Abstract group data - 672.497

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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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 42, 'aut_gen_orders': [7, 6, 6, 2, 6, 6, 6, 6, 6], 'aut_gens': [[1, 2, 8], [385, 2, 8], [97, 6, 44], [581, 566, 184], [5, 342, 12], [581, 562, 428], [289, 226, 636], [101, 454, 428], [241, 2, 200], [625, 118, 488]], 'aut_group': None, 'aut_hash': 6441793362254340223, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16128, 'aut_permdeg': 44, 'aut_perms': [1052252049965609989350677153487849213209120634670692930, 733393705625144014252007076323264825294619498547630385, 1530799590346782282488343222026759389616261597906749408, 721176380771468858253951634598269365896340934527432234, 1711882769759117358300829582726235286212214631228413305, 18261948791395036327250450491759034253384809414854140, 1991826775371076718197346271801822570728076446526676165, 2565542980881167058492315831464554507970565034263953731, 2642841774471681016796262394790539168987984588355385131], 'aut_phi_ratio': 84.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 28, 1, 1], [2, 84, 1, 1], [3, 2, 1, 1], [4, 2, 2, 1], [4, 6, 2, 2], [4, 28, 1, 1], [4, 84, 1, 1], [6, 2, 1, 3], [6, 28, 2, 1], [7, 2, 3, 1], [12, 4, 2, 1], [12, 28, 2, 1], [14, 2, 3, 3], [21, 4, 3, 1], [28, 2, 12, 1], [28, 6, 12, 2], [42, 4, 3, 3], [84, 4, 12, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^6\\times S_3\\times F_7', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '252.26', 'autcentquo_hash': 26, 'autcentquo_nilpotent': False, 'autcentquo_order': 252, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 28, 1], [2, 84, 1], [3, 2, 1], [4, 2, 2], [4, 6, 4], [4, 28, 1], [4, 84, 1], [6, 2, 3], [6, 28, 2], [7, 2, 3], [12, 4, 2], [12, 28, 2], [14, 2, 9], [21, 4, 3], [28, 2, 12], [28, 6, 24], [42, 4, 9], [84, 4, 12]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '168.50', 'commutator_count': 1, 'commutator_label': '84.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 497, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 28, 1, 1], [2, 84, 1, 1], [3, 2, 1, 1], [4, 2, 2, 1], [4, 6, 1, 2], [4, 6, 2, 1], [4, 28, 1, 1], [4, 84, 1, 1], [6, 2, 1, 3], [6, 28, 2, 1], [7, 2, 3, 1], [12, 4, 2, 1], [12, 28, 2, 1], [14, 2, 3, 3], [21, 4, 3, 1], [28, 2, 12, 1], [28, 6, 6, 2], [28, 6, 12, 1], [42, 4, 3, 3], [84, 4, 12, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5376, 'exponent': 84, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '168.50', 'hash': 497, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 42, 'inner_gen_orders': [2, 2, 42], 'inner_gens': [[1, 338, 108], [337, 2, 232], [581, 450, 8]], 'inner_hash': 50, 'inner_nilpotent': False, 'inner_order': 168, 'inner_split': True, 'inner_tex': 'S_3\\times D_{14}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 62], [4, 26]], 'label': '672.497', 'linC_count': 96, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 8, 'linQ_dim': 14, 'linQ_dim_count': 72, 'linR_count': 24, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C2*C12).D14', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 44, 'number_conjugacy_classes': 96, 'number_divisions': 32, 'number_normal_subgroups': 48, 'number_subgroup_autclasses': 140, 'number_subgroup_classes': 152, 'number_subgroups': 1224, 'old_label': None, 'order': 672, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 115], [3, 2], [4, 140], [6, 62], [7, 6], [12, 64], [14, 18], [21, 12], [28, 168], [42, 36], [84, 48]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 2, 2, 6], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[1, 2, 232], [1, 6, 8], [1, 338, 8], [1, 338, 12], [1, 2, 632]], 'outer_group': '96.231', 'outer_hash': 231, 'outer_nilpotent': True, 'outer_order': 96, 'outer_permdeg': 13, 'outer_perms': [3628800, 479001600, 744, 24, 40323], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 4], [6, 4], [8, 1], [12, 4], [24, 5]], 'representations': {'PC': {'code': 4280206594382605545199298044218029542721953547, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, 2, -2, -3, -7, 4733, 36, 3027, 3258, 80, 7284, 8131, 102, 17477, 5388, 166, 28230]}, 'Perm': {'d': 22, 'gens': [2439325392333309384, 99633467065, 174844391280, 274480053360, 274467916800, 3, 55969571858264064000]}}, 'schur_multiplier': [2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_{12}).D_{14}', 'transitive_degree': 336, '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: 139942815
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 497, 'group_order': 672, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 139942826
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 497, 'group_order': 672, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 340, 'size': 1}
  • id: 139942837
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 497, 'group_order': 672, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 4, 'size': 1}
  • id: 139942848
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 497, 'group_order': 672, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 336, 'size': 1}
  • id: 139942859
    {'aut_label': '2D', 'centralizer': '28.d1.a1', 'counter': 5, 'group_counter': 497, 'group_order': 672, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 341, 'size': 28}
  • id: 139942870
    {'aut_label': '2E', 'centralizer': '84.c1.a1', 'counter': 6, 'group_counter': 497, 'group_order': 672, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 47, 'size': 84}
  • id: 139942881
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 7, 'group_counter': 497, 'group_order': 672, 'label': '3A', 'order': 3, 'powers': [7, 1, 7], 'representative': 448, 'size': 2}
  • id: 139942892
    {'aut_label': '4A1', 'centralizer': '2.f1.a1', 'counter': 8, 'group_counter': 497, 'group_order': 672, 'label': '4A1', 'order': 4, 'powers': [4, 9, 9], 'representative': 168, 'size': 2}
  • id: 139942903
    {'aut_label': '4A1', 'centralizer': '2.f1.a1', 'counter': 9, 'group_counter': 497, 'group_order': 672, 'label': '4A-1', 'order': 4, 'powers': [4, 8, 8], 'representative': 504, 'size': 2}
  • id: 139942816
    {'aut_label': '4B', 'centralizer': '6.f1.a1', 'counter': 10, 'group_counter': 497, 'group_order': 672, 'label': '4B', 'order': 4, 'powers': [2, 10, 10], 'representative': 62, 'size': 6}
  • id: 139942817
    {'aut_label': '4B', 'centralizer': '6.f1.a1', 'counter': 11, 'group_counter': 497, 'group_order': 672, 'label': '4C', 'order': 4, 'powers': [2, 11, 11], 'representative': 174, 'size': 6}
  • id: 139942818
    {'aut_label': '4D1', 'centralizer': '6.f1.a1', 'counter': 12, 'group_counter': 497, 'group_order': 672, 'label': '4D1', 'order': 4, 'powers': [3, 13, 13], 'representative': 6, 'size': 6}
  • id: 139942819
    {'aut_label': '4D1', 'centralizer': '6.f1.a1', 'counter': 13, 'group_counter': 497, 'group_order': 672, 'label': '4D-1', 'order': 4, 'powers': [3, 12, 12], 'representative': 2, 'size': 6}
  • id: 139942820
    {'aut_label': '4E', 'centralizer': '28.f1.a1', 'counter': 14, 'group_counter': 497, 'group_order': 672, 'label': '4E', 'order': 4, 'powers': [2, 14, 14], 'representative': 557, 'size': 28}
  • id: 139942821
    {'aut_label': '4F', 'centralizer': '84.g1.a1', 'counter': 15, 'group_counter': 497, 'group_order': 672, 'label': '4F', 'order': 4, 'powers': [2, 15, 15], 'representative': 343, 'size': 84}
  • id: 139942822
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 497, 'group_order': 672, 'label': '6A', 'order': 6, 'powers': [7, 3, 16], 'representative': 228, 'size': 2}
  • id: 139942823
    {'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 497, 'group_order': 672, 'label': '6B', 'order': 6, 'powers': [7, 2, 17], 'representative': 116, 'size': 2}
  • id: 139942824
    {'aut_label': '6C', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 497, 'group_order': 672, 'label': '6C', 'order': 6, 'powers': [7, 4, 18], 'representative': 112, 'size': 2}
  • id: 139942825
    {'aut_label': '6D1', 'centralizer': '28.d1.a1', 'counter': 19, 'group_counter': 497, 'group_order': 672, 'label': '6D1', 'order': 6, 'powers': [7, 5, 19], 'representative': 565, 'size': 28}
  • id: 139942827
    {'aut_label': '6D1', 'centralizer': '28.d1.a1', 'counter': 20, 'group_counter': 497, 'group_order': 672, 'label': '6D-1', 'order': 6, 'powers': [7, 5, 20], 'representative': 117, 'size': 28}
  • id: 139942828
    {'aut_label': '7A1', 'centralizer': '2.f1.a1', 'counter': 21, 'group_counter': 497, 'group_order': 672, 'label': '7A1', 'order': 7, 'powers': [22, 23, 1], 'representative': 480, 'size': 2}
  • id: 139942829
    {'aut_label': '7A1', 'centralizer': '2.f1.a1', 'counter': 22, 'group_counter': 497, 'group_order': 672, 'label': '7A2', 'order': 7, 'powers': [23, 21, 1], 'representative': 288, 'size': 2}
  • id: 139942830
    {'aut_label': '7A1', 'centralizer': '2.f1.a1', 'counter': 23, 'group_counter': 497, 'group_order': 672, 'label': '7A3', 'order': 7, 'powers': [21, 22, 1], 'representative': 96, 'size': 2}
  • id: 139942831
    {'aut_label': '12A1', 'centralizer': '4.c1.a1', 'counter': 24, 'group_counter': 497, 'group_order': 672, 'label': '12A1', 'order': 12, 'powers': [18, 8, 25], 'representative': 56, 'size': 4}
  • id: 139942832
    {'aut_label': '12A1', 'centralizer': '4.c1.a1', 'counter': 25, 'group_counter': 497, 'group_order': 672, 'label': '12A-1', 'order': 12, 'powers': [18, 9, 24], 'representative': 616, 'size': 4}
  • id: 139942833
    {'aut_label': '12B1', 'centralizer': '28.f1.a1', 'counter': 26, 'group_counter': 497, 'group_order': 672, 'label': '12B1', 'order': 12, 'powers': [17, 14, 27], 'representative': 441, 'size': 28}
  • id: 139942834
    {'aut_label': '12B1', 'centralizer': '28.f1.a1', 'counter': 27, 'group_counter': 497, 'group_order': 672, 'label': '12B5', 'order': 12, 'powers': [17, 14, 26], 'representative': 665, 'size': 28}
  • id: 139942835
    {'aut_label': '14A1', 'centralizer': '2.f1.a1', 'counter': 28, 'group_counter': 497, 'group_order': 672, 'label': '14A1', 'order': 14, 'powers': [21, 29, 2], 'representative': 244, 'size': 2}
  • id: 139942836
    {'aut_label': '14A1', 'centralizer': '2.f1.a1', 'counter': 29, 'group_counter': 497, 'group_order': 672, 'label': '14A3', 'order': 14, 'powers': [23, 30, 2], 'representative': 52, 'size': 2}
  • id: 139942838
    {'aut_label': '14A1', 'centralizer': '2.f1.a1', 'counter': 30, 'group_counter': 497, 'group_order': 672, 'label': '14A5', 'order': 14, 'powers': [22, 28, 2], 'representative': 532, 'size': 2}
  • id: 139942839
    {'aut_label': '14B1', 'centralizer': '2.f1.a1', 'counter': 31, 'group_counter': 497, 'group_order': 672, 'label': '14B1', 'order': 14, 'powers': [22, 32, 3], 'representative': 196, 'size': 2}
  • id: 139942840
    {'aut_label': '14B1', 'centralizer': '2.f1.a1', 'counter': 32, 'group_counter': 497, 'group_order': 672, 'label': '14B3', 'order': 14, 'powers': [21, 33, 3], 'representative': 580, 'size': 2}
  • id: 139942841
    {'aut_label': '14B1', 'centralizer': '2.f1.a1', 'counter': 33, 'group_counter': 497, 'group_order': 672, 'label': '14B5', 'order': 14, 'powers': [23, 31, 3], 'representative': 292, 'size': 2}
  • id: 139942842
    {'aut_label': '14C1', 'centralizer': '2.f1.a1', 'counter': 34, 'group_counter': 497, 'group_order': 672, 'label': '14C1', 'order': 14, 'powers': [23, 35, 4], 'representative': 48, 'size': 2}
  • id: 139942843
    {'aut_label': '14C1', 'centralizer': '2.f1.a1', 'counter': 35, 'group_counter': 497, 'group_order': 672, 'label': '14C3', 'order': 14, 'powers': [22, 36, 4], 'representative': 144, 'size': 2}
  • id: 139942844
    {'aut_label': '14C1', 'centralizer': '2.f1.a1', 'counter': 36, 'group_counter': 497, 'group_order': 672, 'label': '14C5', 'order': 14, 'powers': [21, 34, 4], 'representative': 240, 'size': 2}
  • id: 139942845
    {'aut_label': '21A1', 'centralizer': '4.c1.a1', 'counter': 37, 'group_counter': 497, 'group_order': 672, 'label': '21A1', 'order': 21, 'powers': [38, 21, 7], 'representative': 64, 'size': 4}
  • id: 139942846
    {'aut_label': '21A1', 'centralizer': '4.c1.a1', 'counter': 38, 'group_counter': 497, 'group_order': 672, 'label': '21A2', 'order': 21, 'powers': [39, 22, 7], 'representative': 128, 'size': 4}
  • id: 139942847
    {'aut_label': '21A1', 'centralizer': '4.c1.a1', 'counter': 39, 'group_counter': 497, 'group_order': 672, 'label': '21A4', 'order': 21, 'powers': [37, 23, 7], 'representative': 256, 'size': 4}
  • id: 139942849
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 40, 'group_counter': 497, 'group_order': 672, 'label': '28A1', 'order': 28, 'powers': [34, 42, 8], 'representative': 24, 'size': 2}
  • id: 139942850
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 41, 'group_counter': 497, 'group_order': 672, 'label': '28A-1', 'order': 28, 'powers': [34, 43, 9], 'representative': 648, 'size': 2}
  • id: 139942851
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 42, 'group_counter': 497, 'group_order': 672, 'label': '28A3', 'order': 28, 'powers': [35, 46, 9], 'representative': 72, 'size': 2}
  • id: 139942852
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 43, 'group_counter': 497, 'group_order': 672, 'label': '28A-3', 'order': 28, 'powers': [35, 47, 8], 'representative': 600, 'size': 2}
  • id: 139942853
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 44, 'group_counter': 497, 'group_order': 672, 'label': '28A5', 'order': 28, 'powers': [36, 51, 8], 'representative': 120, 'size': 2}
  • id: 139942854
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 45, 'group_counter': 497, 'group_order': 672, 'label': '28A-5', 'order': 28, 'powers': [36, 50, 9], 'representative': 552, 'size': 2}
  • id: 139942855
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 46, 'group_counter': 497, 'group_order': 672, 'label': '28A9', 'order': 28, 'powers': [36, 41, 8], 'representative': 216, 'size': 2}
  • id: 139942856
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 47, 'group_counter': 497, 'group_order': 672, 'label': '28A-9', 'order': 28, 'powers': [36, 40, 9], 'representative': 456, 'size': 2}
  • id: 139942857
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 48, 'group_counter': 497, 'group_order': 672, 'label': '28A11', 'order': 28, 'powers': [35, 44, 9], 'representative': 264, 'size': 2}
  • id: 139942858
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 49, 'group_counter': 497, 'group_order': 672, 'label': '28A-11', 'order': 28, 'powers': [35, 45, 8], 'representative': 408, 'size': 2}
  • id: 139942860
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 50, 'group_counter': 497, 'group_order': 672, 'label': '28A13', 'order': 28, 'powers': [34, 48, 8], 'representative': 312, 'size': 2}
  • id: 139942861
    {'aut_label': '28A1', 'centralizer': '2.f1.a1', 'counter': 51, 'group_counter': 497, 'group_order': 672, 'label': '28A-13', 'order': 28, 'powers': [34, 49, 9], 'representative': 360, 'size': 2}
  • id: 139942862
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 52, 'group_counter': 497, 'group_order': 672, 'label': '28B1', 'order': 28, 'powers': [28, 53, 10], 'representative': 10, 'size': 6}
  • id: 139942863
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 53, 'group_counter': 497, 'group_order': 672, 'label': '28B3', 'order': 28, 'powers': [29, 55, 10], 'representative': 202, 'size': 6}
  • id: 139942864
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 54, 'group_counter': 497, 'group_order': 672, 'label': '28B5', 'order': 28, 'powers': [30, 57, 10], 'representative': 42, 'size': 6}
  • id: 139942865
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 55, 'group_counter': 497, 'group_order': 672, 'label': '28B9', 'order': 28, 'powers': [30, 52, 10], 'representative': 74, 'size': 6}
  • id: 139942866
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 56, 'group_counter': 497, 'group_order': 672, 'label': '28B11', 'order': 28, 'powers': [29, 54, 10], 'representative': 586, 'size': 6}
  • id: 139942867
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 57, 'group_counter': 497, 'group_order': 672, 'label': '28B13', 'order': 28, 'powers': [28, 56, 10], 'representative': 106, 'size': 6}
  • id: 139942868
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 58, 'group_counter': 497, 'group_order': 672, 'label': '28C1', 'order': 28, 'powers': [29, 59, 11], 'representative': 26, 'size': 6}
  • id: 139942869
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 59, 'group_counter': 497, 'group_order': 672, 'label': '28C3', 'order': 28, 'powers': [30, 61, 11], 'representative': 78, 'size': 6}
  • id: 139942871
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 60, 'group_counter': 497, 'group_order': 672, 'label': '28C5', 'order': 28, 'powers': [28, 63, 11], 'representative': 122, 'size': 6}
  • id: 139942872
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 61, 'group_counter': 497, 'group_order': 672, 'label': '28C9', 'order': 28, 'powers': [28, 58, 11], 'representative': 14, 'size': 6}
  • id: 139942873
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 62, 'group_counter': 497, 'group_order': 672, 'label': '28C11', 'order': 28, 'powers': [30, 60, 11], 'representative': 46, 'size': 6}
  • id: 139942874
    {'aut_label': '28B1', 'centralizer': '6.f1.a1', 'counter': 63, 'group_counter': 497, 'group_order': 672, 'label': '28C13', 'order': 28, 'powers': [29, 62, 11], 'representative': 90, 'size': 6}
  • id: 139942875
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 64, 'group_counter': 497, 'group_order': 672, 'label': '28D1', 'order': 28, 'powers': [31, 66, 12], 'representative': 98, 'size': 6}
  • id: 139942876
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 65, 'group_counter': 497, 'group_order': 672, 'label': '28D-1', 'order': 28, 'powers': [31, 67, 13], 'representative': 582, 'size': 6}
  • id: 139942877
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 66, 'group_counter': 497, 'group_order': 672, 'label': '28D3', 'order': 28, 'powers': [32, 70, 13], 'representative': 70, 'size': 6}
  • id: 139942878
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 67, 'group_counter': 497, 'group_order': 672, 'label': '28D-3', 'order': 28, 'powers': [32, 71, 12], 'representative': 386, 'size': 6}
  • id: 139942879
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 68, 'group_counter': 497, 'group_order': 672, 'label': '28D5', 'order': 28, 'powers': [33, 75, 12], 'representative': 34, 'size': 6}
  • id: 139942880
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 69, 'group_counter': 497, 'group_order': 672, 'label': '28D-5', 'order': 28, 'powers': [33, 74, 13], 'representative': 198, 'size': 6}
  • id: 139942882
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 70, 'group_counter': 497, 'group_order': 672, 'label': '28D9', 'order': 28, 'powers': [33, 65, 12], 'representative': 194, 'size': 6}
  • id: 139942883
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 71, 'group_counter': 497, 'group_order': 672, 'label': '28D-9', 'order': 28, 'powers': [33, 64, 13], 'representative': 38, 'size': 6}
  • id: 139942884
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 72, 'group_counter': 497, 'group_order': 672, 'label': '28D11', 'order': 28, 'powers': [32, 68, 13], 'representative': 390, 'size': 6}
  • id: 139942885
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 73, 'group_counter': 497, 'group_order': 672, 'label': '28D-11', 'order': 28, 'powers': [32, 69, 12], 'representative': 66, 'size': 6}
  • id: 139942886
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 74, 'group_counter': 497, 'group_order': 672, 'label': '28D13', 'order': 28, 'powers': [31, 72, 12], 'representative': 578, 'size': 6}
  • id: 139942887
    {'aut_label': '28D1', 'centralizer': '6.f1.a1', 'counter': 75, 'group_counter': 497, 'group_order': 672, 'label': '28D-13', 'order': 28, 'powers': [31, 73, 13], 'representative': 102, 'size': 6}
  • id: 139942888
    {'aut_label': '42A1', 'centralizer': '4.c1.a1', 'counter': 76, 'group_counter': 497, 'group_order': 672, 'label': '42A1', 'order': 42, 'powers': [37, 32, 16], 'representative': 36, 'size': 4}
  • id: 139942889
    {'aut_label': '42A1', 'centralizer': '4.c1.a1', 'counter': 77, 'group_counter': 497, 'group_order': 672, 'label': '42A5', 'order': 42, 'powers': [38, 31, 16], 'representative': 68, 'size': 4}
  • id: 139942890
    {'aut_label': '42A1', 'centralizer': '4.c1.a1', 'counter': 78, 'group_counter': 497, 'group_order': 672, 'label': '42A11', 'order': 42, 'powers': [39, 33, 16], 'representative': 132, 'size': 4}
  • id: 139942891
    {'aut_label': '42B1', 'centralizer': '4.c1.a1', 'counter': 79, 'group_counter': 497, 'group_order': 672, 'label': '42B1', 'order': 42, 'powers': [39, 29, 17], 'representative': 20, 'size': 4}
  • id: 139942893
    {'aut_label': '42B1', 'centralizer': '4.c1.a1', 'counter': 80, 'group_counter': 497, 'group_order': 672, 'label': '42B5', 'order': 42, 'powers': [37, 28, 17], 'representative': 84, 'size': 4}
  • id: 139942894
    {'aut_label': '42B1', 'centralizer': '4.c1.a1', 'counter': 81, 'group_counter': 497, 'group_order': 672, 'label': '42B11', 'order': 42, 'powers': [38, 30, 17], 'representative': 404, 'size': 4}
  • id: 139942895
    {'aut_label': '42C1', 'centralizer': '4.c1.a1', 'counter': 82, 'group_counter': 497, 'group_order': 672, 'label': '42C1', 'order': 42, 'powers': [39, 34, 18], 'representative': 16, 'size': 4}
  • id: 139942896
    {'aut_label': '42C1', 'centralizer': '4.c1.a1', 'counter': 83, 'group_counter': 497, 'group_order': 672, 'label': '42C5', 'order': 42, 'powers': [37, 36, 18], 'representative': 80, 'size': 4}
  • id: 139942897
    {'aut_label': '42C1', 'centralizer': '4.c1.a1', 'counter': 84, 'group_counter': 497, 'group_order': 672, 'label': '42C11', 'order': 42, 'powers': [38, 35, 18], 'representative': 176, 'size': 4}
  • id: 139942898
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 85, 'group_counter': 497, 'group_order': 672, 'label': '84A1', 'order': 84, 'powers': [82, 40, 24], 'representative': 8, 'size': 4}
  • id: 139942899
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 86, 'group_counter': 497, 'group_order': 672, 'label': '84A-1', 'order': 84, 'powers': [82, 41, 25], 'representative': 440, 'size': 4}
  • id: 139942900
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 87, 'group_counter': 497, 'group_order': 672, 'label': '84A5', 'order': 84, 'powers': [83, 44, 24], 'representative': 40, 'size': 4}
  • id: 139942901
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 88, 'group_counter': 497, 'group_order': 672, 'label': '84A-5', 'order': 84, 'powers': [83, 45, 25], 'representative': 184, 'size': 4}
  • id: 139942902
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 89, 'group_counter': 497, 'group_order': 672, 'label': '84A11', 'order': 84, 'powers': [84, 48, 25], 'representative': 88, 'size': 4}
  • id: 139942904
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 90, 'group_counter': 497, 'group_order': 672, 'label': '84A-11', 'order': 84, 'powers': [84, 49, 24], 'representative': 584, 'size': 4}
  • id: 139942905
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 91, 'group_counter': 497, 'group_order': 672, 'label': '84A13', 'order': 84, 'powers': [82, 50, 24], 'representative': 104, 'size': 4}
  • id: 139942906
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 92, 'group_counter': 497, 'group_order': 672, 'label': '84A-13', 'order': 84, 'powers': [82, 51, 25], 'representative': 344, 'size': 4}
  • id: 139942907
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 93, 'group_counter': 497, 'group_order': 672, 'label': '84A19', 'order': 84, 'powers': [83, 47, 25], 'representative': 152, 'size': 4}
  • id: 139942908
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 94, 'group_counter': 497, 'group_order': 672, 'label': '84A-19', 'order': 84, 'powers': [83, 46, 24], 'representative': 296, 'size': 4}
  • id: 139942909
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 95, 'group_counter': 497, 'group_order': 672, 'label': '84A25', 'order': 84, 'powers': [84, 43, 24], 'representative': 200, 'size': 4}
  • id: 139942910
    {'aut_label': '84A1', 'centralizer': '4.c1.a1', 'counter': 96, 'group_counter': 497, 'group_order': 672, 'label': '84A-25', 'order': 84, 'powers': [84, 42, 25], 'representative': 248, 'size': 4}
• 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: 12815656
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1a', '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], 'schur_index': 1}
  • id: 12815667
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1b', '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], 'schur_index': 1}
  • id: 12815678
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1c', '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], 'schur_index': 1}
  • id: 12815682
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1d', '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], 'schur_index': 1}
  • id: 12815683
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12815684
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12815685
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12815686
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12815687
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, -1, 2, 2, 0, 0, 0, 0, 2, 0, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 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, -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: 12815657
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 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, -2, 2, -2, -2, 2, 0, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815658
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 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, 2, -2, 2, 2, -2, 0, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815659
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, -1, -2, -2, 0, 0, 0, 0, 2, 0, -1, -1, -1, 1, 1, 2, 2, 2, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -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, -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: 12815660
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, -1, 2, 2, 0, 0, 0, 0, -2, 0, -1, -1, -1, 1, 1, 2, 2, 2, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 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, -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: 12815661
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, -1, -2, -2, 0, 0, 0, 0, -2, 0, -1, -1, -1, -1, -1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -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, -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: 12815662
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2g', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815663
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2h', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, -4, 4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815674
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4a', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, -4, 4, -4, -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, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815675
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4b', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, 4, -4, -4, 4, -4, 4, -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, 2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 12815664
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2i', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, -1, -1, -1, 6, 6, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12815665
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2j', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 0, 6, -6, -6, -6, 6, -6, 6, 0, 0, 6, 6, 6, 0, 0, -1, -1, -1, -6, -6, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12815666
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2k', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 0, 6, -6, -6, 6, -6, 6, -6, 0, 0, 6, 6, 6, 0, 0, -1, -1, -1, -6, -6, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12815668
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2l', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 0, 0, 6, 6, 6, -6, -6, -6, -6, 0, 0, 6, 6, 6, 0, 0, -1, -1, -1, 6, 6, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12815669
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2m', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 8, 8, 8, 0, 0, 0, 0, -8, 8, -8, -8, 8, 8, -8, -8, -8, -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, -4, 4, -4, 4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815670
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2n', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 0, 0, 12, 0, 0, 0, -12, 0, 12, 0, 0, 12, -12, -12, 0, 0, -2, -2, -2, 0, 0, 0, 0, -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, 2, -2, 2, 2, -2, 0, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815671
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2o', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 0, 0, 12, 0, 0, 0, 12, 0, -12, 0, 0, 12, -12, -12, 0, 0, -2, -2, -2, 0, 0, 0, 0, -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, -2, 2, -2, -2, 2, 0, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815676
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4c', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, 0, -6, 12, 12, 0, 0, 0, 0, 0, 0, -6, -6, -6, 0, 0, -2, -2, -2, -6, -6, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -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, 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: 12815677
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4d', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, 0, -6, -12, -12, 0, 0, 0, 0, 0, 0, -6, -6, -6, 0, 0, -2, -2, -2, 6, 6, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 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, 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: 12815672
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2p', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -24, 24, -24, 0, 0, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, -4, 4, 4, -4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815673
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.2q', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, 24, 0, 0, -4, -4, -4, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815679
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4e', 'multiplicity': 6, 'nt': [84, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 12, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 4, -4, 4, 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, -2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815680
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4f', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 12, 0, 0, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, -4, 4, 4, -4, 4, -4, 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, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 12815681
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '672.497', 'group_order': 672, 'image': None, 'label': '672.497.4g', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, -12, 0, 0, -4, -4, -4, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, 4, 4, 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, 2, -2, 2, -2, -2, 2, -2, -2, -2, 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: 29658491
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 672, 'label': '672.497.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658502
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 336, 'label': '672.497.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658513
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 336, 'label': '672.497.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658524
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 336, 'label': '672.497.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658535
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 336, 'label': '672.497.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658546
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 336, 'label': '672.497.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658557
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 336, 'label': '672.497.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658568
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 672, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 336, 'label': '672.497.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658579
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 112, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 112, 'label': '672.497.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658492
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 168, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.b1', 'kernel_order': 84, 'label': '672.497.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29658493
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 168, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 84, 'label': '672.497.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29658494
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 112, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 56, 'label': '672.497.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658495
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 112, 'counter': 13, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 56, 'label': '672.497.2e', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29658496
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 112, 'counter': 14, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 56, 'label': '672.497.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29658497
    {'center': '4.e1.a1', 'center_index': 4, 'center_order': 168, 'counter': 15, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 42, 'label': '672.497.2g1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29658498
    {'center': '4.e1.a1', 'center_index': 4, 'center_order': 168, 'counter': 16, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 42, 'label': '672.497.2g2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29658499
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 168, 'counter': 17, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 42, 'label': '672.497.2h1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]]]}
  • id: 29658500
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 168, 'counter': 18, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 42, 'label': '672.497.2h2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]]]}
  • id: 29658501
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 19, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 48, 'label': '672.497.2i1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658503
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 20, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 48, 'label': '672.497.2i2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29658504
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 21, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 48, 'label': '672.497.2i3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658505
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 22, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 24, 'label': '672.497.2j1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658506
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 23, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 24, 'label': '672.497.2j2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29658507
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 24, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 24, 'label': '672.497.2j3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658508
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 25, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 24, 'label': '672.497.2k1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658509
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 26, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 24, 'label': '672.497.2k2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 3], [1, -3]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29658510
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 27, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 24, 'label': '672.497.2k3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658511
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 28, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 24, 'label': '672.497.2l1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658512
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 29, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 24, 'label': '672.497.2l2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-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, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29658514
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 48, 'counter': 30, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 24, 'label': '672.497.2l3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658515
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 56, 'counter': 31, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 14, 'label': '672.497.2m1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 29658516
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 56, 'counter': 32, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 14, 'label': '672.497.2m2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 29658517
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 56, 'counter': 33, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 14, 'label': '672.497.2m3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]]]}
  • id: 29658518
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 56, 'counter': 34, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 14, 'label': '672.497.2m4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]]]}
  • id: 29658519
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 35, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29658520
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 36, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29658521
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 37, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658522
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 38, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658523
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 39, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658525
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 40, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.b1', 'kernel_order': 12, 'label': '672.497.2n6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658526
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 41, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29658527
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 42, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29658528
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 43, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658529
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 44, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658530
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 45, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658531
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 24, 'counter': 46, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 12, 'label': '672.497.2o6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658532
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 47, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 3], [1, 11]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]]]}
  • id: 29658542
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 56, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]]]}
  • id: 29658543
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 57, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]]]}
  • id: 29658544
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 58, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]]]}
  • id: 29658533
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 48, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 3], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, 11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]]]}
  • id: 29658534
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 49, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 3], [1, 11]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]]]}
  • id: 29658536
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 50, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 3], [-1, 11]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]]]}
  • id: 29658537
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 51, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 6], [1, 8]]]}
  • id: 29658538
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 52, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 5], [1, 9]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, 9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 6], [-1, 8]]]}
  • id: 29658539
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 53, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 5], [-1, 9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 6], [-1, 8]]]}
  • id: 29658540
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 54, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[0, 0]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 5], [1, 9]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, 9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 6], [1, 8]]]}
  • id: 29658541
    {'center': '28.c1.a1', 'center_index': 28, 'center_order': 24, 'counter': 55, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 6, 'label': '672.497.2p9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[0, 0]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]]]}
  • id: 29658545
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 59, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, 10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, 10]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]]]}
  • id: 29658555
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 68, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, 8]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 6], [-1, 8]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]]]}
  • id: 29658556
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 69, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, 8]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, 8]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]]]}
  • id: 29658558
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 70, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 6], [-1, 8]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 6], [1, 8]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]]]}
  • id: 29658547
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 60, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, 10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, 10]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]]]}
  • id: 29658548
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 61, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, 10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, 10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]]]}
  • id: 29658549
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 62, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, 10]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, 10]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]]]}
  • id: 29658550
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 63, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 29658551
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 64, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 29658552
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 65, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 29658553
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 66, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 29658554
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 24, 'counter': 67, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 6, 'label': '672.497.2q9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, 8]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, 8]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]]]}
  • id: 29658559
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 28, 'counter': 71, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 14, 'label': '672.497.4a', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]]]}
  • id: 29658560
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 28, 'counter': 72, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.c1.a1', 'kernel_order': 14, 'label': '672.497.4b', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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]]]}
  • id: 29658561
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 73, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 8, 'label': '672.497.4c1', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[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]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658562
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 74, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 8, 'label': '672.497.4c2', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[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]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29658563
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 75, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 8, 'label': '672.497.4c3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658564
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 76, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 4, 'label': '672.497.4d1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-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]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658565
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 77, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 4, 'label': '672.497.4d2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-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]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29658566
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 78, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 4, 'label': '672.497.4d3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658567
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-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]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29658569
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[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]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29658570
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29658571
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e4', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29658572
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e5', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 5], [-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]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29658573
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 84, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 2, 'label': '672.497.4e6', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 5], [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]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29658574
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 85, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-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, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]]]}
  • id: 29658575
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 86, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f2', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]]]}
  • id: 29658576
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 87, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]]]}
  • id: 29658577
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 88, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f4', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]]]}
  • id: 29658578
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 3], [1, -3]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]]]}
  • id: 29658580
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 2, 'label': '672.497.4f6', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]]]}
  • id: 29658581
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 91, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]]]}
  • id: 29658582
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 92, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g2', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]]]}
  • id: 29658583
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 93, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 29658584
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 94, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g4', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 29658585
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 95, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]]]}
  • id: 29658586
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 8, 'counter': 96, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '672.497', 'group_counter': 497, 'group_order': 672, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 2, 'label': '672.497.4g6', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]]]}
• 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: 110484127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '672.497.1.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': '672.497', 'subgroup_hash': 497, 'subgroup_order': 672, 'subgroup_tex': '(C_2\\times C_{12}).D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.158', 'subgroup_hash': 158, 'subgroup_order': 336, 'subgroup_tex': 'C_6:D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 336, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.68', 'subgroup_hash': 68, 'subgroup_order': 336, 'subgroup_tex': 'D_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.42', 'subgroup_hash': 42, 'subgroup_order': 336, 'subgroup_tex': 'C_6.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.100', 'subgroup_hash': 100, 'subgroup_order': 336, 'subgroup_tex': 'D_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.44', 'subgroup_hash': 44, 'subgroup_order': 336, 'subgroup_tex': 'D_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 336, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.81', 'subgroup_hash': 81, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.160', 'subgroup_hash': 160, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '672.497.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.70', 'subgroup_hash': 70, 'subgroup_order': 224, 'subgroup_tex': 'C_4^2:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110484128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 168, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '168.54', 'subgroup_hash': 54, 'subgroup_order': 168, 'subgroup_tex': 'C_6\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 168, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.56', 'subgroup_hash': 56, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 168, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 110484161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 168, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 168, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 168, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 168, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '168.16', 'subgroup_hash': 16, 'subgroup_order': 168, 'subgroup_tex': 'C_3:D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.4.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '168.16', 'subgroup_hash': 16, 'subgroup_order': 168, 'subgroup_tex': 'C_3:D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '168.18', 'subgroup_hash': 18, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.4.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '168.18', 'subgroup_hash': 18, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 112, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.13', 'subgroup_hash': 13, 'subgroup_order': 112, 'subgroup_tex': 'D_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.13', 'subgroup_hash': 13, 'subgroup_order': 112, 'subgroup_tex': 'D_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.13', 'subgroup_hash': 13, 'subgroup_order': 112, 'subgroup_tex': 'D_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.13', 'subgroup_hash': 13, 'subgroup_order': 112, 'subgroup_tex': 'D_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.19', 'subgroup_hash': 19, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '672.497.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.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': 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': '96.92', 'subgroup_hash': 92, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 84, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.8.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': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'S', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484203
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', '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': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484204
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', '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': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484207
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484208
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484211
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484215
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 42, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 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': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 110484216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 56, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484217
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 56, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 56, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484220
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484221
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.12.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.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': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484236
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 42, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.16.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': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484237
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 42, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484238
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 42, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 110484239
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 21, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '42.4', 'subgroup_hash': 4, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110484240
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 21, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 110484241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '672.497.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.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': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 110484242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 28, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484248
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484249
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484252
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 14, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 110484255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 14, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 110484256
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 24, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.28.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 24, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.b1.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 24, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.28.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': '28.3', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484260
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484261
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484262
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.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': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.28.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.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': 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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110484269
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 21, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '672.497.32.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': '32.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 110484270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484275
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.42.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': 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: 110484277
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 14, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 110484278
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 14, 'counter': 99, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 110484129
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 14, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:S_3', 'simple': False, 'solvable': True, 'special_labels': [], '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: 110484130
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 7, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110484131
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 7, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 110484132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.56.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': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484133
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 12, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.b1.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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484134
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 12, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.56.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.b1.b1', '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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484136
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484137
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.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': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484138
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.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': 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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484142
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 6, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484143
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.56.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484145
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 6, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.56.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.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': 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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 110484146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 8, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.84.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], '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: 110484147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110484148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110484149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484151
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484152
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110484156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.84.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.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': 84, 'quotient_simple': 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: 110484158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 7, 'counter': 127, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '672.497.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.92', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 92, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 110484159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 6, 'counter': 128, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.112.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': '112.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484160
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 6, 'counter': 129, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.112.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': '112.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 6, 'counter': 130, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484163
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 3, 'counter': 131, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.112.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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 110484164
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 3, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 110484165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '672.497.168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484167
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 138, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484171
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484174
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484175
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 142, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484176
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '672.497.168.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110484178
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 2, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.168.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': 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: 110484179
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 3, 'counter': 146, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '672.497.224.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': '224.70', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 70, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_7', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 110484180
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 2, 'counter': 147, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.336.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.149', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 149, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{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: 110484181
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 2, 'counter': 148, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.336.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_{14}', '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: 110484182
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 2, 'counter': 149, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '672.497.336.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '336.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.152', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 152, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}.D_6', '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: 110484184
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.336.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.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': 336, '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: 110484185
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '672.497.336.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.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': 336, '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: 110484186
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '672.497', 'ambient_counter': 497, 'ambient_order': 672, 'ambient_tex': '(C_2\\times C_{12}).D_{14}', 'central': True, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 1, 'counter': 152, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '672.497.672.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '672.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '672.497', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{12}).D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 110484127
    {'ambient': '672.497', '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': '168.a1.a1', 'complements': ['672.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4382, 5166, 5659, 4860, 5526, 5213, 5944, 4724], 'generators': [1, 224, 168, 4, 2, 96, 336], 'label': '672.497.1.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', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '168.50', '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': '168.50'}
  • id: 110484128
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '336.216', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.g1.a1', '8.j1.a1', '12.a1.a1', '28.d1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4972, 9426, 7559, 732, 2147, 7573, 8343, 2395], 'generators': [1, 336, 224, 4, 96], 'label': '672.497.4.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', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484129
    {'ambient': '672.497', 'aut_centralizer_order': 2688, 'aut_label': '48.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.j1.a1', '24.k1.a1', '24.l1.a1'], 'contains': ['96.a1.a1', '336.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9268, 7754, 7410, 2008, 2772, 6729, 7881, 3791], 'generators': [336, 96], 'label': '672.497.48.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '336.152', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.7', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484130
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '42.1', 'aut_weyl_index': 384, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.b1.a1', '24.g1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '336.d1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5992, -1, 7997, -1, 1673, -1, 7605, -1], 'generators': [1, 96], 'label': '672.497.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 110484131
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '42.1', 'aut_weyl_index': 384, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.c1.a1', '24.h1.a1', '24.k1.a1'], 'contains': ['96.a1.a1', '336.e1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8647, -1, 5052, -1, 2303, -1, 5687, -1], 'generators': [587, 96], 'label': '672.497.48.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.e1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 110484132
    {'ambient': '672.497', 'aut_centralizer_order': 8064, 'aut_label': '56.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1', '28.d1.a1', '28.e1.a1', '28.f1.a1', '28.g1.a1'], 'contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1', '168.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5733, 4010, 6888, 5909, 3942, 3239, 6537, 6747], 'generators': [4, 336, 224], 'label': '672.497.56.a1.a1', 'mobius_quo': -2, 'mobius_sub': 56, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1', '28.c1.a1', '28.b1.a1'], 'normal_contains': ['112.a1.a1', '112.c1.a1', '112.b1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '168.50', '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: 110484133
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '56.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.b1.a1', '28.h1.a1', '28.i1.a1'], 'contains': ['112.a1.a1', '168.d1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [642, 2354, 1770, 9268, 5610, 1926, 2344, 7461], 'generators': [62, 340, 224], 'label': '672.497.56.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.b1.a1', '28.b1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484134
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '56.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '28.b1.a1', '28.h1.b1', '28.i1.b1'], 'contains': ['112.a1.a1', '168.d1.b1'], 'core': '56.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [642, 2354, 1952, 8407, 5610, 1926, 2510, 8487], 'generators': [398, 340, 224], 'label': '672.497.56.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.b1', 'normal_contained_in': ['8.b1.b1', '28.b1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484135
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.d1.a1', '28.h1.a1', '28.h1.b1'], 'contains': ['112.a1.a1', '112.d1.a1', '168.b1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2783, -1, 3181, -1, 3001, -1, 5015, -1], 'generators': [1, 340, 224], 'label': '672.497.56.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484136
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.e1.a1', '28.h1.a1', '28.h1.b1'], 'contains': ['112.a1.a1', '112.e1.a1', '168.c1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4700, -1, 3388, -1, 3210, -1, 3488, -1], 'generators': [587, 340, 224], 'label': '672.497.56.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484137
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.f1.a1', '28.i1.a1', '28.i1.b1'], 'contains': ['112.a1.a1', '168.e1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [448, -1, 902, -1, 8105, -1, 1605, -1], 'generators': [29, 224, 340], 'label': '672.497.56.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1.a1', 'old_label': '56.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484138
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '28.g1.a1', '28.i1.a1', '28.i1.b1'], 'contains': ['112.a1.a1', '168.f1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2270, -1, 577, -1, 8285, -1, 1442, -1], 'generators': [3, 340, 224], 'label': '672.497.56.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1.a1', 'old_label': '56.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484139
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.h1.a1', '8.k1.a1', '12.d1.a1', '28.e1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6748, 3856, 5268, 6189, 2933, 6316, 5160, 3635], 'generators': [587, 336, 224, 4, 96], 'label': '672.497.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '168.50', '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': '168.50'}
  • id: 110484140
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '28.d1.a1'], 'contains': ['112.b1.a1', '112.d1.a1', '168.g1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6605, -1, 9423, -1, 639, -1, 8073, -1], 'generators': [1, 4, 224], 'label': '672.497.56.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.g1.a1', 'projective_image': '336.144', '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: 110484141
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '28.e1.a1'], 'contains': ['112.b1.a1', '112.e1.a1', '168.h1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8835, -1, 5496, -1, 1479, -1, 5599, -1], 'generators': [587, 4, 224], 'label': '672.497.56.h1.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.h1.a1', 'projective_image': '336.144', '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': '12.4'}
  • id: 110484142
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '28.c1.a1'], 'contains': ['112.b1.a1', '168.i1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7922, -1, 9900, -1, 234, -1, 7149, -1], 'generators': [2, 4, 224], 'label': '672.497.56.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '56.i1.a1', 'projective_image': '336.144', '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': '6.1'}
  • id: 110484143
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '28.d1.a1'], 'contains': ['112.c1.a1', '112.d1.a1', '168.j1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7517, -1, 9078, -1, 2047, -1, 8892, -1], 'generators': [1, 336, 224], 'label': '672.497.56.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '56.j1.a1', 'projective_image': '336.152', '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: 110484144
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '28.e1.a1'], 'contains': ['112.c1.a1', '112.e1.a1', '168.k1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9403, -1, 5353, -1, 2612, -1, 6349, -1], 'generators': [587, 336, 224], 'label': '672.497.56.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.k1.a1', 'projective_image': '336.152', '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': '12.4'}
  • id: 110484145
    {'ambient': '672.497', 'aut_centralizer_order': 2016, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '4.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '28.a1.a1'], 'contains': ['112.c1.a1', '168.l1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9943, -1, 9646, -1, 5109, -1, 9254, -1], 'generators': [168, 224, 336], 'label': '672.497.56.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '56.l1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484146
    {'ambient': '672.497', 'aut_centralizer_order': 4032, 'aut_label': '84.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '28.a1.a1', '42.b1.a1', '42.d1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.l1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8163, 6483, 6446, 4007, 6605, 5777, 7663, 5344], 'generators': [4, 168], 'label': '672.497.84.a1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.a1.a1', 'normal_contained_in': ['12.b1.a1', '28.a1.a1'], 'normal_contains': ['168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.a1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '42.3', 'quotient_action_kernel_order': 42, 'quotient_fusion': None, 'short_label': '84.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484147
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '28.d1.a1', '42.a1.a1', '42.b1.a1', '42.c1.a1'], 'contains': ['168.a1.a1', '168.b1.a1', '168.g1.a1', '168.j1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3376, -1, 6737, -1, 3723, -1, 7466, -1], 'generators': [1, 4, 336], 'label': '672.497.84.b1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.b1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484148
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '28.e1.a1', '42.a1.a1', '42.d1.a1', '42.e1.a1'], 'contains': ['168.a1.a1', '168.c1.a1', '168.h1.a1', '168.k1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [6195, -1, 4434, -1, 4609, -1, 5296, -1], 'generators': [587, 4, 336], 'label': '672.497.84.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.c1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484149
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '28.b1.a1', '42.a1.a1', '42.f1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.d1.a1', '168.d1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2062, -1, 2631, -1, 6015, -1, 2876, -1], 'generators': [62, 336], 'label': '672.497.84.d1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.d1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484150
    {'ambient': '672.497', 'aut_centralizer_order': 336, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 336, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.l1.a1', '12.b1.a1', '28.a1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7546, 7978, 7932, 2151, 5520, 5213, 8683, 4724], 'generators': [4, 224, 96, 168, 336], 'label': '672.497.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '168.50', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484151
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '28.c1.a1', '42.c1.a1', '42.e1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.i1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5384, -1, 7212, -1, 4391, -1, 6783, -1], 'generators': [2, 336], 'label': '672.497.84.e1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.e1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484152
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '28.f1.a1', '42.b1.a1', '42.e1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.e1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1772, -1, 4138, -1, 7608, -1, 4606, -1], 'generators': [29, 336], 'label': '672.497.84.f1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.f1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484153
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '28.g1.a1', '42.c1.a1', '42.d1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.f1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [4046, -1, 5669, -1, 7880, -1, 4360, -1], 'generators': [3, 336], 'label': '672.497.84.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.g1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484154
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '28.h1.a1', '42.a1.a1'], 'contains': ['168.b1.a1', '168.c1.a1', '168.d1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1246, -1, 2837, -1, 5446, -1, 3065, -1], 'generators': [1, 62], 'label': '672.497.84.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '84.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484155
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '28.h1.b1', '42.a1.a1'], 'contains': ['168.b1.a1', '168.c1.a1', '168.d1.b1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1246, -1, 3253, -1, 5446, -1, 3195, -1], 'generators': [1, 398], 'label': '672.497.84.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '84.h1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484156
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '28.i1.a1', '42.g1.a1'], 'contains': ['168.d1.a1', '168.e1.a1', '168.f1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [233, -1, 457, -1, 8889, -1, 830, -1], 'generators': [29, 62], 'label': '672.497.84.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '84.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484157
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4032, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.b1', '28.i1.b1', '42.g1.a1'], 'contains': ['168.d1.b1', '168.e1.a1', '168.f1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [233, -1, 662, -1, 8889, -1, 1127, -1], 'generators': [29, 398], 'label': '672.497.84.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '84.i1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484158
    {'ambient': '672.497', 'aut_centralizer_order': 2688, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.f1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.e1.a1'], 'contains': ['672.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7778, 8094, 7908, 1857, 2159, 5917, 7077, 4342], 'generators': [96], 'label': '672.497.96.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '672.497', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.11', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484159
    {'ambient': '672.497', 'aut_centralizer_order': 8064, 'aut_label': '112.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.b1.b1', '56.c1.a1', '56.d1.a1', '56.e1.a1', '56.f1.a1'], 'contains': ['224.a1.a1', '336.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2934, 4010, 2030, 6724, 4166, 3112, 2815, 6809], 'generators': [340, 224], 'label': '672.497.112.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.b1.b1'], 'normal_contains': ['224.a1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.5', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484160
    {'ambient': '672.497', 'aut_centralizer_order': 8064, 'aut_label': '112.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.a1.a1', '56.g1.a1', '56.h1.a1', '56.i1.a1'], 'contains': ['224.a1.a1', '336.b1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7896, 5636, 9507, 4807, 1044, 3569, 7149, 5908], 'generators': [4, 224], 'label': '672.497.112.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.b1.a1', '56.a1.a1'], 'normal_contains': ['224.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': '336.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.4', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484161
    {'ambient': '672.497', 'aut_centralizer_order': 112, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 112, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.e1.a1', '28.b1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1851, 2399, 1648, 9078, 4828, 1615, 2798, 8275], 'generators': [62, 96, 340, 336, 224], 'label': '672.497.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '168.50', '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': '12.4'}
  • id: 110484162
    {'ambient': '672.497', 'aut_centralizer_order': 8064, 'aut_label': '112.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '56.a1.a1', '56.j1.a1', '56.k1.a1', '56.l1.a1'], 'contains': ['224.a1.a1', '336.c1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9321, 4758, 8819, 5834, 2612, 4026, 8026, 6359], 'generators': [336, 224], 'label': '672.497.112.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '112.c1.a1', 'normal_contained_in': ['16.c1.a1', '56.a1.a1'], 'normal_contains': ['224.a1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.c1.a1', 'projective_image': '336.152', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.7', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484163
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '56.c1.a1', '56.g1.a1', '56.j1.a1'], 'contains': ['224.a1.a1', '336.d1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [6671, -1, 9101, -1, 1529, -1, 7736, -1], 'generators': [1, 224], 'label': '672.497.112.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1.a1', 'old_label': '112.d1.a1', 'projective_image': '672.497', '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: 110484164
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2688, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '56.d1.a1', '56.h1.a1', '56.k1.a1'], 'contains': ['224.a1.a1', '336.e1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [8938, -1, 5311, -1, 2159, -1, 5818, -1], 'generators': [587, 224], 'label': '672.497.112.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.e1.a1', 'old_label': '112.e1.a1', 'projective_image': '672.497', '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': '6.1'}
  • id: 110484165
    {'ambient': '672.497', 'aut_centralizer_order': 16128, 'aut_label': '168.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1', '84.b1.a1', '84.c1.a1', '84.d1.a1', '84.e1.a1', '84.f1.a1', '84.g1.a1'], 'contains': ['336.a1.a1', '336.b1.a1', '336.c1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5529, 6984, 6223, 2724, 4581, 5073, 6336, 5426], 'generators': [4, 336], 'label': '672.497.168.a1.a1', 'mobius_quo': 2, 'mobius_sub': -168, 'normal_closure': '168.a1.a1', 'normal_contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1'], 'normal_contains': ['336.a1.a1', '336.c1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.a1.a1', 'projective_image': '168.50', 'quotient_action_image': '1.1', 'quotient_action_kernel': '168.50', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '168.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484166
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '168.b1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '56.c1.a1', '84.b1.a1', '84.h1.a1', '84.h1.b1'], 'contains': ['336.a1.a1', '336.d1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2448, -1, 2989, -1, 3549, -1, 4811, -1], 'generators': [1, 340], 'label': '672.497.168.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484167
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '168.c1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '56.d1.a1', '84.c1.a1', '84.h1.a1', '84.h1.b1'], 'contains': ['336.a1.a1', '336.e1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4769, -1, 3291, -1, 3950, -1, 3342, -1], 'generators': [587, 340], 'label': '672.497.168.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '168.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484168
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '56.b1.a1', '84.d1.a1', '84.h1.a1', '84.i1.a1'], 'contains': ['336.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [525, -1, 1894, -1, 5700, -1, 2364, -1], 'generators': [62], 'label': '672.497.168.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484169
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '56.b1.b1', '84.d1.a1', '84.h1.b1', '84.i1.b1'], 'contains': ['336.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [525, -1, 2437, -1, 5700, -1, 2516, -1], 'generators': [398], 'label': '672.497.168.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.d1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484170
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '56.e1.a1', '84.f1.a1', '84.i1.a1', '84.i1.b1'], 'contains': ['336.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [57, -1, 790, -1, 8105, -1, 1440, -1], 'generators': [29], 'label': '672.497.168.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1.a1', 'old_label': '168.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484171
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '56.f1.a1', '84.g1.a1', '84.i1.a1', '84.i1.b1'], 'contains': ['336.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [2006, -1, 432, -1, 8285, -1, 1136, -1], 'generators': [3], 'label': '672.497.168.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.g1.a1', 'old_label': '168.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484172
    {'ambient': '672.497', 'aut_centralizer_order': 112, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 112, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.i1.a1', '12.f1.a1', '28.c1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6182, 906, 8439, 7615, 2554, 2846, 7033, 7060], 'generators': [2, 96, 4, 336, 224], 'label': '672.497.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '168.50', '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': '12.4'}
  • id: 110484173
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '56.g1.a1', '84.b1.a1'], 'contains': ['336.b1.a1', '336.d1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5354, -1, 8560, -1, 1198, -1, 7466, -1], 'generators': [1, 4], 'label': '672.497.168.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '168.g1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484174
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '56.h1.a1', '84.c1.a1'], 'contains': ['336.b1.a1', '336.e1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [8349, -1, 5192, -1, 2004, -1, 5548, -1], 'generators': [587, 4], 'label': '672.497.168.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.d1.a1', 'old_label': '168.h1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484175
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '56.i1.a1', '84.e1.a1'], 'contains': ['336.b1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7013, -1, 9765, -1, 657, -1, 6859, -1], 'generators': [2], 'label': '672.497.168.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '168.i1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484176
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '56.j1.a1', '84.b1.a1'], 'contains': ['336.c1.a1', '336.d1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7408, -1, 7424, -1, 2458, -1, 8165, -1], 'generators': [1, 336], 'label': '672.497.168.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '168.j1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484177
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '56.k1.a1', '84.c1.a1'], 'contains': ['336.c1.a1', '336.e1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [9463, -1, 4815, -1, 2943, -1, 5957, -1], 'generators': [587, 336], 'label': '672.497.168.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.e1.a1', 'old_label': '168.k1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484178
    {'ambient': '672.497', 'aut_centralizer_order': 4032, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '56.l1.a1', '84.a1.a1'], 'contains': ['336.c1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9889, -1, 7577, -1, 5197, -1, 8699, -1], 'generators': [168], 'label': '672.497.168.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '168.l1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484179
    {'ambient': '672.497', 'aut_centralizer_order': 8064, 'aut_label': '224.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1', '112.d1.a1', '112.e1.a1'], 'contains': ['672.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7896, 5181, 8679, 5238, 2014, 4026, 7207, 6233], 'generators': [224], 'label': '672.497.224.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.a1', '112.c1.a1', '112.b1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': '672.497', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.13', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484180
    {'ambient': '672.497', 'aut_centralizer_order': 16128, 'aut_label': '336.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1', '168.d1.a1', '168.d1.b1', '168.e1.a1', '168.f1.a1'], 'contains': ['672.a1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2448, 6207, 2211, 3471, 4355, 4546, 2742, 5782], 'generators': [340], 'label': '672.497.336.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '336.a1.a1', 'normal_contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.149', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484181
    {'ambient': '672.497', 'aut_centralizer_order': 16128, 'aut_label': '336.b1', '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': ['48.b1.a1', '112.b1.a1', '168.a1.a1', '168.g1.a1', '168.h1.a1', '168.i1.a1'], 'contains': ['672.a1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7256, 7593, 8441, 2226, 1369, 5003, 6946, 4881], 'generators': [4], 'label': '672.497.336.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '336.b1.a1', 'normal_contained_in': ['48.b1.a1', '112.b1.a1', '168.a1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.b1.a1', 'projective_image': '336.144', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.144', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484254
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.d1.a1'], 'contains': ['48.c1.a1', '48.e1.a1', '168.k1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9358, -1, 4803, -1, 2774, -1, 5907, -1], 'generators': [587, 96, 336], 'label': '672.497.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.a1', 'old_label': '24.k1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484182
    {'ambient': '672.497', 'aut_centralizer_order': 16128, 'aut_label': '336.c1', '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': ['48.c1.a1', '112.c1.a1', '168.a1.a1', '168.j1.a1', '168.k1.a1', '168.l1.a1'], 'contains': ['672.a1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9301, 6922, 7424, 2769, 2772, 5460, 7881, 5332], 'generators': [336], 'label': '672.497.336.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '336.c1.a1', 'normal_contained_in': ['48.c1.a1', '112.c1.a1', '168.a1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.c1.a1', 'projective_image': '336.152', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.152', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484183
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '336.216', 'aut_weyl_index': 48, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '12.c1.a1', '28.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1349, 5212, 4510, 4860, 7642, 8772, 4756, 1212], 'generators': [29, 224, 340, 336, 96], 'label': '672.497.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '168.50', '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': '56.12'}
  • id: 110484184
    {'ambient': '672.497', 'aut_centralizer_order': 576, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '112.d1.a1', '168.b1.a1', '168.g1.a1', '168.j1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [6166, -1, 7918, -1, 1772, -1, 7535, -1], 'generators': [1], 'label': '672.497.336.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1.a1', 'old_label': '336.d1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484185
    {'ambient': '672.497', 'aut_centralizer_order': 192, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16128, 'centralizer': '84.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '112.e1.a1', '168.c1.a1', '168.h1.a1', '168.k1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [8813, -1, 5117, -1, 2303, -1, 5753, -1], 'generators': [587], 'label': '672.497.336.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.c1.a1', 'old_label': '336.e1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484186
    {'ambient': '672.497', 'aut_centralizer_order': None, 'aut_label': '672.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': ['96.a1.a1', '224.a1.a1', '336.a1.a1', '336.b1.a1', '336.c1.a1', '336.d1.a1', '336.e1.a1'], 'contains': [], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7778, 6922, 7686, 2769, 2159, 5003, 7077, 5332], 'generators': [], 'label': '672.497.672.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '672.a1.a1', 'normal_contained_in': ['96.a1.a1', '224.a1.a1', '336.a1.a1', '336.c1.a1', '336.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '672.a1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484187
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '12.g1.a1', '28.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3773, 6599, 5990, 3502, 8003, 4077, 4430, 5845], 'generators': [3, 340, 224, 336, 96], 'label': '672.497.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 110484188
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.d1.a1', '12.h1.a1', '28.h1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2185, -1, 2570, -1, 3238, -1, 3085, -1], 'generators': [1, 340, 224, 62, 96], 'label': '672.497.4.h1.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.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484189
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.c1.a1', '8.d1.a1', '12.h1.b1', '28.h1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2185, -1, 3213, -1, 3238, -1, 3302, -1], 'generators': [1, 340, 224, 398, 96], 'label': '672.497.4.h1.b1', '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.h1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.b1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484190
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.f1.a1', '12.i1.a1', '28.i1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [514, -1, 100, -1, 9384, -1, 647, -1], 'generators': [29, 340, 224, 62, 96], 'label': '672.497.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '4.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484191
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1', '4.h1.a1', '4.h1.b1', '6.b1.a1', '14.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2616, 5166, 3402, 6324, 3823, 6209, 3713, 3741], 'generators': [1, 96, 336, 340, 62, 224], 'label': '672.497.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '168.50', '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': '168.50'}
  • id: 110484192
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 16, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1'], 'contains': ['8.b1.b1', '8.e1.a1', '8.f1.a1', '12.i1.b1', '28.i1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [514, -1, 464, -1, 9384, -1, 915, -1], 'generators': [29, 340, 224, 398, 96], 'label': '672.497.4.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '4.i1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.b1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484193
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '56.a1.a1', 'complements': ['112.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '42.b1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3212, 8809, 6361, 1449, 7116, 9680, 7702, 316], 'generators': [1, 4, 336, 168, 96], 'label': '672.497.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484194
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.e1.a1', '12.h1.a1', '12.h1.b1', '42.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2401, -1, 2768, -1, 4469, -1, 3563, -1], 'generators': [1, 336, 340, 62, 96], 'label': '672.497.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484195
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '12.g1.a1', '42.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4023, -1, 6606, -1, 4184, -1, 7317, -1], 'generators': [1, 4, 336, 2, 96], 'label': '672.497.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484196
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.g1.a1', '42.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6838, -1, 4978, -1, 7355, -1, 5436, -1], 'generators': [3, 340, 336, 168, 96], 'label': '672.497.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484197
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.d1.a1', '12.f1.a1', '42.e1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5060, -1, 3880, -1, 5803, -1, 5651, -1], 'generators': [29, 340, 336, 2, 96], 'label': '672.497.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484198
    {'ambient': '672.497', 'aut_centralizer_order': 56, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.231', 'aut_weyl_index': 168, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.e1.a1', '12.f1.a1', '42.f1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5557, -1, 7358, -1, 6085, -1, 6408, -1], 'generators': [2, 96, 4, 168, 336], 'label': '672.497.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484199
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 24, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.e1.a1', '12.g1.a1', '12.i1.a1', '12.i1.b1', '42.g1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1531, -1, 1809, -1, 8698, -1, 2170, -1], 'generators': [29, 336, 340, 62, 96], 'label': '672.497.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484200
    {'ambient': '672.497', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20168', 'aut_weyl_index': 42, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1', '14.e1.a1', '14.f1.a1', '14.g1.a1', '21.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4639, -1, 5659, -1, 5526, -1, 6258, -1], 'generators': [1, 224, 336, 2, 168, 4], 'label': '672.497.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 110484201
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6268, 4257, 7382, 5048, 3121, 5066, 6589, 4342], 'generators': [4, 224, 96, 336], 'label': '672.497.8.a1.a1', 'mobius_quo': 2, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.e1.a1', '4.d1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '168.50', '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: 110484202
    {'ambient': '672.497', 'aut_centralizer_order': 12, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11704', 'aut_weyl_index': 12, 'centralizer': '56.a1.a1', 'complements': ['336.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.f1.a1', '6.a1.a1', '14.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4133, 8956, 7053, 1147, 5865, 8201, 7841, 1775], 'generators': [1, 96, 224, 4, 168, 336], 'label': '672.497.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.f1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484203
    {'ambient': '672.497', 'aut_centralizer_order': 112, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 224, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.a1', '4.i1.a1'], 'contains': ['16.a1.a1', '24.d1.a1', '56.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [577, 2661, 954, 9184, 5139, 1926, 1322, 7442], 'generators': [62, 340, 224, 96], 'label': '672.497.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.d1.a1'], 'normal_contains': ['16.a1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484204
    {'ambient': '672.497', 'aut_centralizer_order': 112, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 224, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.b1', '4.i1.b1'], 'contains': ['16.a1.a1', '24.d1.b1', '56.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [577, 2661, 1286, 7924, 5139, 1926, 1625, 8487], 'generators': [398, 340, 224, 96], 'label': '672.497.8.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.d1.a1'], 'normal_contains': ['16.a1.a1', '56.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484205
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.a1.a1', '16.d1.a1', '24.b1.a1', '56.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3084, -1, 3070, -1, 1361, -1, 5015, -1], 'generators': [1, 224, 96, 340], 'label': '672.497.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484206
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.a1.a1', '16.e1.a1', '24.c1.a1', '56.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4663, -1, 3295, -1, 1902, -1, 3360, -1], 'generators': [587, 224, 96, 340], 'label': '672.497.8.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': '336.149', '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': '84.8'}
  • id: 110484207
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.i1.a1', '4.i1.b1'], 'contains': ['16.a1.a1', '24.e1.a1', '56.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [933, -1, 386, -1, 9242, -1, 1020, -1], 'generators': [29, 340, 96, 224], 'label': '672.497.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484208
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.i1.a1', '4.i1.b1'], 'contains': ['16.a1.a1', '24.f1.a1', '56.f1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2728, -1, 102, -1, 9529, -1, 592, -1], 'generators': [3, 224, 96, 340], 'label': '672.497.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484209
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '24.g1.a1', '56.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7359, -1, 8774, -1, 454, -1, 9484, -1], 'generators': [1, 224, 96, 4], 'label': '672.497.8.g1.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': '8.g1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484210
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '24.h1.a1', '56.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8815, -1, 5395, -1, 681, -1, 6200, -1], 'generators': [587, 224, 96, 4], 'label': '672.497.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.h1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 110484211
    {'ambient': '672.497', 'aut_centralizer_order': 112, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 224, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.b1.a1', '24.i1.a1', '56.i1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7975, -1, 9852, -1, 149, -1, 7841, -1], 'generators': [2, 4, 224, 96], 'label': '672.497.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.i1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 110484212
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '24.j1.a1', '56.j1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7651, -1, 8187, -1, 907, -1, 9732, -1], 'generators': [1, 224, 96, 336], 'label': '672.497.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.j1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484213
    {'ambient': '672.497', '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': '168.a1.a1', 'complements': ['336.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.e1.a1', '4.g1.a1', '6.c1.a1', '14.d1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4619, 6599, 7512, 3457, 3450, 4267, 7174, 5658], 'generators': [1, 96, 4, 336, 2, 224], 'label': '672.497.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 110484214
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.c1.a1', '16.e1.a1', '24.k1.a1', '56.k1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9332, -1, 5029, -1, 1134, -1, 6361, -1], 'generators': [587, 224, 96, 336], 'label': '672.497.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.k1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 110484215
    {'ambient': '672.497', 'aut_centralizer_order': 336, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '4.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.c1.a1', '24.l1.a1', '56.l1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9791, -1, 8410, -1, 4018, -1, 9936, -1], 'generators': [168, 96, 336, 224], 'label': '672.497.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.l1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484216
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.g1.a1', '24.j1.a1', '84.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4023, 9426, 6685, 875, 2799, 7573, 8341, 2314], 'generators': [1, 336, 96, 4], 'label': '672.497.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484217
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.l1.a1', '84.a1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8519, 8186, 6290, 2090, 6851, 6259, 8917, 3322], 'generators': [4, 96, 336, 168], 'label': '672.497.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484218
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '84.f1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1474, 6914, 3887, 3336, 8297, 8772, 4142, 1212], 'generators': [29, 340, 96, 336], 'label': '672.497.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484219
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '24.h1.a1', '24.k1.a1', '84.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6703, -1, 4359, -1, 3771, -1, 5283, -1], 'generators': [587, 336, 96, 4], 'label': '672.497.12.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484220
    {'ambient': '672.497', 'aut_centralizer_order': 224, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.d1.b1', '84.d1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1827, -1, 1822, -1, 6358, -1, 2172, -1], 'generators': [62, 96, 340, 336], 'label': '672.497.12.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484221
    {'ambient': '672.497', 'aut_centralizer_order': 224, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 672, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.i1.a1', '84.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5642, -1, 7608, -1, 3448, -1, 7035, -1], 'generators': [2, 96, 4, 336], 'label': '672.497.12.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484222
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.c1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.f1.a1', '84.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3596, -1, 5812, -1, 8632, -1, 3840, -1], 'generators': [3, 340, 96, 336], 'label': '672.497.12.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484223
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.d1.a1', '84.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2179, -1, 2183, -1, 4381, -1, 2702, -1], 'generators': [1, 340, 96, 62], 'label': '672.497.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484224
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '168.a1.a1', 'complements': ['336.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.g1.a1', '6.d1.a1', '14.e1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6867, 7747, 5927, 2332, 6180, 5213, 5436, 4724], 'generators': [3, 96, 340, 336, 168, 224], 'label': '672.497.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 110484225
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.d1.b1', '84.h1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2179, -1, 2437, -1, 4381, -1, 2864, -1], 'generators': [1, 340, 96, 398], 'label': '672.497.12.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.h1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484226
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.g1.a1'], 'contains': ['24.d1.a1', '24.e1.a1', '24.f1.a1', '84.i1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [956, -1, 301, -1, 9926, -1, 67, -1], 'generators': [29, 340, 96, 62], 'label': '672.497.12.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484227
    {'ambient': '672.497', 'aut_centralizer_order': 8, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '168.47', 'aut_weyl_index': 96, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '6.g1.a1'], 'contains': ['24.d1.b1', '24.e1.a1', '24.f1.a1', '84.i1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [956, -1, 598, -1, 9926, -1, 234, -1], 'generators': [29, 340, 96, 398], 'label': '672.497.12.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '12.i1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484228
    {'ambient': '672.497', 'aut_centralizer_order': 168, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '12.b1.a1', 'complements': ['48.d1.a1', '48.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '42.f1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6089, 1090, 9279, 8814, 5189, 473, 6707, 9402], 'generators': [2, 224, 168, 4, 336], 'label': '672.497.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.f1.a1'], 'normal_contains': ['28.a1.a1', '28.c1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484229
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.d1.a1', '28.e1.a1', '28.h1.a1', '28.h1.b1', '42.a1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2264, -1, 3624, -1, 3711, -1, 3863, -1], 'generators': [1, 224, 62, 336, 340], 'label': '672.497.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484230
    {'ambient': '672.497', 'aut_centralizer_order': 72, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.51', 'aut_weyl_index': 504, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.d1.a1', '28.f1.a1', '42.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4345, -1, 7672, -1, 6438, -1, 7980, -1], 'generators': [1, 336, 168, 224, 4], 'label': '672.497.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '168.50', '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': '8.5'}
  • id: 110484231
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.d1.a1', '28.g1.a1', '42.c1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4968, -1, 8252, -1, 3450, -1, 7509, -1], 'generators': [1, 224, 2, 4, 336], 'label': '672.497.14.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484232
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.e1.a1', '28.g1.a1', '42.d1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6948, -1, 6467, -1, 6719, -1, 5843, -1], 'generators': [3, 224, 168, 340, 336], 'label': '672.497.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.e1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484233
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.e1.a1', '28.f1.a1', '42.e1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5245, -1, 5534, -1, 3972, -1, 6010, -1], 'generators': [29, 224, 2, 340, 336], 'label': '672.497.14.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.f1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484234
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.230', 'aut_weyl_index': 168, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.f1.a1', '28.g1.a1', '28.i1.a1', '28.i1.b1', '42.g1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [693, -1, 2993, -1, 8364, -1, 2472, -1], 'generators': [29, 224, 62, 336, 340], 'label': '672.497.14.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.g1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484235
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '168.a1.a1', 'complements': ['336.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1', '6.e1.a1', '14.f1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5280, 2461, 4974, 7509, 4505, 7205, 5651, 2758], 'generators': [29, 96, 340, 336, 2, 224], 'label': '672.497.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 110484255
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.b1.a1'], 'contains': ['48.c1.a1', '168.l1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9815, -1, 7525, -1, 5285, -1, 9094, -1], 'generators': [168, 336, 96], 'label': '672.497.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.l1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484236
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '16.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '48.a1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3191, 4257, 1308, 6822, 4166, 3950, 2673, 6046], 'generators': [340, 96, 224], 'label': '672.497.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484237
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '16.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.g1.a1', '8.h1.a1', '8.i1.a1'], 'contains': ['32.a1.a1', '48.b1.a1', '112.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8384, 5906, 8899, 4105, 863, 4508, 7312, 4092], 'generators': [4, 96, 224], 'label': '672.497.16.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '336.144', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484238
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '16.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.j1.a1', '8.k1.a1', '8.l1.a1'], 'contains': ['32.a1.a1', '48.c1.a1', '112.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9576, 5228, 7847, 5056, 2452, 5066, 8526, 4643], 'generators': [336, 96, 224], 'label': '672.497.16.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1', '112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '336.152', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484239
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '16.d1', '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.c1.a1', '8.g1.a1', '8.j1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '112.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7630, -1, 8600, -1, 1268, -1, 8321, -1], 'generators': [1, 96, 224], 'label': '672.497.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 110484240
    {'ambient': '672.497', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '252.26', 'aut_weyl_index': 64, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.h1.a1', '8.k1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '112.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9095, -1, 4935, -1, 1820, -1, 5745, -1], 'generators': [587, 96, 224], 'label': '672.497.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.e1.a1', 'projective_image': '672.497', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '42.5'}
  • id: 110484241
    {'ambient': '672.497', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.267', 'aut_weyl_index': 252, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '42.b1.a1', '42.c1.a1', '42.d1.a1', '42.e1.a1', '42.f1.a1', '42.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3572, -1, 4299, -1, 6904, -1, 6176, -1], 'generators': [1, 2, 168], 'label': '672.497.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484242
    {'ambient': '672.497', 'aut_centralizer_order': 2688, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '168.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5336, 8201, 6140, 2000, 4856, 6729, 6135, 3303], 'generators': [4, 96, 336], 'label': '672.497.24.a1.a1', 'mobius_quo': -2, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.b1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484243
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.h1.a1', '12.h1.b1'], 'contains': ['48.a1.a1', '48.d1.a1', '168.b1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2625, -1, 2562, -1, 3372, -1, 4811, -1], 'generators': [1, 96, 340], 'label': '672.497.24.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484244
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1', '12.h1.a1', '12.h1.b1'], 'contains': ['48.a1.a1', '48.e1.a1', '168.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4548, -1, 2739, -1, 3551, -1, 3342, -1], 'generators': [587, 96, 340], 'label': '672.497.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484245
    {'ambient': '672.497', 'aut_centralizer_order': 224, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.e1.a1', '12.h1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '168.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1069, -1, 1563, -1, 5791, -1, 2021, -1], 'generators': [62, 340, 96], 'label': '672.497.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484246
    {'ambient': '672.497', 'aut_centralizer_order': 28, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8679', 'aut_weyl_index': 28, 'centralizer': '12.b1.a1', 'complements': ['336.d1.a1', '336.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.e1.a1', '6.f1.a1', '14.a1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5996, 1252, 8144, 8693, 5189, 1856, 6635, 8037], 'generators': [2, 224, 96, 4, 168, 336], 'label': '672.497.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.e1.a1', '4.d1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484247
    {'ambient': '672.497', 'aut_centralizer_order': 224, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.e1.a1', '12.h1.b1', '12.i1.b1'], 'contains': ['48.a1.a1', '168.d1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1069, -1, 1208, -1, 5791, -1, 2181, -1], 'generators': [398, 340, 96], 'label': '672.497.24.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484248
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.c1.a1', '12.i1.a1', '12.i1.b1'], 'contains': ['48.a1.a1', '168.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1353, -1, 247, -1, 8470, -1, 1275, -1], 'generators': [29, 96, 340], 'label': '672.497.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '24.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484249
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.g1.a1', '12.i1.a1', '12.i1.b1'], 'contains': ['48.a1.a1', '168.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2106, -1, 457, -1, 8654, -1, 978, -1], 'generators': [3, 96, 340], 'label': '672.497.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484250
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '168.g1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4902, -1, 8357, -1, 1042, -1, 7868, -1], 'generators': [1, 96, 4], 'label': '672.497.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.g1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484251
    {'ambient': '672.497', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.d1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '168.h1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8278, -1, 5208, -1, 1641, -1, 5452, -1], 'generators': [587, 96, 4], 'label': '672.497.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.h1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484252
    {'ambient': '672.497', 'aut_centralizer_order': 224, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.f1.a1'], 'contains': ['48.b1.a1', '168.i1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7386, -1, 9858, -1, 414, -1, 6986, -1], 'generators': [2, 4, 96], 'label': '672.497.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.i1.a1', 'projective_image': '336.144', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110484253
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 192, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.a1.a1'], 'contains': ['48.c1.a1', '48.d1.a1', '168.j1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7762, -1, 7702, -1, 2273, -1, 8687, -1], 'generators': [1, 96, 336], 'label': '672.497.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.j1.a1', 'projective_image': '336.152', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 110484256
    {'ambient': '672.497', 'aut_centralizer_order': 2016, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.a1.a1', '14.c1.a1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.l1.a1', '84.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8600, 4010, 9197, 5532, 5805, 4032, 9212, 5363], 'generators': [4, 168, 224, 336], 'label': '672.497.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.c1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '168.50', '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: 110484257
    {'ambient': '672.497', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '168.a1.a1', 'complements': ['336.d1.a1', '336.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.g1.a1', '4.i1.a1', '4.i1.b1', '6.g1.a1', '14.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1566, 3671, 2338, 4860, 8003, 3087, 2635, 6822], 'generators': [29, 96, 336, 340, 62, 224], 'label': '672.497.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '168.50', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 110484258
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.a1.a1', '14.b1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.b1.a1', '56.b1.b1', '84.d1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1778, 574, 2596, 9176, 5474, 866, 2470, 9533], 'generators': [62, 336, 340, 224], 'label': '672.497.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.d1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.b1.a1', '56.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484259
    {'ambient': '672.497', 'aut_centralizer_order': 672, 'aut_label': '28.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.a1.a1', '14.d1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.i1.a1', '84.e1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6294, 1861, 9675, 7637, 2159, 2985, 7334, 6396], 'generators': [2, 336, 4, 224], 'label': '672.497.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.e1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '168.50', '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': '12.4'}
  • id: 110484260
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '28.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1'], 'contains': ['56.a1.a1', '56.c1.a1', '56.g1.a1', '56.j1.a1', '84.b1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5380, -1, 8802, -1, 1655, -1, 8627, -1], 'generators': [1, 4, 336, 224], 'label': '672.497.28.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '168.50', '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': '4.2'}
  • id: 110484261
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.b1.a1', '14.e1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.d1.a1', '56.h1.a1', '56.k1.a1', '84.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7043, -1, 5520, -1, 2484, -1, 5568, -1], 'generators': [587, 4, 336, 224], 'label': '672.497.28.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.e1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484262
    {'ambient': '672.497', 'aut_centralizer_order': 288, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2016, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.c1.a1', '14.f1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.e1.a1', '84.f1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [905, -1, 4065, -1, 7632, -1, 4744, -1], 'generators': [29, 336, 224, 340], 'label': '672.497.28.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.f1.a1', 'projective_image': '168.50', '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: 110484263
    {'ambient': '672.497', 'aut_centralizer_order': 96, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.d1.a1', '14.e1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.f1.a1', '84.g1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4142, -1, 6594, -1, 7963, -1, 4445, -1], 'generators': [3, 336, 340, 224], 'label': '672.497.28.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.g1.a1', 'projective_image': '168.50', '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': '24.14'}
  • id: 110484264
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.b1.a1'], 'contains': ['56.b1.a1', '56.c1.a1', '56.d1.a1', '84.h1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [1259, -1, 2854, -1, 4198, -1, 3028, -1], 'generators': [1, 62, 340, 224], 'label': '672.497.28.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.h1.a1', 'projective_image': '336.149', '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': '12.4'}
  • id: 110484265
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '14.b1.a1'], 'contains': ['56.b1.b1', '56.c1.a1', '56.d1.a1', '84.h1.b1'], 'core': '56.b1.b1', 'coset_action_label': None, 'count': 14, 'diagramx': [1259, -1, 3208, -1, 4198, -1, 3195, -1], 'generators': [1, 398, 340, 224], 'label': '672.497.28.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.h1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484266
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '14.g1.a1'], 'contains': ['56.b1.a1', '56.e1.a1', '56.f1.a1', '84.i1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [356, -1, 636, -1, 9741, -1, 400, -1], 'generators': [29, 62, 340, 224], 'label': '672.497.28.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1.a1', 'old_label': '28.i1.a1', 'projective_image': '336.149', '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': '12.4'}
  • id: 110484267
    {'ambient': '672.497', 'aut_centralizer_order': 24, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '24.14', 'aut_weyl_index': 672, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '14.g1.a1'], 'contains': ['56.b1.b1', '56.e1.a1', '56.f1.a1', '84.i1.b1'], 'core': '56.b1.b1', 'coset_action_label': None, 'count': 14, 'diagramx': [356, -1, 819, -1, 9741, -1, 784, -1], 'generators': [29, 398, 340, 224], 'label': '672.497.28.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1.a1', 'old_label': '28.i1.b1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 110484268
    {'ambient': '672.497', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ei', 'aut_weyl_index': 6, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '21.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3781, -1, 3992, -1, 6505, -1, 5944, -1], 'generators': [1, 96, 168, 4, 2, 336], 'label': '672.497.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 110484269
    {'ambient': '672.497', 'aut_centralizer_order': 1344, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1344, 'centralizer': '4.c1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['96.a1.a1', '224.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9141, 5566, 7938, 4385, 1834, 4534, 7294, 4893], 'generators': [224, 96], 'label': '672.497.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['96.a1.a1', '224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '672.497', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110484270
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '42.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '14.b1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.c1.a1', '84.d1.a1', '84.h1.a1', '84.h1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2076, -1, 3775, -1, 4834, -1, 3565, -1], 'generators': [1, 62, 336], 'label': '672.497.42.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484271
    {'ambient': '672.497', 'aut_centralizer_order': 144, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.c1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.b1.a1', '84.f1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3481, -1, 6142, -1, 7128, -1, 8094, -1], 'generators': [1, 168], 'label': '672.497.42.b1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '42.b1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484272
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '14.d1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.e1.a1', '84.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3722, -1, 6745, -1, 4583, -1, 7587, -1], 'generators': [1, 2], 'label': '672.497.42.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.c1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484273
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '14.e1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.c1.a1', '84.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [6438, -1, 4716, -1, 7355, -1, 5812, -1], 'generators': [3, 168], 'label': '672.497.42.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.d1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484274
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '14.f1.a1', '21.a1.a1'], 'contains': ['84.c1.a1', '84.e1.a1', '84.f1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [4573, -1, 4339, -1, 6081, -1, 6017, -1], 'generators': [29, 2], 'label': '672.497.42.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.e1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484275
    {'ambient': '672.497', 'aut_centralizer_order': 336, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '6.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.d1.a1', '84.e1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5286, -1, 6940, -1, 6605, -1, 6812, -1], 'generators': [2, 168], 'label': '672.497.42.f1.a1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '42.f1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484276
    {'ambient': '672.497', 'aut_centralizer_order': 48, 'aut_label': '42.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1008, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '14.g1.a1', '21.a1.a1'], 'contains': ['84.d1.a1', '84.f1.a1', '84.g1.a1', '84.i1.a1', '84.i1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1539, -1, 2568, -1, 8937, -1, 1900, -1], 'generators': [29, 62, 336], 'label': '672.497.42.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.g1.a1', 'projective_image': '168.50', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110484277
    {'ambient': '672.497', 'aut_centralizer_order': 2688, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1', '24.d1.b1', '24.e1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '336.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2697, 7077, 1451, 2959, 4355, 5612, 2670, 4342], 'generators': [340, 96], 'label': '672.497.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110484278
    {'ambient': '672.497', 'aut_centralizer_order': 2688, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 2688, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.g1.a1', '24.h1.a1', '24.i1.a1'], 'contains': ['96.a1.a1', '336.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7331, 8432, 8544, 1343, 1369, 6171, 7004, 3240], 'generators': [4, 96], 'label': '672.497.48.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '336.144', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}