, -7, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, -7, 0, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735582
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2r', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, 5, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 5, -2, 5, 2, -2, -2, -2, 2, 5, 5, 2, 5, -2, 5, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -5, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, -2, 5, -2, 2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, 2, 5, -2, -5, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -7, 0, 0, 0, 0, 0, -7, 0, 7, 7, 0, 7, 7, 0, 7, -7, 0, 7, -7, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735583
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2s', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, 5, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 5, -2, 5, 2, -2, -2, -2, 2, 5, 5, 2, 5, -2, 5, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -5, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, -2, 5, -2, 2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, 2, 5, -2, -5, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, -7, -7, 0, -7, -7, 0, -7, 7, 0, -7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, -7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735584
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2t', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 5, 2, -2, -2, -2, -2, 2, 5, -2, 5, 2, -2, -2, 2, -2, -2, -2, -2, 5, -2, 5, -2, 2, -2, 5, -2, -5, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, -5, 2, -2, -2, 5, 2, 5, -2, -2, -2, -2, 5, -2, -2, -2, 2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 2, -2, -2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, -5, 2, -5, -5, 2, 2, 2, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, -7, 0, 7, 0, 0, 0, 7, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, -7, 7, -7, 0, 0, 0, 0, -7, 0, 0, 0, -7, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735585
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2u', 'multiplicity': 6, 'nt': [28, 47], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 5, 2, -2, -2, -2, -2, 2, 5, -2, 5, 2, -2, -2, 2, -2, -2, -2, -2, 5, -2, 5, -2, 2, -2, 5, -2, -5, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, -5, 2, -2, -2, 5, 2, 5, -2, -2, -2, -2, 5, -2, -2, -2, 2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 5, -2, -2, -2, -2, -2, 5, 2, -2, -2, 5, -2, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 2, -2, -2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, -5, 2, -5, -5, 2, 2, 2, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, -7, 0, 0, 0, -7, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, -7, 0, 0, -7, 0, 0, 0, -7, 0, 0, 0, 0, 7, -7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 6735586
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2v', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 24, -24, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, 10, -4, -4, -4, 10, 10, 10, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -4, 10, -4, 4, -4, 10, -4, 4, -4, -4, 4, -4, 10, -4, 10, -4, -4, -4, 10, 4, 10, -4, -4, 4, 4, -10, -10, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, -10, -10, 4, -10, 4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -10, 4, 4, 4, 4, -10, -4, 4, 4, 4, 4, 4, 4, -10, 4, -10, -4, 4, -10, 4, -10, 4, 4, -10, 4, 4, -4, -10, 4, 4, 4, 4, 4, -10, -10, 4, 4, 4, 4, -10, -10, 4, 4, -4, 4, 4, -4, -4, 10, 10, -4, -4, -4, 10, -4, 10, 10, -4, -4, -4, -4, -4, -4, 10, -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], 'schur_index': 1}
  • id: 6735587
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2w', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 24, -24, 0, 0, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, 10, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, 10, -4, 10, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 10, -4, 10, 4, -4, -4, -4, 4, 10, 10, 4, 10, -4, 10, -4, -4, -4, -4, -4, 4, -4, -4, -4, 4, -10, 4, 4, 4, -10, 4, 4, 4, -10, -10, 4, -10, 4, 4, 4, 4, -10, 4, 4, 4, -4, 4, -10, 4, -4, 4, 4, 4, 4, 4, 4, -10, 4, 4, -4, 4, 4, -10, 4, -10, -10, 4, 4, 4, -4, -10, 4, 4, 4, -10, 4, 4, 4, 4, -4, 4, -10, 4, 4, 4, 4, 4, 4, -10, 4, 4, -10, 4, 4, -10, 4, -4, -10, 4, 10, 10, -4, -4, 10, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, 10, 10, -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], 'schur_index': 1}
  • id: 6735588
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2x', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, -24, 24, -24, 0, 0, -4, -4, -4, -4, -4, -4, 10, -4, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 10, 4, -4, -4, -4, -4, 4, 10, -4, 10, 4, -4, -4, 4, -4, -4, -4, -4, 10, -4, 10, -4, 4, -4, 10, -4, -10, 4, 4, 4, -10, 4, 4, 4, -10, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, -10, -10, -4, 4, 4, -10, -4, -10, 4, 4, 4, 4, -10, 4, 4, 4, -4, -10, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -10, 4, 4, 4, 4, 4, -10, -4, 4, 4, -10, 4, -10, -10, 4, 4, 4, -10, -10, 4, 4, 4, 4, -10, -4, 4, 4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, -4, 10, 10, -4, 10, 10, -4, -4, -4, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735589
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2y', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, 24, -24, -24, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, 10, -4, -4, -4, 10, 10, 10, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, 10, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, 10, -4, 10, -4, -4, -4, -4, 10, 10, -4, -4, -4, 10, -4, -4, -4, -4, -4, -4, -4, 10, 10, -4, 10, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, -10, 4, -10, 4, 4, -10, 4, -10, 4, 4, -10, 4, 4, 4, -10, 4, 4, 4, 4, 4, -10, -10, 4, 4, 4, 4, -10, -10, 4, 4, 4, 4, 4, 4, 4, -10, -10, 4, 4, 4, -10, 4, -10, -10, 4, 4, 4, 4, 4, 4, -10, 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], 'schur_index': 1}
  • id: 6735590
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2z', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, 24, -24, -24, 0, 0, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, 10, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, 10, -4, 10, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, -4, -4, 10, 10, -4, 10, -4, 10, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, 10, -4, -4, -4, 10, 10, -4, 10, -4, -4, -4, -4, 10, -4, -4, -4, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, -10, 4, -10, -10, 4, 4, 4, 4, -10, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, -10, 4, 4, -10, 4, 4, -10, 4, 4, -10, 4, -10, -10, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, -10, -10, 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], 'schur_index': 1}
  • id: 6735591
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.2aa', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, 24, -24, -24, 0, 0, -4, -4, -4, -4, -4, -4, 10, -4, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, 10, -4, -4, -4, 10, -4, 10, -4, -4, -4, 10, -4, -4, -4, 10, -4, -4, -4, -4, 10, -4, -4, -4, -4, -4, 10, 10, 4, 4, 4, -10, 4, -10, 4, 4, 4, 4, -10, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, -10, 4, 4, 4, -10, 4, -10, -10, 4, 4, 4, -10, -10, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10, 4, 4, 4, 4, 4, -10, -10, 4, -10, -10, 4, 4, 4, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735594
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4b', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 24, -4, -4, -4, 24, -4, -4, -4, -4, -4, -4, -4, -4, -4, 24, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 0, -24, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, -24, 4, 4, 0, 4, 4, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
  • id: 6735595
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4c', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 24, -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, -24, -24, -24, -24, -24, -24, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
  • id: 6735596
    {'cdim': 4, 'counter': 43, 'faithful': True, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4d', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, 20, -8, -8, -8, 20, 20, 20, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, -20, 8, 0, 8, -20, 8, 0, 8, 8, 0, 8, -20, 8, -20, 8, 8, 8, -20, 0, -20, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735597
    {'cdim': 4, 'counter': 44, 'faithful': True, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4e', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, 20, -8, -8, -8, -8, 20, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, 20, -8, 20, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, -20, 8, -20, 0, 8, 8, 8, 0, -20, -20, 0, -20, 8, -20, 8, 8, 8, 8, 8, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6735598
    {'cdim': 4, 'counter': 45, 'faithful': True, 'group': '1568.267', 'group_order': 1568, 'image': None, 'label': '1568.267.4f', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 20, -8, -8, 20, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, -20, 0, 8, 8, 8, 8, 0, -20, 8, -20, 0, 8, 8, 0, 8, 8, 8, 8, -20, 8, -20, 8, 0, 8, -20, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 15172138
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  • id: 15172348
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  • id: 15172370
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  • id: 15172381
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  • id: 15172392
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  • id: 15172403
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  • id: 15172414
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  • id: 15172139
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  • id: 15172150
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  • id: 15172161
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  • id: 15172172
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  • id: 15172183
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  • id: 15172194
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  • id: 15172205
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  • id: 15172216
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 17, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.d1.a1', 'kernel_order': 112, 'label': '1568.267.1h3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 3]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]]]}
  • id: 15172227
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 18, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.d1.a1', 'kernel_order': 112, 'label': '1568.267.1h4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -3]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]]]}
  • id: 15172238
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  • id: 15172250
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  • id: 15172261
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 21, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.c1.a1', 'kernel_order': 112, 'label': '1568.267.1i1', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -3]], [[-1, 3]]]}
  • id: 15172272
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  • id: 15172283
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 23, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.c1.a1', 'kernel_order': 112, 'label': '1568.267.1i3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]]]}
  • id: 15172294
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 24, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.c1.a1', 'kernel_order': 112, 'label': '1568.267.1i4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]]]}
  • id: 15172305
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  • id: 15172316
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 26, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.c1.a1', 'kernel_order': 112, 'label': '1568.267.1i6', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, 1]], [[-1, -1]]]}
  • id: 15172327
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 27, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.267.1j1', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -3]], [[-1, 2]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -3]], [[-1, 3]]]}
  • id: 15172338
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  • id: 15172347
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 29, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.267.1j3', 'nt': [14, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 0]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 3]], [[-1, 1]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 0]], [[-1, -3]], [[-1, 2]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]]]}
  • id: 15172349
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 30, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.267.1j4', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -3]], [[-1, -1]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, 0]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, -3]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -3]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, -2]], [[-1, 3]], [[-1, -1]], [[-1, -3]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -3]], [[-1, 3]], [[-1, 3]], [[-1, -3]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]]]}
  • id: 15172350
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  • id: 15172351
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 32, 'cyclotomic_n': 7, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.2', 'image_order': 14, 'indicator': 0, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.267.1j6', 'nt': [14, 6], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 0]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, 2]], [[1, 0]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, -3]], [[-1, 2]], [[-1, 3]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, -3]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 1]], [[-1, 3]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -3]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 3]], [[-1, 0]], [[-1, -3]], [[-1, -3]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -3]], [[-1, 3]], [[-1, 2]], [[-1, 3]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 3]], [[-1, 2]], [[-1, -3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[-1, -3]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 3]], [[-1, -3]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 3]], [[-1, -3]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -3]], [[-1, 3]], [[-1, 1]], [[-1, -1]]]}
  • id: 15172352
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 33, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k1', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 4]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 10]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 10]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[1, 1]], [[1, 13]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[1, 1]], [[1, 13]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 11]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 7]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 7]], [[1, 13]], [[1, 3]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 9]], [[-1, 13]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 13]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 3]], [[1, 13]], [[1, 9]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 13]], [[1, 11]], [[-1, 13]], [[1, 7]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[1, 5]], [[1, 13]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 5]], [[-1, 9]], [[1, 13]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 1]], [[-1, 13]], [[1, 9]], [[-1, 5]]]}
  • id: 15172362
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  • id: 15172363
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 43, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k11', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 0]], [[1, 4]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 10]], [[-1, 0]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 12]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[-1, 4]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 10]], [[-1, 6]], [[1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 10]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[1, 7]], [[-1, 7]], [[1, 5]], [[1, 13]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 13]], [[-1, 9]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[-1, 13]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 3]], [[1, 9]], [[1, 11]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 9]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[1, 7]], [[-1, 13]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 13]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 13]], [[1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 13]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 13]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 13]], [[1, 7]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 11]], [[-1, 3]], [[-1, 9]], [[1, 5]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 13]], [[-1, 5]], [[1, 9]], [[1, 3]], [[-1, 11]]]}
  • id: 15172364
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 44, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k12', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 12]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 0]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 0]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 0]], [[1, 12]], [[1, 8]], [[1, 12]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 8]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[-1, 0]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 12]], [[1, 10]], [[1, 12]], [[-1, 10]], [[-1, 8]], [[1, 6]], [[1, 4]], [[1, 9]], [[1, 5]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 13]], [[-1, 3]], [[1, 9]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 5]], [[1, 13]], [[1, 3]], [[-1, 13]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 7]], [[1, 5]], [[-1, 13]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 13]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[-1, 13]], [[1, 3]], [[1, 13]], [[-1, 5]], [[1, 1]], [[-1, 9]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[1, 13]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 11]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 9]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 1]], [[1, 9]], [[-1, 5]], [[-1, 11]], [[1, 3]]]}
  • id: 15172353
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  • id: 15172354
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 35, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k3', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 4]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 10]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 10]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[-1, 4]], [[1, 10]], [[-1, 2]], [[-1, 1]], [[-1, 13]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 7]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 13]], [[-1, 3]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 9]], [[1, 13]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 13]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[-1, 7]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 13]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 5]], [[1, 9]], [[-1, 13]], [[1, 1]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[1, 13]], [[-1, 9]], [[1, 5]]]}
  • id: 15172355
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 36, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k4', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 12]], [[1, 12]], [[1, 0]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[1, 8]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 0]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 10]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 0]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 2]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 12]], [[-1, 10]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 8]], [[-1, 2]], [[1, 10]], [[-1, 4]], [[1, 12]], [[1, 13]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[1, 13]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 13]], [[1, 3]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 13]], [[-1, 9]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 13]], [[-1, 13]], [[1, 5]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 13]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 13]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 13]], [[-1, 7]], [[-1, 3]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 9]], [[-1, 9]], [[-1, 13]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[1, 9]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[1, 9]], [[1, 1]], [[-1, 13]], [[1, 11]], [[-1, 11]], [[1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 5]], [[1, 1]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[1, 11]], [[-1, 3]], [[1, 13]], [[-1, 1]], [[1, 5]], [[-1, 9]]]}
  • id: 15172356
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  • id: 15172357
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 38, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k6', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[1, 12]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 6]], [[1, 2]], [[-1, 12]], [[1, 8]], [[1, 11]], [[1, 3]], [[1, 13]], [[1, 7]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 11]], [[1, 13]], [[-1, 13]], [[-1, 7]], [[1, 3]], [[1, 5]], [[-1, 9]], [[1, 7]], [[1, 11]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 13]], [[1, 9]], [[1, 13]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 13]], [[1, 9]], [[-1, 13]], [[-1, 3]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 13]], [[1, 13]], [[-1, 11]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 13]], [[1, 1]], [[1, 3]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[1, 5]], [[-1, 9]], [[1, 11]], [[-1, 3]], [[-1, 1]], [[1, 13]]]}
  • id: 15172358
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 39, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k7', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[1, 12]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 4]], [[1, 12]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 0]], [[1, 4]], [[1, 12]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 6]], [[-1, 0]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 12]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[1, 6]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 0]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[1, 12]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 12]], [[1, 2]], [[-1, 6]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[1, 11]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[1, 5]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 13]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 9]], [[-1, 13]], [[1, 9]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 5]], [[-1, 13]], [[1, 13]], [[1, 13]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[1, 13]], [[1, 13]], [[1, 13]], [[1, 13]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 9]], [[1, 9]], [[1, 13]], [[-1, 1]], [[1, 13]], [[1, 11]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[1, 9]], [[-1, 5]], [[1, 3]], [[-1, 11]], [[-1, 13]], [[1, 1]]]}
  • id: 15172360
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  • id: 15172361
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 41, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.267.1k9', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 6]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 0]], [[1, 4]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 10]], [[-1, 0]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 12]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[-1, 4]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 10]], [[-1, 6]], [[1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 10]], [[1, 5]], [[1, 9]], [[1, 11]], [[-1, 7]], [[1, 13]], [[1, 1]], [[-1, 11]], [[1, 5]], [[1, 9]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 13]], [[-1, 9]], [[1, 1]], [[1, 11]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 13]], [[1, 9]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[1, 7]], [[1, 9]], [[-1, 1]], [[1, 13]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 11]], [[-1, 13]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 9]], [[1, 7]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 13]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 9]], [[-1, 13]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 9]], [[1, 13]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 13]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 13]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 13]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 11]], [[1, 3]], [[1, 9]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 13]], [[1, 5]], [[-1, 9]], [[-1, 3]], [[1, 11]]]}
  • id: 15172365
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 45, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l1', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 4]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 7]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 10]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 12]], [[1, 4]], [[-1, 10]], [[1, 2]], [[1, 1]], [[1, 13]], [[-1, 5]], [[-1, 7]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[1, 1]], [[1, 13]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 11]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 7]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 7]], [[1, 13]], [[1, 3]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 9]], [[-1, 13]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 11]], [[1, 5]], [[-1, 13]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 11]], [[1, 3]], [[1, 13]], [[1, 9]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 13]], [[1, 11]], [[-1, 13]], [[1, 7]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 13]], [[-1, 11]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 13]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[1, 5]], [[1, 13]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 11]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 11]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[-1, 5]], [[1, 9]], [[-1, 13]], [[1, 1]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[1, 13]], [[-1, 9]], [[1, 5]]]}
  • id: 15172375
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  • id: 15172376
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 55, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l11', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 12]], [[-1, 6]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[1, 0]], [[1, 4]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 10]], [[-1, 0]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 12]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[-1, 4]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[-1, 10]], [[1, 6]], [[-1, 8]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 10]], [[-1, 5]], [[-1, 9]], [[-1, 11]], [[1, 7]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[1, 7]], [[-1, 7]], [[1, 5]], [[1, 13]], [[1, 9]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 13]], [[-1, 9]], [[1, 5]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[-1, 13]], [[1, 7]], [[-1, 5]], [[1, 5]], [[1, 3]], [[1, 9]], [[1, 11]], [[1, 13]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 9]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[1, 7]], [[-1, 13]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[1, 13]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 9]], [[-1, 13]], [[1, 5]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 13]], [[1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 13]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 13]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 13]], [[1, 7]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 11]], [[1, 3]], [[1, 9]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 13]], [[1, 5]], [[-1, 9]], [[-1, 3]], [[1, 11]]]}
  • id: 15172377
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 56, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l12', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 12]], [[1, 4]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 7]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 10]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 0]], [[-1, 6]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 6]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 0]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 0]], [[1, 12]], [[1, 8]], [[1, 12]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 4]], [[-1, 0]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 8]], [[-1, 0]], [[1, 6]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 2]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[-1, 0]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 12]], [[-1, 10]], [[-1, 12]], [[1, 10]], [[1, 8]], [[-1, 6]], [[-1, 4]], [[1, 9]], [[1, 5]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 13]], [[-1, 3]], [[1, 9]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 5]], [[1, 13]], [[1, 3]], [[-1, 13]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 7]], [[1, 5]], [[-1, 13]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 9]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 13]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[-1, 13]], [[1, 3]], [[1, 13]], [[-1, 5]], [[1, 1]], [[-1, 9]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[1, 13]], [[1, 1]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[-1, 9]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 11]], [[1, 1]], [[-1, 11]], [[1, 11]], [[1, 11]], [[1, 11]], [[1, 11]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 11]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 1]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 9]], [[1, 5]], [[1, 11]], [[-1, 3]]]}
  • id: 15172366
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  • id: 15172367
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 47, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l3', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 0]], [[1, 4]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 6]], [[-1, 6]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 10]], [[-1, 10]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 12]], [[-1, 6]], [[1, 4]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 4]], [[1, 0]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 0]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[1, 10]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[1, 10]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 12]], [[1, 4]], [[-1, 10]], [[1, 2]], [[-1, 1]], [[-1, 13]], [[1, 5]], [[1, 7]], [[1, 11]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 11]], [[1, 13]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 7]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 13]], [[-1, 3]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 9]], [[1, 13]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 11]], [[-1, 5]], [[1, 13]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[-1, 7]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 13]], [[1, 11]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 13]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 11]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 11]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 9]], [[1, 11]], [[1, 7]], [[-1, 11]], [[1, 3]], [[-1, 3]], [[1, 9]], [[1, 5]], [[-1, 9]], [[1, 13]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 3]], [[-1, 11]], [[1, 1]], [[-1, 13]], [[1, 9]], [[-1, 5]]]}
  • id: 15172368
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 48, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l4', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[1, 8]], [[1, 12]], [[1, 12]], [[1, 0]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 10]], [[1, 4]], [[-1, 6]], [[1, 12]], [[-1, 2]], [[1, 8]], [[1, 8]], [[-1, 2]], [[-1, 10]], [[1, 0]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 12]], [[-1, 6]], [[-1, 10]], [[1, 4]], [[1, 12]], [[1, 12]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 0]], [[1, 12]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 12]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 0]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 12]], [[-1, 0]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[1, 10]], [[-1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 6]], [[1, 10]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 0]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 10]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 12]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[1, 10]], [[-1, 4]], [[-1, 4]], [[-1, 0]], [[-1, 12]], [[1, 2]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 2]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 12]], [[1, 10]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[-1, 8]], [[1, 2]], [[-1, 10]], [[1, 4]], [[-1, 12]], [[1, 13]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 11]], [[1, 9]], [[1, 13]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 13]], [[1, 3]], [[-1, 1]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 13]], [[-1, 9]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 11]], [[-1, 3]], [[-1, 7]], [[1, 13]], [[-1, 13]], [[1, 5]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 13]], [[-1, 11]], [[1, 5]], [[1, 11]], [[1, 13]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 13]], [[-1, 7]], [[-1, 3]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 9]], [[-1, 9]], [[-1, 13]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 11]], [[-1, 9]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 13]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[1, 13]], [[1, 9]], [[-1, 11]], [[-1, 3]], [[1, 5]], [[1, 9]], [[1, 1]], [[-1, 13]], [[1, 11]], [[-1, 11]], [[1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[-1, 1]], [[1, 13]], [[-1, 3]], [[1, 11]], [[-1, 11]], [[1, 3]], [[-1, 13]], [[1, 1]], [[-1, 5]], [[1, 9]]]}
  • id: 15172369
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  • id: 15172371
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 50, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l6', 'nt': [28, 12], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 12]], [[-1, 2]], [[1, 4]], [[1, 0]], [[1, 12]], [[1, 4]], [[-1, 6]], [[1, 12]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[-1, 2]], [[1, 12]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[1, 0]], [[1, 12]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 12]], [[1, 8]], [[1, 8]], [[-1, 10]], [[-1, 2]], [[1, 12]], [[1, 0]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 10]], [[-1, 2]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[1, 0]], [[-1, 10]], [[-1, 2]], [[-1, 10]], [[1, 12]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 4]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[1, 2]], [[-1, 0]], [[-1, 12]], [[-1, 12]], [[-1, 8]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[1, 2]], [[1, 2]], [[1, 10]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 0]], [[-1, 4]], [[1, 6]], [[-1, 12]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[1, 6]], [[1, 6]], [[-1, 8]], [[1, 10]], [[1, 10]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 0]], [[-1, 8]], [[1, 6]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[1, 6]], [[1, 2]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 8]], [[1, 2]], [[-1, 12]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[1, 6]], [[-1, 2]], [[1, 12]], [[-1, 8]], [[1, 11]], [[1, 3]], [[1, 13]], [[1, 7]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[1, 11]], [[1, 3]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[1, 9]], [[-1, 3]], [[-1, 5]], [[1, 13]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 11]], [[1, 13]], [[-1, 13]], [[-1, 7]], [[1, 3]], [[1, 5]], [[-1, 9]], [[1, 7]], [[1, 11]], [[-1, 11]], [[-1, 1]], [[-1, 3]], [[-1, 13]], [[1, 9]], [[1, 13]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 11]], [[1, 13]], [[1, 9]], [[-1, 13]], [[-1, 3]], [[-1, 7]], [[-1, 11]], [[1, 11]], [[1, 7]], [[-1, 9]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 13]], [[1, 13]], [[-1, 11]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[1, 9]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 13]], [[-1, 1]], [[-1, 3]], [[1, 11]], [[-1, 9]], [[1, 5]], [[-1, 5]], [[1, 9]], [[-1, 11]], [[1, 3]], [[1, 1]], [[-1, 13]]]}
  • id: 15172372
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 51, 'cyclotomic_n': 28, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '28.2', 'image_order': 28, 'indicator': 0, 'kernel': '28.c1.a1', 'kernel_order': 56, 'label': '1568.267.1l7', 'nt': [28, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 6]], [[1, 8]], [[1, 12]], [[-1, 10]], [[-1, 2]], [[1, 4]], [[1, 12]], [[-1, 6]], [[1, 4]], [[-1, 6]], [[-1, 6]], [[1, 0]], [[-1, 2]], [[1, 12]], [[-1, 10]], [[1, 0]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 8]], [[1, 0]], [[1, 12]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 12]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 8]], [[-1, 10]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 0]], [[-1, 6]], [[1, 4]], [[1, 8]], [[-1, 10]], [[1, 12]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 4]], [[1, 12]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 6]], [[1, 0]], [[1, 8]], [[1, 12]], [[1, 0]], [[1, 4]], [[1, 12]], [[1, 4]], [[-1, 2]], [[-1, 10]], [[1, 8]], [[1, 6]], [[-1, 0]], [[1, 10]], [[1, 2]], [[1, 2]], [[1, 10]], [[-1, 12]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 0]], [[1, 10]], [[-1, 4]], [[1, 6]], [[1, 10]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[1, 10]], [[-1, 12]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 12]], [[-1, 0]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 12]], [[-1, 12]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 10]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 10]], [[-1, 4]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 6]], [[-1, 8]], [[-1, 0]], [[-1, 4]], [[1, 10]], [[-1, 0]], [[-1, 8]], [[-1, 12]], [[1, 6]], [[-1, 4]], [[1, 2]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 12]], [[1, 2]], [[1, 4]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 12]], [[-1, 2]], [[1, 6]], [[1, 3]], [[1, 11]], [[1, 1]], [[1, 7]], [[-1, 5]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[1, 11]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[1, 5]], [[-1, 11]], [[-1, 9]], [[1, 1]], [[1, 9]], [[-1, 7]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 11]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 3]], [[-1, 3]], [[-1, 13]], [[-1, 11]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 3]], [[-1, 9]], [[-1, 13]], [[1, 9]], [[1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 11]], [[-1, 7]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 5]], [[1, 9]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 11]], [[-1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 11]], [[-1, 5]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 5]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 5]], [[-1, 13]], [[1, 13]], [[1, 13]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[1, 13]], [[1, 13]], [[1, 13]], [[1, 13]], [[-1, 5]], [[1, 7]], [[1, 5]], [[-1, 9]], [[1, 9]], [[1, 13]], [[1, 1]], [[-1, 13]], [[-1, 11]], [[1, 3]], [[-1, 5]], [[1, 9]], [[-1, 9]], [[1, 5]], [[-1, 3]], [[1, 11]], [[1, 13]], [[-1, 1]]]}
  • id: 15172373
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  • id: 15172374
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  • id: 15172378
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  • id: 15172280
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  • id: 15172290
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 236, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2aa10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 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  • id: 15172291
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  • id: 15172292
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 238, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2aa12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 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  • id: 15172281
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  • id: 15172282
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  • id: 15172284
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  • id: 15172285
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  • id: 15172286
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  • id: 15172287
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 233, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2aa7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[-1, 2], [1, 4]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [1, 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  • id: 15172288
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  • id: 15172289
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 235, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2aa9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 0], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 6], [-1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 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  • id: 15172379
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  • id: 15172380
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  • id: 15172382
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  • id: 15172383
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 61, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.b1.a1', 'kernel_order': 112, 'label': '1568.267.2c3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], 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  • id: 15172384
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  • id: 15172385
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  • id: 15172386
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  • id: 15172387
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  • id: 15172388
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 66, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2e2', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 2], [1, 3]], [[1, 2], [1, -3]], [[1, 0], [1, -3]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -1]], [[1, 0], [1, -2]], [[1, -3], [1, -1]], [[1, 3], [1, -3]], [[1, -3], [1, -2]], [[1, 0], [1, 3]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], 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  • id: 15172389
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 67, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2e3', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, 1]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 2]], [[1, -3], [1, -1]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, -3]], [[1, 0], [1, 1]], [[1, 3], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -3]], [[1, -3], [1, -2]], [[1, -2], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], 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  • id: 15172390
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  • id: 15172391
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 69, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2e5', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, -3], [1, -1]], [[1, 1], [1, -3]], [[1, 0], [1, 1]], [[1, 2], [1, 3]], [[1, 0], [1, -2]], [[1, 3], [1, -3]], [[1, -2], [1, -1]], [[1, 0], [1, 3]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -3]], [[1, 3], [1, -2]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 2], [1, -1]], [[1, 3], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], 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  • id: 15172393
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 70, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2e6', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, 1], [1, 3]], [[1, 3], [1, -1]], [[1, 0], [1, -1]], [[1, -3], [1, -2]], [[1, 0], [1, 2]], [[1, 3], [1, -3]], [[1, 1], [1, 2]], [[1, 0], [1, -3]], [[1, 2], [1, -1]], [[1, 1], [1, -1]], [[1, -3], [1, -1]], [[1, 0], [1, 1]], [[1, 0], [1, -2]], [[1, 0], [1, 3]], [[1, 2], [1, -3]], [[1, 2], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -2]], [[1, 1], [1, -3]], [[1, 2], [1, -2]], [[1, -2], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], 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  • id: 15172394
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  • id: 15172395
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 72, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2f2', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 1], [1, -3]], [[1, 0], [1, -1]], [[1, 1], [1, 3]], [[1, 2], [1, -3]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 2], [1, 3]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 3], [1, -1]], [[1, -3], [1, -1]], [[1, 2], [1, -1]], [[1, -3], [1, -2]], [[1, 0], [1, -3]], [[1, 3], [1, -2]], [[1, 0], [1, 3]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[1, 3], [1, -3]], [[1, 0], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], 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  • id: 15172396
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 73, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2f3', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, 1]], [[1, 2], [1, -3]], [[1, 0], [1, 3]], [[1, -3], [1, -2]], [[1, 1], [1, 2]], [[1, -3], [1, -1]], [[1, 3], [1, -3]], [[1, 0], [1, 1]], [[1, 1], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -2]], [[1, 2], [1, 3]], [[1, 1], [1, 3]], [[1, 2], [1, -1]], [[1, 0], [1, 2]], [[1, -2], [1, -1]], [[1, 0], [1, -2]], [[1, 3], [1, -1]], [[1, 0], [1, -3]], [[1, 2], [1, -2]], [[1, 0], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], 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  • id: 15172397
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 74, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2f4', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[1, 3], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, 3]], [[1, -2], [1, -1]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[1, 0], [1, -1]], [[1, 2], [1, -1]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -3]], [[1, -3], [1, -2]], [[1, -3], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], 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  • id: 15172398
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 75, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2f5', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 1], [1, -3]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, -3], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -2], [1, -1]], [[1, 1], [1, -2]], [[1, -3], [1, -2]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, 3], [1, -1]], [[1, 0], [1, -1]], [[1, 3], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, 3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], 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  • id: 15172399
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  • id: 15172400
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 77, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2g1', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[1, 0], [1, 2]], [[1, 2], [1, -1]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 3], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, 3]], [[1, 3], [1, -1]], [[1, 0], [1, -3]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, -3]], [[1, 1], [1, -3]], [[1, -3], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 3]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[1, -3], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], 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  • id: 15172401
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  • id: 15172402
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 79, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2g3', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, 1]], [[1, 0], [1, -1]], [[1, -3], [1, -1]], [[1, 3], [1, -1]], [[1, 0], [1, 3]], [[1, 1], [1, 2]], [[1, 2], [1, -2]], [[1, 2], [1, -1]], [[1, 2], [1, -3]], [[1, 0], [1, -2]], [[1, 3], [1, -3]], [[1, 0], [1, 1]], [[1, 1], [1, -3]], [[1, -2], [1, -1]], [[1, 3], [1, -2]], [[1, -3], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, 3]], [[1, 0], [1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], 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  • id: 15172404
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 80, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2g4', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[1, 0], [1, 1]], [[1, 1], [1, 3]], [[1, 1], [1, -3]], [[1, 0], [1, -3]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[1, 3], [1, -2]], [[1, 0], [1, 2]], [[1, 3], [1, -3]], [[1, 0], [1, -1]], [[1, 3], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -3]], [[1, 2], [1, 3]], [[1, 0], [1, 3]], [[1, -3], [1, -2]], [[1, 0], [1, -2]], [[1, -3], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], 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  • id: 15172405
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 81, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2g5', 'nt': [14, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 0], [1, 3]], [[1, 2], [1, 3]], [[1, 3], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, -3]], [[1, 3], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, 1]], [[1, -3], [1, -2]], [[1, 3], [1, -3]], [[1, -3], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], 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  • id: 15172406
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 82, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '98.3', 'image_order': 98, 'indicator': 0, 'kernel': '98.a1.a1', 'kernel_order': 16, 'label': '1568.267.2g6', 'nt': [14, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, 0], [1, -3]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 0], [1, 2]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, -3], [1, -1]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 0], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], 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  • id: 15172407
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  • id: 15172408
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  • id: 15172409
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  • id: 15172410
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  • id: 15172411
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  • id: 15172412
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  • id: 15172413
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  • id: 15172415
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  • id: 15172416
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  • id: 15172417
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  • id: 15172418
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  • id: 15172419
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  • id: 15172420
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  • id: 15172421
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  • id: 15172422
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 97, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.e1.a1', 'kernel_order': 28, 'label': '1568.267.2j3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], 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  • id: 15172423
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  • id: 15172424
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 99, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.e1.a1', 'kernel_order': 28, 'label': '1568.267.2j5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], 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  • id: 15172140
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 100, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.e1.a1', 'kernel_order': 28, 'label': '1568.267.2j6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], 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  • id: 15172141
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 101, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.267.2k1', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], 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  • id: 15172142
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  • id: 15172143
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  • id: 15172144
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  • id: 15172145
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  • id: 15172146
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  • id: 15172147
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  • id: 15172148
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  • id: 15172149
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  • id: 15172151
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  • id: 15172152
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  • id: 15172153
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  • id: 15172154
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  • id: 15172155
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  • id: 15172156
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  • id: 15172157
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  • id: 15172158
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  • id: 15172159
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  • id: 15172160
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  • id: 15172162
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  • id: 15172163
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  • id: 15172164
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 122, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '196.10', 'image_order': 196, 'indicator': 0, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.267.2n4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[1, 3], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, 3]], [[1, -2], [1, -1]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[1, 0], [1, -1]], [[1, 2], [1, -1]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -3]], [[1, -3], [1, -2]], [[1, -3], [1, -1]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 2]], [[1, 1], [1, -3]], [[1, 0], [1, 3]], [[1, 2], [1, -2]], [[1, 0], [1, 1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172165
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 123, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '196.10', 'image_order': 196, 'indicator': 0, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.267.2n5', 'nt': [28, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 1], [1, -3]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, -3], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -2], [1, -1]], [[1, 1], [1, -2]], [[1, -3], [1, -2]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, 3], [1, -1]], [[1, 0], [1, -1]], [[1, 3], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, 3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172166
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  • id: 15172167
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 125, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '196.10', 'image_order': 196, 'indicator': 0, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.267.2o1', 'nt': [28, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[1, 0], [1, 2]], [[1, 2], [1, -1]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 3], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, 3]], [[1, 3], [1, -1]], [[1, 0], [1, -3]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, -3]], [[1, 1], [1, -3]], [[1, -3], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 3]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[1, -3], [1, -2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172168
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 126, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '196.10', 'image_order': 196, 'indicator': 0, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.267.2o2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, -2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -3], [1, -2]], [[1, 1], [1, -3]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, 2]], [[1, 3], [1, -2]], [[1, 3], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, -3], [1, -1]], [[1, 0], [1, -3]], [[1, 2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172169
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  • id: 15172170
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  • id: 15172171
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  • id: 15172173
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 130, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '196.10', 'image_order': 196, 'indicator': 0, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.267.2o6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, 0], [1, -3]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 0], [1, 2]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, -3], [1, -1]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 0], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172174
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  • id: 15172175
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 132, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2p2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 2], [1, 3]], [[1, 2], [1, -3]], [[1, 0], [1, -3]], [[1, 1], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -1]], [[1, 0], [1, -2]], [[1, -3], [1, -1]], [[1, 3], [1, -3]], [[1, -3], [1, -2]], [[1, 0], [1, 3]], [[1, 0], [1, 1]], [[1, 0], [1, 2]], [[1, -2], [1, -1]], [[1, 2], [1, -1]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172176
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  • id: 15172177
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  • id: 15172178
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  • id: 15172179
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  • id: 15172180
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 137, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2q1', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[1, -3], [1, -2]], [[1, 3], [1, -2]], [[1, 0], [1, 3]], [[1, 2], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 1], [1, -3]], [[1, 0], [1, 2]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[1, 2], [1, 3]], [[1, 0], [1, -3]], [[1, 0], [1, -1]], [[1, 0], [1, -2]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, -2], [1, -1]], [[1, -3], [1, -1]], [[1, 2], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172181
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  • id: 15172182
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 139, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2q3', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 3]], [[2, -1]], [[2, -3]], [[2, 1]], [[1, 1], [1, -2]], [[1, 1], [1, 2]], [[1, 0], [1, 2]], [[1, -3], [1, -1]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, -2]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -2]], [[1, 0], [1, -3]], [[1, 0], [1, 1]], [[1, 3], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -3]], [[1, -3], [1, -2]], [[1, -2], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172184
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 140, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2q4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[1, 2], [1, -1]], [[1, -2], [1, -1]], [[1, 0], [1, -2]], [[1, 1], [1, 3]], [[1, 0], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -3]], [[1, 0], [1, 1]], [[1, -3], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[1, 0], [1, 2]], [[1, 0], [1, 3]], [[1, 0], [1, -1]], [[1, 1], [1, -3]], [[1, -3], [1, -1]], [[1, 3], [1, -1]], [[1, 2], [1, 3]], [[1, 1], [1, 2]], [[1, 3], [1, -3]], [[1, 3], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172185
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 141, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2q5', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, -3], [1, -1]], [[1, 1], [1, -3]], [[1, 0], [1, 1]], [[1, 2], [1, 3]], [[1, 0], [1, -2]], [[1, 3], [1, -3]], [[1, -2], [1, -1]], [[1, 0], [1, 3]], [[1, 1], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, -1]], [[1, 0], [1, 2]], [[1, 0], [1, -3]], [[1, 3], [1, -2]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 2], [1, -1]], [[1, 3], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172186
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  • id: 15172187
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  • id: 15172188
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  • id: 15172189
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  • id: 15172190
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  • id: 15172191
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  • id: 15172192
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  • id: 15172193
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  • id: 15172195
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  • id: 15172196
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  • id: 15172197
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  • id: 15172198
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 153, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2s5', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 1], [1, 2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 1], [1, -3]], [[1, 2], [1, 3]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, -3], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -2], [1, -1]], [[1, 1], [1, -2]], [[1, -3], [1, -2]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, 3], [1, -1]], [[1, 0], [1, -1]], [[1, 3], [1, -2]], [[1, 0], [1, 2]], [[1, 1], [1, -1]], [[1, 0], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172199
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 154, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2s6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, -2], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 3], [1, -1]], [[1, -3], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, 2]], [[1, 2], [1, -1]], [[1, 2], [1, 3]], [[1, -3], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, -3]], [[1, 0], [1, 1]], [[1, 2], [1, -3]], [[1, 0], [1, -2]], [[1, 1], [1, -1]], [[1, 0], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172200
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  • id: 15172201
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 156, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2t2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, -2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -3], [1, -2]], [[1, 1], [1, -3]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, 2]], [[1, 3], [1, -2]], [[1, 3], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, -3], [1, -1]], [[1, 0], [1, -3]], [[1, 2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172202
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  • id: 15172203
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 158, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2t4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -3]], [[2, 1]], [[2, 3]], [[2, -1]], [[1, 0], [1, 1]], [[1, 1], [1, 3]], [[1, 1], [1, -3]], [[1, 0], [1, -3]], [[1, -2], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -2]], [[1, 3], [1, -2]], [[1, 0], [1, 2]], [[1, 3], [1, -3]], [[1, 0], [1, -1]], [[1, 3], [1, -1]], [[1, 1], [1, 2]], [[1, 2], [1, -3]], [[1, 2], [1, 3]], [[1, 0], [1, 3]], [[1, -3], [1, -2]], [[1, 0], [1, -2]], [[1, -3], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172204
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 159, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2t5', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 0], [1, 3]], [[1, 2], [1, 3]], [[1, 3], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, -3]], [[1, 3], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, 1]], [[1, -3], [1, -2]], [[1, 3], [1, -3]], [[1, -3], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172206
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 160, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2t6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, 0], [1, -3]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 0], [1, 2]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, -3], [1, -1]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 0], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172207
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 161, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2u1', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[1, 0], [1, 2]], [[1, 2], [1, -1]], [[1, 1], [1, 2]], [[1, 0], [1, 1]], [[1, 3], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, 3]], [[1, 3], [1, -1]], [[1, 0], [1, -3]], [[1, 1], [1, -1]], [[1, 0], [1, -2]], [[1, -2], [1, -1]], [[1, 2], [1, -3]], [[1, 1], [1, -3]], [[1, -3], [1, -1]], [[1, 0], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 3]], [[1, 1], [1, -2]], [[1, 2], [1, -2]], [[1, -3], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172208
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 162, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2u2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[1, 0], [1, -2]], [[1, 1], [1, -2]], [[1, -2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, -3]], [[1, 3], [1, -3]], [[1, -3], [1, -2]], [[1, 1], [1, -3]], [[1, 0], [1, 3]], [[1, 1], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, 2]], [[1, 3], [1, -2]], [[1, 3], [1, -1]], [[1, 1], [1, 3]], [[1, 0], [1, 1]], [[1, -3], [1, -1]], [[1, 0], [1, -3]], [[1, 2], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172209
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  • id: 15172210
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  • id: 15172211
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 165, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2u5', 'nt': [28, 47], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 3]], [[2, 2]], [[2, -3]], [[1, 0], [1, 3]], [[1, 2], [1, 3]], [[1, 3], [1, -2]], [[1, 0], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 2]], [[1, 0], [1, -1]], [[1, 2], [1, -2]], [[1, 0], [1, -3]], [[1, 2], [1, -3]], [[1, 3], [1, -1]], [[1, -2], [1, -1]], [[1, 2], [1, -1]], [[1, 0], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, 1]], [[1, -3], [1, -2]], [[1, 3], [1, -3]], [[1, -3], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172212
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 166, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.27', 'image_order': 392, 'indicator': 0, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.267.2u6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -3]], [[2, -2]], [[2, 3]], [[1, 0], [1, -3]], [[1, -3], [1, -2]], [[1, 2], [1, -3]], [[1, 0], [1, 2]], [[1, 3], [1, -1]], [[1, 1], [1, -1]], [[1, -3], [1, -1]], [[1, -2], [1, -1]], [[1, 0], [1, 1]], [[1, 2], [1, -2]], [[1, 0], [1, 3]], [[1, 3], [1, -2]], [[1, 1], [1, -3]], [[1, 1], [1, 2]], [[1, 1], [1, -2]], [[1, 0], [1, -2]], [[1, 2], [1, -1]], [[1, 0], [1, -1]], [[1, 2], [1, 3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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  • id: 15172213
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 167, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 2]], [[1, 0], [-1, 10]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [-1, 10]], 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  • id: 15172223
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 176, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 0], [-1, 2]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 0], [1, 4]], [[1, 0], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172224
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 177, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[1, 0], [1, 8]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 8], [-1, 10]], 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  • id: 15172225
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 178, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 0], [-1, 2]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 0], [1, 4]], [[1, 0], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172214
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 168, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [-1, 2]], [[1, 4], [-1, 6]], [[1, 0], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], 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  • id: 15172215
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 169, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 2]], [[1, 0], [-1, 10]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [-1, 10]], 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  • id: 15172217
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 170, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], [-1, 2]], [[1, 4], [-1, 6]], [[1, 0], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], 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  • id: 15172218
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 171, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 4], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 6]], [[1, 0], [-1, 2]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 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  • id: 15172219
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 172, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[1, 8], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 6]], [[1, 0], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], 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  • id: 15172220
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 173, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 4], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 6]], [[1, 0], [-1, 2]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 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  • id: 15172221
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 174, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[1, 8], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 6]], [[1, 0], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], 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  • id: 15172222
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 175, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2v9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[1, 0], [1, 8]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 8], [-1, 10]], 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  • id: 15172226
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 179, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], 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  • id: 15172236
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 188, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 6], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], 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  • id: 15172237
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 189, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 4], [1, 8]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 4], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172239
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 190, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 6], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], 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  • id: 15172228
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 180, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 2], [1, 4]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 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  • id: 15172229
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 181, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], 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  • id: 15172230
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 182, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 2], [1, 4]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 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  • id: 15172231
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 183, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[-1, 2], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[1, 4], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], 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  • id: 15172232
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 184, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 10]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [1, 4]], 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  • id: 15172233
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 185, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[-1, 2], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[1, 4], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], 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  • id: 15172234
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 186, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 10]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [1, 4]], 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  • id: 15172235
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 187, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2w9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 4], [1, 8]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 4], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172240
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 191, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[1, 0], [1, 8]], [[1, 8], [-1, 10]], [[1, 4], [1, 8]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 2]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 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  • id: 15172251
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 200, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 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  • id: 15172252
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 201, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 0], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 6], [-1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 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  • id: 15172253
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 202, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 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  • id: 15172241
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 192, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[1, 0], [-1, 6]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[1, 4], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 2]], 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  • id: 15172242
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 193, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[1, 0], [1, 8]], [[1, 8], [-1, 10]], [[1, 4], [1, 8]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 2]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 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  • id: 15172243
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 194, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[1, 0], [-1, 6]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 4]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[1, 4], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 2]], 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  • id: 15172244
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 195, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[-1, 2], [1, 4]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [1, 8]], 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  • id: 15172245
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 196, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 0], [-1, 2]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 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  • id: 15172246
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 197, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 8]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[-1, 2], [1, 4]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [1, 8]], 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  • id: 15172247
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 198, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 4]], [[1, 0], [-1, 2]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, 8]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 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  • id: 15172248
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 199, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.25', 'image_order': 392, 'indicator': 0, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.267.2x9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 8]], [[1, 0], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 6], [-1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 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  • id: 15172254
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 203, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 2]], [[1, 0], [-1, 10]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [-1, 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  • id: 15172264
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 212, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 0], [-1, 2]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 0], [1, 4]], [[1, 0], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172265
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 213, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[1, 0], [1, 8]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 8], [-1, 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  • id: 15172266
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 214, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [1, 8]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 0], [-1, 2]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[-1, 2], [-1, 10]], [[1, 0], [1, 4]], [[1, 0], [-1, 6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172255
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  • id: 15172256
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 205, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 4]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 2]], [[1, 0], [-1, 10]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 4], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 2], [-1, 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  • id: 15172257
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  • id: 15172258
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 207, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 4], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 6]], [[1, 0], [-1, 2]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 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  • id: 15172259
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  • id: 15172260
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 209, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[1, 4], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 8], [-1, 10]], [[1, 0], [-1, 6]], [[1, 0], [-1, 2]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 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  • id: 15172262
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 210, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[1, 8], [-1, 10]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 6]], [[1, 0], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], 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  • id: 15172263
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 211, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2y9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 0], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 10]], [[1, 0], [1, 8]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[-1, 2], [1, 8]], [[1, 8], [-1, 10]], 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  • id: 15172267
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 215, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], 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  • id: 15172277
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 224, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 6], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[1, 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  • id: 15172278
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 225, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 4], [1, 8]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 4], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172279
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 226, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 10]], [[2, 8]], [[-2, 2]], [[-2, 6]], [[2, 12]], [[-1, 6], [-1, 10]], [[1, 0], [1, 8]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 4], [1, 8]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 2], [-1, 10]], [[1, 0], [-1, 10]], [[-1, 2], [1, 4]], [[1, 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  • id: 15172268
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 216, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 2], [1, 4]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 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  • id: 15172269
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 217, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 12]], [[2, 4]], [[2, 8]], [[-2, 10]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [1, 4]], [[-1, 2], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 4], [1, -4]], [[1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 0], 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  • id: 15172270
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 218, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 12]], [[-2, 2]], [[-2, 10]], [[-2, 6]], [[2, 4]], [[2, 8]], [[-1, 2], [1, 4]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [1, 8]], [[1, 4], [-1, 6]], [[1, 4], [1, -4]], [[1, 0], [1, 8]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[1, 4], [1, 8]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[-1, 2], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 2], [-1, 6]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 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  • id: 15172271
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 219, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[-1, 2], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[1, 4], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], 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  • id: 15172273
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  • id: 15172274
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 221, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 8]], [[2, 12]], [[-2, 10]], [[-2, 2]], [[2, 4]], [[-1, 2], [1, 8]], [[1, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, 6]], [[1, 4], [1, 8]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[1, 4], [-1, 6]], [[-1, 2], [1, 4]], [[1, 4], [1, -4]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 8], [-1, 10]], [[1, 0], [1, 8]], [[-1, 6], [-1, 10]], [[1, 0], [-1, 6]], [[-1, 0], [1, 2], 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  • id: 15172275
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 222, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 6]], [[-2, 2]], [[2, 4]], [[2, 12]], [[-2, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 10]], [[1, 0], [-1, 2]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, 10]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[-1, 2], [-1, -2]], [[1, 0], [-1, 10]], [[1, 8], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 4], [1, -4]], [[-1, 2], [1, 8]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 10]], [[1, 4], [-1, 6]], [[1, 0], [-1, 6]], [[1, 4], [1, 8]], [[1, 0], [1, 8]], [[-1, 2], [1, 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  • id: 15172276
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 223, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '392.24', 'image_order': 392, 'indicator': 0, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.267.2z9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 4]], [[-2, 6]], [[2, 12]], [[2, 8]], [[-2, 2]], [[1, 4], [1, 8]], [[1, 0], [-1, 6]], [[1, 8], [-1, 10]], [[-1, 2], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 2]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 10]], [[1, 4], [-1, 6]], [[-1, 2], [-1, 6]], [[-1, 0], [1, 2], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4]], [[-1, 0], [1, 2], [-1, 4], [1, 6], [-1, 8]], [[1, 0], [-1, 10]], [[-1, 0], [1, 2], [-1, 4], [-1, 8], [1, 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  • id: 15172293
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  • id: 15172298
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  • id: 15172301
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  • id: 15172302
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  • id: 15172303
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  • id: 15172304
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  • id: 15172306
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  • id: 15172307
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  • id: 15172308
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  • id: 15172318
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  • id: 15172319
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  • id: 15172320
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  • id: 15172309
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  • id: 15172310
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  • id: 15172311
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  • id: 15172312
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  • id: 15172313
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  • id: 15172314
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  • id: 15172315
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  • id: 15172317
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  • id: 15172321
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  • id: 15172331
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  • id: 15172332
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  • id: 15172333
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  • id: 15172322
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  • id: 15172323
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  • id: 15172324
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  • id: 15172325
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  • id: 15172326
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  • id: 15172328
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  • id: 15172329
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  • id: 15172330
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  • id: 15172334
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  • id: 15172344
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  • id: 15172345
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  • id: 15172346
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  • id: 15172335
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  • id: 15172336
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  • id: 15172337
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  • id: 15172339
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  • id: 15172340
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  • id: 15172341
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 14, 'counter': 282, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '1568.267', 'image_order': 1568, 'indicator': 0, 'kernel': '1568.a1.a1', 'kernel_order': 1, 'label': '1568.267.4f7', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 8]], [[4, 12]], [[-4, 10]], [[-4, 2]], [[4, 4]], [[2, 0], [-2, 10]], [[-2, 2], [-2, 10]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [-2, 8]], [[2, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[2, 4], [2, 8]], [[-2, 6], [-2, -6]], [[2, 8], [-2, 10]], [[-2, 2], [2, 8]], [[2, 0], [-2, 6]], [[-2, 2], [-2, -2]], [[2, 0], [2, 4]], [[-2, 2], [2, 4]], [[-2, 6], [-2, 10]], [[-2, 0], [2, 2], [-2, 4], [-2, 8], [2, 10]], [[-2, 2], [-2, 6]], [[2, 0], [-2, 2]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [2, 10]], [[2, 0], [2, 8]], [[-2, 0], [2, 2], [2, 6], [-2, 8], [2, 10]], [[2, 4], [2, -4]], [[2, 4], [-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 12]], [[4, 2]], [[4, 10]], [[4, 6]], [[-4, 8]], [[-4, 4]], [[0, 0]], [[-2, 0], [2, 2]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 8], [2, 10]], [[2, 0], [-2, 2], [2, 4], [2, 8], [-2, 10]], [[2, 0], [-2, 2], [-2, 6], [2, 8], [-2, 10]], [[0, 0]], [[-2, 0], [-2, 8]], [[2, 6], [2, 10]], [[-2, 0], [2, 6]], [[0, 0]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [-2, 10]], [[-2, 4], [2, 6]], [[0, 0]], [[2, 2], [2, 10]], [[-2, 4], [-2, 8]], [[2, 2], [2, 6]], [[2, 2], [-2, 8]], [[-2, 0], [-2, 4]], [[-2, 4], [-2, -4]], [[-2, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [2, 8]], [[0, 0]], [[2, 2], [-2, 4]], [[-2, 0], [2, 10]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [2, -3]], [[-2, 1], [2, 5]], [[-2, 7], [2, 11]], [[0, 0]], [[-2, 1], [2, 3], [-2, 5], [4, 7], [-2, 9], [2, 11]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [2, 3], [-4, 5], [2, 7], [-2, 9], [2, 11]], [[0, 0]], [[2, 5], [2, 7]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [2, 9], [-4, 11]], [[2, 5], [2, -5]], [[2, 9], [2, 11]], [[0, 0]], [[-2, 5], [-2, 7]], [[0, 0]], [[-2, 3], [-2, 9]], [[0, 0]], [[2, 3], [2, 9]], [[-2, 1], [-2, 3]], [[-2, 3], [-2, 5]], [[0, 0]], [[-2, 9], [-2, 11]], [[0, 0]], [[2, 1], [2, 3]], [[-2, 1], [2, 9]], [[2, 3], [-2, 7]], [[2, 3], [2, 5]], [[2, 5], [2, 11]], [[0, 0]], [[2, 1], [-2, 9]], [[2, 1], [2, -1]], [[2, 1], [-2, 3], [2, 5], [-4, 7], [2, 9], [-2, 11]], [[0, 0]], [[2, 1], [-2, 3], [4, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-2, 9], [4, 11]], [[-2, 3], [2, 7]], [[-2, 5], [-2, -5]], [[2, 7], [2, 9]], [[-2, 7], [-2, 9]], [[2, 1], [-4, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 1], [2, 11]], [[2, 1], [-2, 5]], [[2, 7], [-2, 11]], [[-2, 1], [-2, 7]], [[-2, 5], [-2, 11]], [[-2, 1], [4, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 1], [-2, 11]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [4, 9], [-2, 11]], [[2, 1], [2, 7]], [[0, 0]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-4, 9], [2, 11]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15172342
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 14, 'counter': 283, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '1568.267', 'image_order': 1568, 'indicator': 0, 'kernel': '1568.a1.a1', 'kernel_order': 1, 'label': '1568.267.4f8', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 8]], [[-4, 6]], [[-4, 2]], [[4, 4]], [[4, 12]], [[-4, 10]], [[2, 0], [2, 4]], [[-2, 0], [2, 2], [2, 6], [-2, 8], [2, 10]], [[-2, 2], [2, 4]], [[2, 0], [-2, 2]], [[-2, 6], [-2, 10]], [[-2, 6], [-2, -6]], [[2, 4], [-2, 6]], [[-2, 0], [2, 2], [-2, 4], [-2, 8], [2, 10]], [[2, 0], [2, 8]], [[-2, 2], [-2, -2]], [[2, 0], [-2, 10]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [-2, 8]], [[2, 4], [2, 8]], [[-2, 2], [2, 8]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [2, 10]], [[2, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[-2, 2], [-2, 6]], [[2, 0], [-2, 6]], [[-2, 2], [-2, 10]], [[2, 4], [2, -4]], [[2, 8], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[-4, 12]], [[-4, 4]], [[-4, 8]], [[4, 6]], [[4, 10]], [[0, 0]], [[-2, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [2, 6]], [[2, 2], [-2, 8]], [[2, 2], [2, 10]], [[0, 0]], [[-2, 0], [2, 6]], [[-2, 4], [-2, 8]], [[-2, 0], [-2, 8]], [[0, 0]], [[2, 2], [2, 6]], [[-2, 8], [2, 10]], [[0, 0]], [[2, 0], [-2, 2], [-2, 6], [2, 8], [-2, 10]], [[2, 6], [2, 10]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [-2, 10]], [[2, 0], [-2, 2], [2, 4], [2, 8], [-2, 10]], [[-2, 0], [2, 10]], [[-2, 4], [-2, -4]], [[-2, 0], [2, 2]], [[2, 2], [-2, 4]], [[0, 0]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [2, 8]], [[-2, 0], [-2, 4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [2, -3]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-4, 9], [2, 11]], [[-2, 3], [2, 7]], [[0, 0]], [[-2, 1], [-2, 7]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [2, 9]], [[0, 0]], [[-2, 7], [-2, 9]], [[2, 1], [2, 3]], [[2, 5], [2, -5]], [[-2, 3], [-2, 5]], [[0, 0]], [[2, 7], [2, 9]], [[0, 0]], [[2, 5], [2, 11]], [[0, 0]], [[-2, 5], [-2, 11]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-2, 9], [4, 11]], [[2, 9], [2, 11]], [[0, 0]], [[2, 3], [2, 5]], [[0, 0]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [2, 9], [-4, 11]], [[-2, 1], [2, 3], [-4, 5], [2, 7], [-2, 9], [2, 11]], [[2, 7], [-2, 11]], [[-2, 9], [-2, 11]], [[-2, 3], [-2, 9]], [[0, 0]], [[2, 1], [-2, 3], [4, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 1], [2, -1]], [[2, 1], [2, 7]], [[0, 0]], [[2, 1], [-2, 9]], [[-2, 1], [-2, 3]], [[-2, 7], [2, 11]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, 7]], [[2, 5], [2, 7]], [[2, 1], [2, 11]], [[2, 1], [-4, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [4, 9], [-2, 11]], [[2, 3], [-2, 7]], [[-2, 1], [2, 3], [-2, 5], [4, 7], [-2, 9], [2, 11]], [[2, 3], [2, 9]], [[-2, 1], [-2, 11]], [[-2, 1], [4, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 1], [-2, 5]], [[2, 1], [-2, 3], [2, 5], [-4, 7], [2, 9], [-2, 11]], [[0, 0]], [[-2, 1], [2, 5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15172343
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 14, 'counter': 284, 'cyclotomic_n': 28, 'dim': 4, 'faithful': True, 'field': [1, 0, 1], 'group': '1568.267', 'group_counter': 267, 'group_order': 1568, 'image': None, 'image_isoclass': '1568.267', 'image_order': 1568, 'indicator': 0, 'kernel': '1568.a1.a1', 'kernel_order': 1, 'label': '1568.267.4f9', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 10]], [[4, 4]], [[-4, 6]], [[4, 12]], [[4, 8]], [[-4, 2]], [[2, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [2, 10]], [[-2, 0], [2, 2], [-2, 4], [-2, 8], [2, 10]], [[2, 0], [-2, 6]], [[-2, 2], [2, 4]], [[2, 4], [2, -4]], [[-2, 0], [2, 2], [2, 6], [-2, 8], [2, 10]], [[2, 4], [2, 8]], [[2, 0], [-2, 10]], [[-2, 6], [-2, -6]], [[2, 0], [-2, 2]], [[-2, 2], [2, 8]], [[-2, 0], [2, 2], [-2, 4], [2, 6], [-2, 8]], [[-2, 6], [-2, 10]], [[2, 8], [-2, 10]], [[2, 0], [2, 8]], [[2, 4], [-2, 6]], [[2, 0], [2, 4]], [[-2, 2], [-2, 6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[-4, 8]], [[-4, 12]], [[4, 10]], [[-4, 4]], [[4, 2]], [[0, 0]], [[-2, 0], [-2, 8]], [[0, 0]], [[2, 6], [2, -6]], [[2, 0], [-2, 2], [-2, 6], [2, 8], [-2, 10]], [[2, 6], [2, 10]], [[2, 2], [2, 6]], [[0, 0]], [[-2, 0], [-2, 4]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [2, 8]], [[-2, 0], [2, 10]], [[0, 0]], [[-2, 4], [2, 6]], [[2, 2], [2, 10]], [[0, 0]], [[2, 0], [-2, 2], [2, 4], [-2, 6], [-2, 10]], [[2, 2], [-2, 4]], [[-2, 8], [2, 10]], [[-2, 4], [-2, 8]], [[-2, 0], [2, 2]], [[2, 2], [2, -2]], [[-2, 0], [2, 6]], [[2, 0], [-2, 2], [2, 4], [2, 8], [-2, 10]], [[0, 0]], [[2, 2], [-2, 8]], [[-2, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-2, 9], [4, 11]], [[-2, 7], [-2, 9]], [[0, 0]], [[-2, 3], [2, 7]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 1], [-4, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[0, 0]], [[-2, 1], [2, 3], [-2, 5], [4, 7], [-2, 9], [2, 11]], [[2, 3], [2, 9]], [[-2, 1], [-2, -1]], [[2, 1], [-2, 9]], [[0, 0]], [[2, 1], [-2, 3], [2, 5], [-4, 7], [2, 9], [-2, 11]], [[0, 0]], [[-2, 1], [2, 5]], [[0, 0]], [[2, 1], [-2, 5]], [[2, 5], [2, 11]], [[2, 1], [-2, 3], [4, 5], [-2, 7], [2, 9], [-2, 11]], [[0, 0]], [[-2, 1], [2, 9]], [[0, 0]], [[-2, 5], [-2, 11]], [[2, 1], [2, 11]], [[-2, 5], [-2, 7]], [[-2, 1], [2, 3], [-4, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 1], [2, 3], [-2, 5], [2, 7], [-4, 9], [2, 11]], [[0, 0]], [[-2, 1], [-2, 11]], [[2, 3], [2, -3]], [[2, 3], [-2, 7]], [[0, 0]], [[-2, 1], [4, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 9]], [[2, 5], [2, 7]], [[2, 1], [2, -1]], [[2, 1], [2, 7]], [[-2, 1], [-2, 7]], [[2, 3], [2, 5]], [[-2, 9], [-2, 11]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [2, 9], [-4, 11]], [[2, 7], [2, 9]], [[-2, 7], [2, 11]], [[2, 1], [-2, 3], [2, 5], [-2, 7], [4, 9], [-2, 11]], [[-2, 3], [-2, 5]], [[2, 9], [2, 11]], [[2, 1], [2, 3]], [[2, 7], [-2, 11]], [[0, 0]], [[-2, 1], [-2, 3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 76742430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': True, 'core_order': 1568, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '1568.267.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '1568.267', 'subgroup_hash': 267, 'subgroup_order': 1568, 'subgroup_tex': 'C_{28}.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 784, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, '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': '784.136', 'subgroup_hash': 136, 'subgroup_order': 784, 'subgroup_tex': 'C_{28}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 784, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '784.100', 'subgroup_hash': 100, 'subgroup_order': 784, 'subgroup_tex': '\\OD_{16}\\times C_7^2', 'supersolvable': True, 'sylow': 0}
  • id: 76742470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 784, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '784.70', 'subgroup_hash': 70, 'subgroup_order': 784, 'subgroup_tex': 'C_{28}.C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 392, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', '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': '392.33', 'subgroup_hash': 33, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 392, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.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': '392.26', 'subgroup_hash': 26, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 392, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.b1', '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': '392.26', 'subgroup_hash': 26, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.23', 'subgroup_hash': 23, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.14', 'subgroup_hash': 14, 'subgroup_order': 392, 'subgroup_tex': 'C_7:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.23', 'subgroup_hash': 23, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742439
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 196, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.16', 'subgroup_hash': 16, 'subgroup_order': 392, 'subgroup_tex': 'C_7\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 14, 'characteristic': True, 'core_order': 224, 'counter': 12, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1568.267.7.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 7, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '224.30', 'subgroup_hash': 30, 'subgroup_order': 224, 'subgroup_tex': 'C_4.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 112, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.7.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7.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': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.50', 'subgroup_hash': 50, 'subgroup_order': 224, 'subgroup_tex': 'C_{28}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742442
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 196, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.12', 'subgroup_hash': 12, 'subgroup_order': 196, 'subgroup_tex': 'C_{14}^2', 'supersolvable': True, 'sylow': 0}
  • id: 76742443
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 196, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.7', 'subgroup_hash': 7, 'subgroup_order': 196, 'subgroup_tex': 'C_7\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 196, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.7', 'subgroup_hash': 7, 'subgroup_order': 196, 'subgroup_tex': 'C_7\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 112, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 112, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 112, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 112, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.9', 'subgroup_hash': 9, 'subgroup_order': 112, 'subgroup_tex': 'C_7:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.39', 'subgroup_hash': 39, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 16, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 16, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.14.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.g1.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': False, 'core_order': 16, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.14.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.g1.c1', '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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 98, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.16.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': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 49, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742460
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 56, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 56, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{14}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.28.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742466
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.c1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742472
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742473
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.i1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.j1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.28.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.k1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742476
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 28, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.l1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742477
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 28, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.m1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742478
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742479
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742480
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.c1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742482
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.d1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742483
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.e1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742484
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.28.n1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.n1.f1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76742485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 49, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 7, 'label': '1568.267.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': 2, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
  • id: 76742486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 14, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1568.267.49.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '49.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': 49, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.8', 'subgroup_hash': 8, 'subgroup_order': 32, 'subgroup_tex': 'C_4.D_4', 'supersolvable': True, 'sylow': 2}
  • id: 76742487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 28, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742489
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742490
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 28, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742491
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742493
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.56.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.56.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.56.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.c1', '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742497
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742498
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742499
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.c1', '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742500
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742501
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 4, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742502
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 4, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.c1', '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742504
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.j1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742505
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.56.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.j1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76742506
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.56.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.k1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742507
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.56.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.k1.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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 196, 'characteristic': True, 'core_order': 16, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.98.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '98.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '98.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 98, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.98.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.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': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.98.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.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': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76742511
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 14, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742512
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 14, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.112.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742513
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 2, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.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': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742515
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.c1.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': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742516
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.c1.c1', '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': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742517
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 7, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742518
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 7, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742519
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742520
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.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': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742521
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.112.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.c1', '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': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76742522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 8, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.196.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.196.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.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': 196, 'quotient_simple': 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: 76742524
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.196.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.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': 196, 'quotient_simple': 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: 76742526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.196.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.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': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742527
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.196.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': 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: 76742528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 4, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.267.196.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76742529
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.196.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': 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: 76742530
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 7, 'counter': 94, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1568.267.224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76742531
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 7, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.50', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}.D_4', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76742532
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.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': 224, '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': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76742533
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.224.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1.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': 224, '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': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76742534
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.224.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1.c1', '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': 224, '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': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76742535
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 4, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.267.392.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.24', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 76742432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 4, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.392.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742433
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 4, 'counter': 101, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.392.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76742434
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.392.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 392, 'quotient_simple': 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: 76742435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.392.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.d1.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': 392, 'quotient_simple': 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: 76742436
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 2, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.267.784.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '784.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '784.74', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 74, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 784, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 76742437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.267.784.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '784.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': 784, '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: 76742438
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.267', 'ambient_counter': 267, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 1, 'counter': 106, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1568.267.1568.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1568.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1568.267', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 267, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}.D_{28}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 76742430
    {'ambient': '1568.267', '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': '112.a1.a1', 'complements': ['1568.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '7.a1.a1', '7.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8004, 3177, 6567, 3535, 6050, 4955, 5752, 5434], 'generators': [1, 784, 4, 798, 196, 224, 392], 'label': '1568.267.1.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', '7.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '112.13', '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': '112.13'}
  • id: 76742431
    {'ambient': '1568.267', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2016.m', 'aut_weyl_index': 8, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.d1.b1', '28.j1.a1', '28.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3327, -1, 3486, -1, 3847, -1, 4217, -1], 'generators': [1, 4, 784, 392, 224], 'label': '1568.267.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742432
    {'ambient': '1568.267', 'aut_centralizer_order': 8064, 'aut_label': '392.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.c1.a1', '56.d1.a1', '56.h1.a1', '56.h1.b1', '56.h1.c1', '196.a1.a1', '196.c1.a1', '196.d1.a1'], 'contains': ['784.a1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5382, 6189, 5275, 6265, 4808, 6144, 5243, 6464], 'generators': [1190], 'label': '1568.267.392.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '392.b1.a1', 'normal_contained_in': ['56.c1.a1', '56.d1.a1', '196.a1.a1'], 'normal_contains': ['784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.b1.a1', 'projective_image': '784.74', 'quotient_action_image': '2.1', 'quotient_action_kernel': '196.10', 'quotient_action_kernel_order': 196, 'quotient_fusion': None, 'short_label': '392.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742433
    {'ambient': '1568.267', 'aut_centralizer_order': 8064, 'aut_label': '392.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.e1.a1', '56.f1.a1', '56.i1.a1', '56.i1.b1', '56.i1.c1', '196.a1.a1', '196.e1.a1', '196.f1.a1'], 'contains': ['784.a1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4040, 5464, 6505, 6779, 5878, 6956, 6705, 7183], 'generators': [392], 'label': '1568.267.392.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '392.c1.a1', 'normal_contained_in': ['56.e1.a1', '56.f1.a1', '196.a1.a1'], 'normal_contains': ['784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.c1.a1', 'projective_image': '784.74', 'quotient_action_image': '2.1', 'quotient_action_kernel': '196.12', 'quotient_action_kernel_order': 196, 'quotient_fusion': None, 'short_label': '392.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742434
    {'ambient': '1568.267', 'aut_centralizer_order': 288, 'aut_label': '392.d1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.j1.a1', '56.k1.a1', '196.b1.a1', '196.c1.a1', '196.e1.a1'], 'contains': ['784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3067, -1, 2675, -1, 2914, -1, 3245, -1], 'generators': [1], 'label': '1568.267.392.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '392.d1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742435
    {'ambient': '1568.267', 'aut_centralizer_order': 288, 'aut_label': '392.d1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.j1.b1', '56.k1.b1', '196.b1.b1', '196.c1.a1', '196.e1.a1'], 'contains': ['784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3067, -1, 3178, -1, 2914, -1, 3422, -1], 'generators': [393], 'label': '1568.267.392.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '392.d1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742436
    {'ambient': '1568.267', 'aut_centralizer_order': 16128, 'aut_label': '784.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['112.a1.a1', '112.b1.a1', '112.c1.a1', '112.c1.b1', '112.c1.c1', '392.a1.a1', '392.b1.a1', '392.c1.a1', '392.d1.a1', '392.d1.b1'], 'contains': ['1568.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2924, 6189, 3454, 6265, 3340, 5177, 3835, 5574], 'generators': [784], 'label': '1568.267.784.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '784.a1.a1', 'normal_contained_in': ['112.a1.a1', '112.b1.a1', '392.a1.a1', '392.b1.a1', '392.c1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '784.a1.a1', 'projective_image': '784.74', 'quotient_action_image': '1.1', 'quotient_action_kernel': '784.74', 'quotient_action_kernel_order': 784, 'quotient_fusion': None, 'short_label': '784.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742437
    {'ambient': '1568.267', 'aut_centralizer_order': 8064, 'aut_label': '784.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['112.d1.a1', '112.e1.a1', '112.f1.a1', '112.f1.b1', '112.f1.c1', '392.a1.a1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [733, -1, 818, -1, 1974, -1, 1840, -1], 'generators': [798], 'label': '1568.267.784.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '392.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '784.b1.a1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '784.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742438
    {'ambient': '1568.267', 'aut_centralizer_order': None, 'aut_label': '1568.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': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '224.c1.b1', '224.c1.c1', '784.a1.a1', '784.b1.a1'], 'contains': [], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [733, 6189, 818, 6265, 2468, 4391, 2371, 4952], 'generators': [], 'label': '1568.267.1568.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1568.a1.a1', 'normal_contained_in': ['224.a1.a1', '224.b1.a1', '784.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1568.a1.a1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1568.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742439
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '144.197', 'aut_weyl_index': 112, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '28.l1.a1', '28.m1.a1', '28.n1.a1', '28.n1.b1', '28.n1.c1', '28.n1.d1', '28.n1.e1', '28.n1.f1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6412, -1, 8165, -1, 9751, -1, 9547, -1], 'generators': [196, 224, 392, 4, 784], 'label': '1568.267.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.f1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742440
    {'ambient': '1568.267', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2688.dt', 'aut_weyl_index': 6, 'centralizer': '112.a1.a1', 'complements': ['224.a1.a1', '224.c1.b1', '224.c1.a1', '224.c1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.c1.a1', '14.d1.a1', '49.a1.a1'], 'core': '7.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8004, 1783, 6567, 2875, 6859, 5964, 5752, 6308], 'generators': [1, 224, 798, 392, 196, 784], 'label': '1568.267.7.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['14.a1.a1', '14.c1.a1', '14.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '784.74', 'quotient_action_image': '1.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '112.13'}
  • id: 76742441
    {'ambient': '1568.267', 'aut_centralizer_order': 6, 'aut_label': '7.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.19922', 'aut_weyl_index': 42, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.b1.a1', '14.e1.a1', '14.f1.a1', '49.a1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8719, -1, 8677, -1, 6050, -1, 6333, -1], 'generators': [1, 784, 4, 798, 196, 392], 'label': '1568.267.7.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '7.b1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 76742442
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.50', 'aut_weyl_index': 224, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '16.b1.a1', '56.a1.a1', '56.b1.a1', '56.g1.a1', '56.g1.b1', '56.g1.c1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2400, 6920, 2929, 4500, 1288, 1817, 1303, 2913], 'generators': [798, 4, 224, 784], 'label': '1568.267.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '56.a1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742443
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.50', 'aut_weyl_index': 224, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '56.c1.a1', '56.d1.a1', '56.h1.a1', '56.h1.b1', '56.h1.c1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4900, 5991, 4805, 6243, 4376, 2980, 4741, 3921], 'generators': [1190, 224, 784, 4], 'label': '1568.267.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.c1.a1', '56.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '112.13', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742444
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '72.50', 'aut_weyl_index': 224, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '56.e1.a1', '56.f1.a1', '56.i1.a1', '56.i1.b1', '56.i1.c1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3788, 4877, 5540, 7376, 6612, 4374, 7842, 5130], 'generators': [392, 224, 784, 4], 'label': '1568.267.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.e1.a1', '56.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '112.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742445
    {'ambient': '1568.267', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '504.178', 'aut_weyl_index': 32, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '56.j1.a1', '56.k1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1981, -1, 2029, -1, 1762, -1, 2455, -1], 'generators': [1, 784, 224, 4], 'label': '1568.267.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742446
    {'ambient': '1568.267', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '504.178', 'aut_weyl_index': 32, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.c1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '56.j1.b1', '56.k1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1981, -1, 2643, -1, 1762, -1, 2866, -1], 'generators': [393, 784, 224, 4], 'label': '1568.267.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742483
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.c1'], 'contains': ['56.i1.c1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 8021, -1, 8976, -1, 9047, -1], 'generators': [196, 392, 784, 900], 'label': '1568.267.28.n1.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.e1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742447
    {'ambient': '1568.267', 'aut_centralizer_order': 12, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11444', 'aut_weyl_index': 12, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.c1.a1', '28.c1.b1', '28.g1.a1', '28.k1.a1', '98.b1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5146, 1728, 3765, 1271, 3274, 2416, 3400, 3425], 'generators': [1, 392, 784, 798, 224], 'label': '1568.267.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1', '28.c1.b1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.4'}
  • id: 76742448
    {'ambient': '1568.267', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.e1.a1', '14.a1.a1', '14.e1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5206, 3941, 3971, 2222, 3274, 2031, 3604, 2898], 'generators': [1, 224, 392, 4, 798, 784], 'label': '1568.267.2.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.b1', '4.b1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '112.13', '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': '56.4'}
  • id: 76742449
    {'ambient': '1568.267', 'aut_centralizer_order': 168, 'aut_label': '14.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '28.l1.a1', '98.a1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7594, 8313, 8553, 8980, 7566, 9128, 7433, 9244], 'generators': [196, 4, 392, 798, 784], 'label': '1568.267.14.b1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['28.a1.a1', '98.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742450
    {'ambient': '1568.267', 'aut_centralizer_order': 168, 'aut_label': '14.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.m1.a1', '98.a1.a1'], 'core': '14.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8267, 3053, 6623, 4383, 8328, 7230, 6887, 7598], 'generators': [196, 224, 392, 798, 784], 'label': '1568.267.14.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.c1.a1', 'normal_contained_in': ['2.b1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1', '98.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742451
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '14.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 24, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.i1.a1', '98.c1.a1'], 'core': '14.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9103, 546, 6209, 2730, 6427, 5519, 5056, 6115], 'generators': [197, 1190, 784, 392, 224], 'label': '1568.267.14.d1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.d1.a1', 'normal_contained_in': ['2.c1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 76742452
    {'ambient': '1568.267', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '192.1534', 'aut_weyl_index': 84, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '28.e1.a1', '28.e1.b1', '28.f1.a1', '28.j1.a1', '98.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5876, -1, 4408, -1, 2705, -1, 3808, -1], 'generators': [1, 392, 4, 798, 784], 'label': '1568.267.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.e1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 76742453
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '28.h1.a1', '98.c1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9709, -1, 7240, -1, 5741, -1, 5548, -1], 'generators': [197, 4, 1190, 392, 784], 'label': '1568.267.14.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.f1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742454
    {'ambient': '1568.267', 'aut_centralizer_order': 28, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.d1.a1', '28.n1.a1', '28.n1.b1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6921, -1, 9326, -1, 9089, -1, 9072, -1], 'generators': [196, 452, 392, 798, 784], 'label': '1568.267.14.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '14.g1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742455
    {'ambient': '1568.267', 'aut_centralizer_order': 28, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.d1.b1', '28.n1.c1', '28.n1.d1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6921, -1, 9944, -1, 9089, -1, 8526, -1], 'generators': [196, 228, 392, 798, 784], 'label': '1568.267.14.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '14.g1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742456
    {'ambient': '1568.267', 'aut_centralizer_order': 28, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.221', 'aut_weyl_index': 168, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.d1.c1', '28.n1.e1', '28.n1.f1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6921, -1, 7857, -1, 9089, -1, 7980, -1], 'generators': [196, 676, 392, 798, 784], 'label': '1568.267.14.g1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '14.g1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742457
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 448, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1', '112.c1.b1', '112.c1.c1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2440, 5936, 2582, 6515, 3580, 1030, 4145, 3269], 'generators': [784, 224, 4], 'label': '1568.267.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '112.a1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742458
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.14', 'aut_weyl_index': 448, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '112.d1.a1', '112.e1.a1', '112.f1.a1', '112.f1.b1', '112.f1.c1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [494, -1, 636, -1, 252, -1, 178, -1], 'generators': [798, 224, 4], 'label': '1568.267.16.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '224.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742459
    {'ambient': '1568.267', 'aut_centralizer_order': 28, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8646', 'aut_weyl_index': 28, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '14.b1.a1', '14.c1.a1', '14.g1.a1', '14.g1.b1', '14.g1.c1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7063, 5437, 7836, 5778, 7662, 7939, 7706, 8021], 'generators': [196, 784, 4, 224, 798, 392], 'label': '1568.267.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.b1.a1', '14.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742460
    {'ambient': '1568.267', 'aut_centralizer_order': 672, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.b1.a1', '14.e1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.c1.a1', '56.e1.a1', '196.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5976, 8511, 6347, 8980, 4935, 7161, 5989, 7546], 'generators': [798, 4, 784, 392], 'label': '1568.267.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.b1.a1'], 'normal_contains': ['56.a1.a1', '56.c1.a1', '56.e1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742461
    {'ambient': '1568.267', 'aut_centralizer_order': 672, 'aut_label': '28.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.c1.a1', '14.d1.a1'], 'contains': ['56.b1.a1', '56.d1.a1', '56.f1.a1', '196.a1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6470, 2644, 4826, 4257, 5494, 5767, 5588, 6338], 'generators': [798, 224, 784, 392], 'label': '1568.267.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1', '14.c1.a1', '14.d1.a1'], 'normal_contains': ['56.b1.a1', '56.d1.a1', '56.f1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '784.74', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742462
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1'], 'contains': ['56.b1.a1', '56.k1.a1', '196.b1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1364, 3771, 1250, 938, 815, 637, 562, 652], 'generators': [1, 784, 224, 798], 'label': '1568.267.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1'], 'normal_contains': ['56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.4'}
  • id: 76742484
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.c1'], 'contains': ['56.i1.c1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 8202, -1, 8976, -1, 8831, -1], 'generators': [196, 392, 784, 676], 'label': '1568.267.28.n1.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.f1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742463
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.a1.a1'], 'contains': ['56.b1.a1', '56.k1.b1', '196.b1.b1'], 'core': '28.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1364, 3771, 2449, 2097, 815, 637, 1643, 1890], 'generators': [393, 784, 224, 798], 'label': '1568.267.28.c1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '28.c1.b1', 'normal_contained_in': ['4.b1.b1', '14.a1.a1'], 'normal_contains': ['56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.b1', 'subgroup_fusion': None, 'weyl_group': '56.4'}
  • id: 76742464
    {'ambient': '1568.267', 'aut_centralizer_order': 112, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.g1.a1'], 'contains': ['56.g1.a1', '56.h1.a1', '56.i1.a1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5248, -1, 6765, -1, 6053, -1, 7441, -1], 'generators': [798, 452, 784, 392], 'label': '1568.267.28.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.d1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742465
    {'ambient': '1568.267', 'aut_centralizer_order': 112, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.g1.b1'], 'contains': ['56.g1.b1', '56.h1.b1', '56.i1.b1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5248, -1, 7444, -1, 6053, -1, 7039, -1], 'generators': [798, 228, 784, 392], 'label': '1568.267.28.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.d1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742466
    {'ambient': '1568.267', 'aut_centralizer_order': 112, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.g1.c1'], 'contains': ['56.g1.c1', '56.h1.c1', '56.i1.c1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5248, -1, 6010, -1, 6053, -1, 6638, -1], 'generators': [798, 676, 784, 392], 'label': '1568.267.28.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.d1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742467
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.45', 'aut_weyl_index': 336, 'centralizer': '28.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.j1.a1', '196.b1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2209, -1, 3185, -1, 249, -1, 968, -1], 'generators': [1, 4, 784, 798], 'label': '1568.267.28.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.e1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 76742468
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.45', 'aut_weyl_index': 336, 'centralizer': '28.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.j1.b1', '196.b1.b1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2209, -1, 4330, -1, 249, -1, 2049, -1], 'generators': [393, 4, 784, 798], 'label': '1568.267.28.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.e1.b1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 76742469
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.45', 'aut_weyl_index': 336, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.e1.a1'], 'contains': ['56.c1.a1', '56.j1.a1', '56.j1.b1', '196.c1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4794, -1, 3494, -1, 2283, -1, 3469, -1], 'generators': [1, 4, 784, 1190], 'label': '1568.267.28.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '28.f1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742470
    {'ambient': '1568.267', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '14.d1.a1', '14.f1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9161, 2411, 6209, 4042, 5182, 3946, 5172, 4559], 'generators': [197, 224, 4, 1190, 392, 784], 'label': '1568.267.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 76742471
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.a1.a1'], 'contains': ['56.d1.a1', '56.k1.a1', '56.k1.b1', '196.c1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4446, -1, 1832, -1, 2677, -1, 3186, -1], 'generators': [1, 784, 224, 1190], 'label': '1568.267.28.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.g1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742472
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '28.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.f1.a1'], 'contains': ['56.c1.a1', '196.d1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9585, -1, 5749, -1, 7045, -1, 5277, -1], 'generators': [197, 1190, 784, 4], 'label': '1568.267.28.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.h1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742473
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.d1.a1'], 'contains': ['56.d1.a1', '196.d1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9112, -1, 5563, -1, 7353, -1, 5056, -1], 'generators': [197, 784, 224, 1190], 'label': '1568.267.28.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '28.i1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742474
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.45', 'aut_weyl_index': 336, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.e1.a1'], 'contains': ['56.e1.a1', '56.j1.a1', '56.j1.b1', '196.e1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3406, -1, 3859, -1, 3542, -1, 4372, -1], 'generators': [1, 4, 784, 392], 'label': '1568.267.28.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '28.j1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742475
    {'ambient': '1568.267', 'aut_centralizer_order': 24, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.a1.a1'], 'contains': ['56.f1.a1', '56.k1.a1', '56.k1.b1', '196.e1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3058, -1, 2180, -1, 3937, -1, 4089, -1], 'generators': [1, 784, 224, 392], 'label': '1568.267.28.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.k1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742476
    {'ambient': '1568.267', 'aut_centralizer_order': 336, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.b1.a1'], 'contains': ['56.e1.a1', '196.f1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6967, -1, 8385, -1, 8348, -1, 8614, -1], 'generators': [196, 392, 784, 4], 'label': '1568.267.28.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.l1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742477
    {'ambient': '1568.267', 'aut_centralizer_order': 336, 'aut_label': '28.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.c1.a1'], 'contains': ['56.f1.a1', '196.f1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7500, -1, 7105, -1, 8650, -1, 8398, -1], 'generators': [196, 392, 784, 224], 'label': '1568.267.28.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.m1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742478
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.a1'], 'contains': ['56.i1.a1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 8757, -1, 8976, -1, 9914, -1], 'generators': [196, 392, 784, 1124], 'label': '1568.267.28.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742479
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.a1'], 'contains': ['56.i1.a1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 9057, -1, 8976, -1, 9697, -1], 'generators': [196, 392, 784, 452], 'label': '1568.267.28.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742480
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.b1'], 'contains': ['56.i1.b1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 9740, -1, 8976, -1, 9481, -1], 'generators': [196, 392, 784, 228], 'label': '1568.267.28.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742481
    {'ambient': '1568.267', 'aut_centralizer_order': 112, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.197', 'aut_weyl_index': 112, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '28.a1.a1', '28.b1.a1', '28.d1.a1', '28.d1.b1', '28.d1.c1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5551, 5437, 5749, 5806, 4461, 3946, 6055, 4752], 'generators': [798, 4, 224, 392, 784], 'label': '1568.267.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '28.a1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742482
    {'ambient': '1568.267', 'aut_centralizer_order': 56, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.g1.b1'], 'contains': ['56.i1.b1', '196.f1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7233, -1, 9444, -1, 8976, -1, 9264, -1], 'generators': [196, 392, 784, 1348], 'label': '1568.267.28.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.n1.d1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742485
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 448, 'centralizer': '2.b1.a1', 'complements': ['49.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1'], 'contains': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '224.c1.b1', '224.c1.c1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [494, 6695, 636, 6431, 2369, 2817, 2319, 3618], 'generators': [4, 224], 'label': '1568.267.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['224.a1.a1', '224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '224.30', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742486
    {'ambient': '1568.267', 'aut_centralizer_order': 36, 'aut_label': '49.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '64.226', 'aut_weyl_index': 252, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '7.b1.a1'], 'contains': ['98.a1.a1', '98.b1.a1', '98.c1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8633, -1, 7519, -1, 6959, -1, 6451, -1], 'generators': [1, 196], 'label': '1568.267.49.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '49.a1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.3'}
  • id: 76742487
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.e1.a1', '28.e1.b1'], 'contains': ['112.a1.a1', '112.d1.a1', '392.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1593, 9454, 3475, 7327, 1281, 4579, 1318, 5137], 'generators': [798, 4, 784], 'label': '1568.267.56.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742488
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.b1.a1', '28.c1.a1', '28.c1.b1'], 'contains': ['112.b1.a1', '112.e1.a1', '392.a1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [982, 5424, 1534, 3382, 1840, 2424, 917, 2061], 'generators': [798, 224, 784], 'label': '1568.267.56.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.a1.a1', '28.b1.a1', '28.c1.b1', '28.c1.a1'], 'normal_contains': ['112.b1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '784.74', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742489
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1', '28.f1.a1', '28.h1.a1'], 'contains': ['112.a1.a1', '392.b1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5364, 8593, 5275, 8466, 4506, 6409, 5026, 6723], 'generators': [1190, 784, 4], 'label': '1568.267.56.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': ['8.b1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '392.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.c1.a1', 'projective_image': '112.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742490
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.b1.a1', '28.g1.a1', '28.i1.a1'], 'contains': ['112.b1.a1', '392.b1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6188, 4044, 3737, 4257, 4808, 3502, 4810, 4203], 'generators': [1190, 784, 224], 'label': '1568.267.56.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': ['8.b1.a1', '28.b1.a1'], 'normal_contains': ['112.b1.a1', '392.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.a1', 'projective_image': '784.74', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742491
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.a1.a1', '28.j1.a1', '28.l1.a1'], 'contains': ['112.a1.a1', '392.c1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4030, 7193, 5641, 9389, 5878, 7161, 6705, 7376], 'generators': [392, 784, 4], 'label': '1568.267.56.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.e1.a1', 'normal_contained_in': ['8.c1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '392.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.e1.a1', 'projective_image': '112.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742492
    {'ambient': '1568.267', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2016.m', 'aut_weyl_index': 8, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '28.c1.a1', '28.e1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1981, 4126, 2767, 611, 1288, 876, 1303, 652], 'generators': [1, 4, 784, 798, 224], 'label': '1568.267.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.4'}
  • id: 76742493
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '56.f1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.b1.a1', '28.k1.a1', '28.m1.a1'], 'contains': ['112.b1.a1', '392.c1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3749, 3443, 4832, 5397, 6180, 5656, 6488, 6071], 'generators': [392, 784, 224], 'label': '1568.267.56.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.f1.a1', 'normal_contained_in': ['8.c1.a1', '28.b1.a1'], 'normal_contains': ['112.b1.a1', '392.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.f1.a1', 'projective_image': '784.74', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742494
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.d1.a1'], 'contains': ['112.c1.a1', '112.f1.a1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2715, -1, 4076, -1, 3021, -1, 2521, -1], 'generators': [798, 452, 784], 'label': '1568.267.56.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742495
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.d1.b1'], 'contains': ['112.c1.b1', '112.f1.b1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2715, -1, 4414, -1, 3021, -1, 2120, -1], 'generators': [798, 228, 784], 'label': '1568.267.56.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742496
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.d1.c1'], 'contains': ['112.c1.c1', '112.f1.c1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2715, -1, 2143, -1, 3021, -1, 1719, -1], 'generators': [798, 676, 784], 'label': '1568.267.56.g1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742497
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.d1.a1'], 'contains': ['112.c1.a1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4373, -1, 5458, -1, 5110, -1, 5676, -1], 'generators': [1190, 784, 452], 'label': '1568.267.56.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742498
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.d1.b1'], 'contains': ['112.c1.b1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4373, -1, 5824, -1, 5110, -1, 5459, -1], 'generators': [1190, 784, 228], 'label': '1568.267.56.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742499
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.d1.c1'], 'contains': ['112.c1.c1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4373, -1, 5015, -1, 5110, -1, 5243, -1], 'generators': [1190, 784, 676], 'label': '1568.267.56.h1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742500
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.d1.a1', '28.n1.a1', '28.n1.b1'], 'contains': ['112.c1.a1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5630, -1, 7983, -1, 6482, -1, 7642, -1], 'generators': [392, 784, 452], 'label': '1568.267.56.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742501
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.d1.b1', '28.n1.c1', '28.n1.d1'], 'contains': ['112.c1.b1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5630, -1, 8914, -1, 6482, -1, 7357, -1], 'generators': [392, 784, 228], 'label': '1568.267.56.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742502
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.d1.c1', '28.n1.e1', '28.n1.f1'], 'contains': ['112.c1.c1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5630, -1, 6714, -1, 6482, -1, 7005, -1], 'generators': [392, 784, 676], 'label': '1568.267.56.i1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742503
    {'ambient': '1568.267', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2016.m', 'aut_weyl_index': 8, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.b1', '28.c1.b1', '28.e1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1981, 4126, 3859, 2222, 1288, 876, 2049, 2090], 'generators': [393, 4, 784, 798, 224], 'label': '1568.267.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '28.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '56.4'}
  • id: 76742504
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '28.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.e1.a1', '28.f1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '392.d1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3213, -1, 2797, -1, 2273, -1, 3619, -1], 'generators': [1, 784, 4], 'label': '1568.267.56.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '56.j1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742505
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '28.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.e1.b1', '28.f1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '392.d1.b1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3213, -1, 3215, -1, 2273, -1, 3835, -1], 'generators': [393, 784, 4], 'label': '1568.267.56.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '56.j1.b1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742506
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.c1.a1', '28.g1.a1', '28.k1.a1'], 'contains': ['112.b1.a1', '392.d1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2212, -1, 1191, -1, 2581, -1, 3171, -1], 'generators': [1, 224, 784], 'label': '1568.267.56.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.k1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742507
    {'ambient': '1568.267', 'aut_centralizer_order': 48, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.c1.b1', '28.g1.a1', '28.k1.a1'], 'contains': ['112.b1.a1', '392.d1.b1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2212, -1, 1799, -1, 2581, -1, 3397, -1], 'generators': [393, 224, 784], 'label': '1568.267.56.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.k1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742508
    {'ambient': '1568.267', 'aut_centralizer_order': 1008, 'aut_label': '98.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.b1.a1', '14.c1.a1', '14.g1.a1', '14.g1.b1', '14.g1.c1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.f1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7870, 6374, 8179, 6313, 8026, 8290, 8166, 8525], 'generators': [196, 798], 'label': '1568.267.98.a1.a1', 'mobius_quo': 0, 'mobius_sub': -7, 'normal_closure': '98.a1.a1', 'normal_contained_in': ['14.b1.a1', '14.c1.a1'], 'normal_contains': ['196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '98.a1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742509
    {'ambient': '1568.267', 'aut_centralizer_order': 72, 'aut_label': '98.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.49', 'aut_weyl_index': 504, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '14.e1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.b1.a1', '196.b1.b1', '196.c1.a1', '196.e1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6321, -1, 4910, -1, 3072, -1, 3806, -1], 'generators': [1, 798, 392], 'label': '1568.267.98.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '98.b1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 76742510
    {'ambient': '1568.267', 'aut_centralizer_order': 144, 'aut_label': '98.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1008, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.d1.a1', '14.f1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.d1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8891, -1, 7217, -1, 7683, -1, 6313, -1], 'generators': [197, 392], 'label': '1568.267.98.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '98.c1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 76742511
    {'ambient': '1568.267', 'aut_centralizer_order': 2688, 'aut_label': '112.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.c1.a1', '56.e1.a1', '56.j1.a1', '56.j1.b1'], 'contains': ['224.a1.a1', '784.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2731, 8101, 3399, 8605, 3189, 4493, 3835, 5619], 'generators': [784, 4], 'label': '1568.267.112.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1', '56.c1.a1', '56.e1.a1'], 'normal_contains': ['224.a1.a1', '784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '112.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '112.13', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742512
    {'ambient': '1568.267', 'aut_centralizer_order': 2688, 'aut_label': '112.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.b1.a1', '56.d1.a1', '56.f1.a1', '56.k1.a1', '56.k1.b1'], 'contains': ['224.b1.a1', '784.a1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2097, 4468, 1534, 4340, 3491, 3544, 3619, 4248], 'generators': [784, 224], 'label': '1568.267.112.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.a1.a1', '56.b1.a1', '56.d1.a1', '56.f1.a1'], 'normal_contains': ['224.b1.a1', '784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': '784.74', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.8', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742513
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.a1', '56.h1.a1', '56.i1.a1'], 'contains': ['224.c1.a1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2997, -1, 4139, -1, 3792, -1, 4485, -1], 'generators': [784, 452], 'label': '1568.267.112.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.c1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742514
    {'ambient': '1568.267', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2016.m', 'aut_weyl_index': 8, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '28.f1.a1', '28.g1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4594, -1, 3141, -1, 2136, -1, 2989, -1], 'generators': [1, 4, 784, 1190, 224], 'label': '1568.267.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '112.13', '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': '28.3'}
  • id: 76742515
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.b1', '56.h1.b1', '56.i1.b1'], 'contains': ['224.c1.b1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2997, -1, 4368, -1, 3792, -1, 4268, -1], 'generators': [784, 228], 'label': '1568.267.112.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.c1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742516
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.c1', '56.h1.c1', '56.i1.c1'], 'contains': ['224.c1.c1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2997, -1, 2006, -1, 3792, -1, 4052, -1], 'generators': [784, 676], 'label': '1568.267.112.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.c1.c1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742517
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.a1.a1'], 'contains': ['224.a1.a1', '784.b1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [581, -1, 648, -1, 1346, -1, 1389, -1], 'generators': [798, 4], 'label': '1568.267.112.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.d1.a1', 'projective_image': '224.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742518
    {'ambient': '1568.267', 'aut_centralizer_order': 1344, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.b1.a1'], 'contains': ['224.b1.a1', '784.b1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [178, -1, 122, -1, 1775, -1, 1010, -1], 'generators': [798, 224], 'label': '1568.267.112.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.e1.a1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742519
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.a1'], 'contains': ['224.c1.a1', '784.b1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [967, -1, 933, -1, 2077, -1, 2110, -1], 'generators': [798, 452], 'label': '1568.267.112.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '112.f1.a1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742520
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.b1'], 'contains': ['224.c1.b1', '784.b1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [967, -1, 1195, -1, 2077, -1, 1894, -1], 'generators': [798, 228], 'label': '1568.267.112.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '112.f1.b1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742521
    {'ambient': '1568.267', 'aut_centralizer_order': 224, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.c1'], 'contains': ['224.c1.c1', '784.b1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [967, -1, 385, -1, 2077, -1, 1677, -1], 'generators': [798, 676], 'label': '1568.267.112.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '112.f1.c1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742522
    {'ambient': '1568.267', 'aut_centralizer_order': 4032, 'aut_label': '196.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '28.b1.a1', '28.d1.a1', '28.d1.b1', '28.d1.c1', '98.a1.a1', '98.b1.a1', '98.c1.a1'], 'contains': ['392.a1.a1', '392.b1.a1', '392.c1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6321, 6189, 6505, 6188, 5494, 8119, 6212, 8206], 'generators': [798, 392], 'label': '1568.267.196.a1.a1', 'mobius_quo': 0, 'mobius_sub': 14, 'normal_closure': '196.a1.a1', 'normal_contained_in': ['28.a1.a1', '28.b1.a1', '98.a1.a1'], 'normal_contains': ['392.a1.a1', '392.b1.a1', '392.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.a1.a1', 'projective_image': '784.74', 'quotient_action_image': '4.2', 'quotient_action_kernel': '49.2', 'quotient_action_kernel_order': 49, 'quotient_fusion': None, 'short_label': '196.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742523
    {'ambient': '1568.267', 'aut_centralizer_order': 144, 'aut_label': '196.b1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '28.e1.a1', '98.b1.a1'], 'contains': ['392.a1.a1', '392.d1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2046, -1, 2408, -1, 767, -1, 548, -1], 'generators': [1, 798], 'label': '1568.267.196.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '196.b1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 76742524
    {'ambient': '1568.267', 'aut_centralizer_order': 144, 'aut_label': '196.b1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '28.e1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.b1', '28.e1.b1', '98.b1.a1'], 'contains': ['392.a1.a1', '392.d1.b1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2046, -1, 4107, -1, 767, -1, 2890, -1], 'generators': [393, 798], 'label': '1568.267.196.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '196.b1.b1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 76742525
    {'ambient': '1568.267', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1008.928', 'aut_weyl_index': 16, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.b1.a1', '28.h1.a1', '28.i1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9918, -1, 5213, -1, 5076, -1, 4630, -1], 'generators': [197, 1190, 784, 4, 224], 'label': '1568.267.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.d1.a1', 'projective_image': '112.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 76742526
    {'ambient': '1568.267', 'aut_centralizer_order': 144, 'aut_label': '196.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.f1.a1', '28.g1.a1', '98.b1.a1'], 'contains': ['392.b1.a1', '392.d1.a1', '392.d1.b1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5036, -1, 2901, -1, 3985, -1, 4436, -1], 'generators': [1, 1190], 'label': '1568.267.196.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '196.c1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742527
    {'ambient': '1568.267', 'aut_centralizer_order': 288, 'aut_label': '196.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.h1.a1', '28.i1.a1', '98.c1.a1'], 'contains': ['392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9036, -1, 6091, -1, 7199, -1, 5873, -1], 'generators': [197], 'label': '1568.267.196.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '196.d1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742528
    {'ambient': '1568.267', 'aut_centralizer_order': 144, 'aut_label': '196.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 2016, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.j1.a1', '28.k1.a1', '98.b1.a1'], 'contains': ['392.c1.a1', '392.d1.a1', '392.d1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3634, -1, 3725, -1, 4232, -1, 4613, -1], 'generators': [1, 392], 'label': '1568.267.196.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '196.e1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 76742529
    {'ambient': '1568.267', 'aut_centralizer_order': 2016, 'aut_label': '196.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.l1.a1', '28.m1.a1', '28.n1.a1', '28.n1.b1', '28.n1.c1', '28.n1.d1', '28.n1.e1', '28.n1.f1', '98.a1.a1'], 'contains': ['392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7367, -1, 8585, -1, 8348, -1, 8939, -1], 'generators': [196], 'label': '1568.267.196.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '98.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '196.f1.a1', 'projective_image': '784.74', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742530
    {'ambient': '1568.267', 'aut_centralizer_order': 2688, 'aut_label': '224.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '1.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.d1.a1'], 'contains': ['1568.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [485, 8259, 563, 8730, 2221, 4391, 2194, 4952], 'generators': [4], 'label': '1568.267.224.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': '224.30', 'quotient_action_image': '1.1', 'quotient_action_kernel': '224.30', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742531
    {'ambient': '1568.267', 'aut_centralizer_order': 2688, 'aut_label': '224.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': ['7.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.b1.a1', '112.e1.a1'], 'contains': ['1568.a1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [82, 4453, 56, 4674, 2468, 3544, 2017, 4248], 'generators': [224], 'label': '1568.267.224.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '224.b1.a1', 'normal_contained_in': ['32.a1.a1', '112.b1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.b1.a1', 'projective_image': '1568.267', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.23', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 76742532
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.c1.a1', '112.f1.a1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1000, -1, 1180, -1, 2715, -1, 2725, -1], 'generators': [452], 'label': '1568.267.224.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.a1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742533
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.c1.b1', '112.f1.b1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1000, -1, 1330, -1, 2715, -1, 2548, -1], 'generators': [228], 'label': '1568.267.224.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.b1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742534
    {'ambient': '1568.267', 'aut_centralizer_order': 448, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.c1.c1', '112.f1.c1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1000, -1, 284, -1, 2715, -1, 2371, -1], 'generators': [676], 'label': '1568.267.224.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.c1', 'projective_image': '1568.267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 76742535
    {'ambient': '1568.267', 'aut_centralizer_order': 8064, 'aut_label': '392.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.a1.a1', '56.b1.a1', '56.g1.a1', '56.g1.b1', '56.g1.c1', '196.a1.a1', '196.b1.a1', '196.b1.b1'], 'contains': ['784.a1.a1', '784.b1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2046, 6749, 3594, 5604, 2650, 5220, 2521, 4989], 'generators': [798, 784], 'label': '1568.267.392.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '392.a1.a1', 'normal_contained_in': ['56.a1.a1', '56.b1.a1', '196.a1.a1'], 'normal_contains': ['784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.a1.a1', 'projective_image': '784.74', 'quotient_action_image': '2.1', 'quotient_action_kernel': '196.10', 'quotient_action_kernel_order': 196, 'quotient_fusion': None, 'short_label': '392.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}