Abstract group data - 960.6254

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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': '40.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [4, 4, 2, 4, 2, 4, 2], 'aut_gens': [[1, 2, 24, 48], [481, 14, 24, 816], [489, 514, 744, 624], [493, 250, 504, 456], [245, 250, 240, 888], [25, 254, 504, 912], [481, 502, 504, 168], [493, 262, 504, 456]], 'aut_group': '1536.408640917', 'aut_hash': 5803646388267248920, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1536, 'aut_permdeg': 32, 'aut_perms': [72492346837544948525812709140295040, 17714254334117046740566889572428778, 228438120960164784153576475574475013, 38322722589341942860973755379070386, 68633375664754202388549720999804170, 195775235401432989449168757903641875, 228438120954580697325004279729840695], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 8, 1, 1], [4, 2, 2, 1], [4, 6, 1, 2], [4, 6, 2, 1], [4, 12, 2, 2], [5, 1, 4, 1], [6, 8, 1, 3], [8, 12, 2, 2], [10, 1, 4, 3], [12, 8, 4, 1], [15, 8, 4, 1], [20, 2, 8, 1], [20, 6, 4, 2], [20, 6, 8, 1], [20, 12, 8, 2], [30, 8, 4, 3], [40, 12, 8, 2], [60, 8, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4\\times C_4\\times S_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '64.260', 'autcent_hash': 260, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '24.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 6, 4], [4, 12, 4], [5, 1, 4], [6, 8, 3], [8, 12, 4], [10, 1, 12], [12, 8, 4], [15, 8, 4], [20, 2, 8], [20, 6, 16], [20, 12, 16], [30, 8, 12], [40, 12, 16], [60, 8, 16]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '48.48', 'commutator_count': 1, 'commutator_label': '24.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 6254, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['192.947', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 8, 1, 1], [4, 2, 2, 1], [4, 6, 1, 2], [4, 6, 2, 1], [4, 12, 1, 2], [4, 12, 2, 1], [5, 1, 4, 1], [6, 8, 1, 3], [8, 12, 1, 2], [8, 12, 2, 1], [10, 1, 4, 3], [12, 8, 4, 1], [15, 8, 4, 1], [20, 2, 8, 1], [20, 6, 4, 2], [20, 6, 8, 1], [20, 12, 4, 2], [20, 12, 8, 1], [30, 8, 4, 3], [40, 12, 4, 2], [40, 12, 8, 1], [60, 8, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 108, 'exponent': 120, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '240.196', 'hash': 6254, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 6, 2, 2], 'inner_gens': [[1, 490, 504, 552], [497, 2, 240, 72], [481, 266, 24, 528], [505, 26, 504, 48]], 'inner_hash': 48, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': True, 'inner_tex': 'C_2\\times S_4', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 40], [2, 20], [3, 40], [4, 30]], 'label': '960.6254', 'linC_count': 576, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 16, 'linQ_dim': 14, 'linQ_dim_count': 24, 'linR_count': 160, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2.(C20*S4)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 130, 'number_divisions': 38, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 134, 'number_subgroups': 446, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 8], [4, 76], [5, 4], [6, 24], [8, 48], [10, 12], [12, 32], [15, 32], [20, 304], [30, 96], [40, 192], [60, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[1, 10, 504, 552], [13, 2, 24, 48], [1, 14, 24, 48], [1, 2, 24, 816]], 'outer_group': '32.45', 'outer_hash': 45, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 32, 'outer_perms': [8250311271909446485476156660344041, 17508267730465192346769804442694884, 26047898994165116246942772090139938, 34546977905640644393140055043261696], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [3, 4], [4, 7], [6, 2], [8, 6], [12, 4], [16, 3], [24, 2], [32, 2]], 'representations': {'PC': {'code': 7906472554701253088876788589678947255936198011654646889137866998019, 'gens': [1, 2, 5, 6], 'pres': [8, -2, -2, -2, -3, -2, 2, -2, -5, 3840, 7841, 41, 482, 66, 515, 20164, 4812, 2660, 1228, 836, 26501, 1741, 9525, 461, 1093, 141, 166]}, 'Perm': {'d': 25, 'gens': [705164489033053638758407, 104585624273058431328017, 46200, 7, 1586389556817030067200, 1374006611855239004966400, 2024501140208834040902400, 2594704629037433343379200]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 20], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2.(C_{20}\\times S_4)', 'transitive_degree': 320, '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: 143422830
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 6254, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 143422872
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 6254, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 492, 'size': 1}
  • id: 143422883
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 6254, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 480, 'size': 1}
  • id: 143422894
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 6254, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 12, 'size': 1}
  • id: 143422905
    {'aut_label': '3A', 'centralizer': '8.b1.a1', 'counter': 5, 'group_counter': 6254, 'group_order': 960, 'label': '3A', 'order': 3, 'powers': [5, 1, 5], 'representative': 8, 'size': 8}
  • id: 143422916
    {'aut_label': '4A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 6254, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [4, 7, 6], 'representative': 6, 'size': 2}
  • id: 143422927
    {'aut_label': '4A1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 6254, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [4, 6, 7], 'representative': 18, 'size': 2}
  • id: 143422938
    {'aut_label': '4B', 'centralizer': '6.c1.a1', 'counter': 8, 'group_counter': 6254, 'group_order': 960, 'label': '4B', 'order': 4, 'powers': [3, 8, 8], 'representative': 504, 'size': 6}
  • id: 143422949
    {'aut_label': '4C', 'centralizer': '6.c1.a1', 'counter': 9, 'group_counter': 6254, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [3, 9, 9], 'representative': 756, 'size': 6}
  • id: 143422831
    {'aut_label': '4D1', 'centralizer': '6.b1.a1', 'counter': 10, 'group_counter': 6254, 'group_order': 960, 'label': '4D1', 'order': 4, 'powers': [2, 11, 10], 'representative': 246, 'size': 6}
  • id: 143422842
    {'aut_label': '4D1', 'centralizer': '6.b1.a1', 'counter': 11, 'group_counter': 6254, 'group_order': 960, 'label': '4D-1', 'order': 4, 'powers': [2, 10, 11], 'representative': 738, 'size': 6}
  • id: 143422853
    {'aut_label': '4E', 'centralizer': '12.i1.a1', 'counter': 12, 'group_counter': 6254, 'group_order': 960, 'label': '4E', 'order': 4, 'powers': [3, 12, 12], 'representative': 1, 'size': 12}
  • id: 143422864
    {'aut_label': '4E', 'centralizer': '12.i1.a1', 'counter': 13, 'group_counter': 6254, 'group_order': 960, 'label': '4F', 'order': 4, 'powers': [3, 13, 13], 'representative': 5, 'size': 12}
  • id: 143422866
    {'aut_label': '4G1', 'centralizer': '12.i1.a1', 'counter': 14, 'group_counter': 6254, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [4, 15, 14], 'representative': 3, 'size': 12}
  • id: 143422867
    {'aut_label': '4G1', 'centralizer': '12.i1.a1', 'counter': 15, 'group_counter': 6254, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [4, 14, 15], 'representative': 15, 'size': 12}
  • id: 143422868
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 6254, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [18, 19, 1], 'representative': 192, 'size': 1}
  • id: 143422869
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 6254, 'group_order': 960, 'label': '5A-1', 'order': 5, 'powers': [19, 18, 1], 'representative': 768, 'size': 1}
  • id: 143422870
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 6254, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [17, 16, 1], 'representative': 384, 'size': 1}
  • id: 143422871
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 6254, 'group_order': 960, 'label': '5A-2', 'order': 5, 'powers': [16, 17, 1], 'representative': 576, 'size': 1}
  • id: 143422873
    {'aut_label': '6A', 'centralizer': '8.b1.a1', 'counter': 20, 'group_counter': 6254, 'group_order': 960, 'label': '6A', 'order': 6, 'powers': [5, 3, 20], 'representative': 496, 'size': 8}
  • id: 143422874
    {'aut_label': '6B', 'centralizer': '8.b1.a1', 'counter': 21, 'group_counter': 6254, 'group_order': 960, 'label': '6B', 'order': 6, 'powers': [5, 2, 21], 'representative': 500, 'size': 8}
  • id: 143422875
    {'aut_label': '6C', 'centralizer': '8.b1.a1', 'counter': 22, 'group_counter': 6254, 'group_order': 960, 'label': '6C', 'order': 6, 'powers': [5, 4, 22], 'representative': 20, 'size': 8}
  • id: 143422876
    {'aut_label': '8A', 'centralizer': '12.g1.a1', 'counter': 23, 'group_counter': 6254, 'group_order': 960, 'label': '8A', 'order': 8, 'powers': [8, 23, 23], 'representative': 721, 'size': 12}
  • id: 143422877
    {'aut_label': '8A', 'centralizer': '12.g1.a1', 'counter': 24, 'group_counter': 6254, 'group_order': 960, 'label': '8B', 'order': 8, 'powers': [8, 24, 24], 'representative': 509, 'size': 12}
  • id: 143422878
    {'aut_label': '8C1', 'centralizer': '12.h1.a1', 'counter': 25, 'group_counter': 6254, 'group_order': 960, 'label': '8C1', 'order': 8, 'powers': [9, 26, 25], 'representative': 723, 'size': 12}
  • id: 143422879
    {'aut_label': '8C1', 'centralizer': '12.h1.a1', 'counter': 26, 'group_counter': 6254, 'group_order': 960, 'label': '8C-1', 'order': 8, 'powers': [9, 25, 26], 'representative': 519, 'size': 12}
  • id: 143422880
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 6254, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [16, 29, 2], 'representative': 108, 'size': 1}
  • id: 143422881
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 6254, 'group_order': 960, 'label': '10A-1', 'order': 10, 'powers': [17, 30, 2], 'representative': 876, 'size': 1}
  • id: 143422882
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 6254, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [19, 28, 2], 'representative': 300, 'size': 1}
  • id: 143422884
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 6254, 'group_order': 960, 'label': '10A-3', 'order': 10, 'powers': [18, 27, 2], 'representative': 684, 'size': 1}
  • id: 143422885
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 6254, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [17, 33, 3], 'representative': 864, 'size': 1}
  • id: 143422886
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 6254, 'group_order': 960, 'label': '10B-1', 'order': 10, 'powers': [16, 34, 3], 'representative': 96, 'size': 1}
  • id: 143422887
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 6254, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [18, 32, 3], 'representative': 672, 'size': 1}
  • id: 143422888
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 6254, 'group_order': 960, 'label': '10B-3', 'order': 10, 'powers': [19, 31, 3], 'representative': 288, 'size': 1}
  • id: 143422889
    {'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 6254, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [17, 37, 4], 'representative': 396, 'size': 1}
  • id: 143422890
    {'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 6254, 'group_order': 960, 'label': '10C-1', 'order': 10, 'powers': [16, 38, 4], 'representative': 588, 'size': 1}
  • id: 143422891
    {'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 6254, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [18, 36, 4], 'representative': 204, 'size': 1}
  • id: 143422892
    {'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 6254, 'group_order': 960, 'label': '10C-3', 'order': 10, 'powers': [19, 35, 4], 'representative': 780, 'size': 1}
  • id: 143422893
    {'aut_label': '12A1', 'centralizer': '8.b1.a1', 'counter': 39, 'group_counter': 6254, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [22, 6, 41], 'representative': 10, 'size': 8}
  • id: 143422895
    {'aut_label': '12A1', 'centralizer': '8.b1.a1', 'counter': 40, 'group_counter': 6254, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [22, 7, 42], 'representative': 14, 'size': 8}
  • id: 143422896
    {'aut_label': '12A1', 'centralizer': '8.b1.a1', 'counter': 41, 'group_counter': 6254, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [22, 6, 39], 'representative': 2, 'size': 8}
  • id: 143422897
    {'aut_label': '12A1', 'centralizer': '8.b1.a1', 'counter': 42, 'group_counter': 6254, 'group_order': 960, 'label': '12A-5', 'order': 12, 'powers': [22, 7, 40], 'representative': 22, 'size': 8}
  • id: 143422898
    {'aut_label': '15A1', 'centralizer': '8.b1.a1', 'counter': 43, 'group_counter': 6254, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [45, 19, 5], 'representative': 208, 'size': 8}
  • id: 143422899
    {'aut_label': '15A1', 'centralizer': '8.b1.a1', 'counter': 44, 'group_counter': 6254, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [46, 18, 5], 'representative': 776, 'size': 8}
  • id: 143422900
    {'aut_label': '15A1', 'centralizer': '8.b1.a1', 'counter': 45, 'group_counter': 6254, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [44, 16, 5], 'representative': 392, 'size': 8}
  • id: 143422901
    {'aut_label': '15A1', 'centralizer': '8.b1.a1', 'counter': 46, 'group_counter': 6254, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [43, 17, 5], 'representative': 592, 'size': 8}
  • id: 143422902
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 6254, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [37, 49, 6], 'representative': 582, 'size': 2}
  • id: 143422903
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 6254, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [38, 50, 7], 'representative': 402, 'size': 2}
  • id: 143422904
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 6254, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [36, 53, 7], 'representative': 786, 'size': 2}
  • id: 143422906
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 6254, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [35, 54, 6], 'representative': 198, 'size': 2}
  • id: 143422907
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 6254, 'group_order': 960, 'label': '20A7', 'order': 20, 'powers': [35, 47, 7], 'representative': 210, 'size': 2}
  • id: 143422908
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 6254, 'group_order': 960, 'label': '20A-7', 'order': 20, 'powers': [36, 48, 6], 'representative': 774, 'size': 2}
  • id: 143422909
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 6254, 'group_order': 960, 'label': '20A9', 'order': 20, 'powers': [38, 51, 6], 'representative': 390, 'size': 2}
  • id: 143422910
    {'aut_label': '20A1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 6254, 'group_order': 960, 'label': '20A-9', 'order': 20, 'powers': [37, 52, 7], 'representative': 594, 'size': 2}
  • id: 143422911
    {'aut_label': '20B1', 'centralizer': '6.c1.a1', 'counter': 55, 'group_counter': 6254, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [33, 57, 8], 'representative': 120, 'size': 6}
  • id: 143422912
    {'aut_label': '20B1', 'centralizer': '6.c1.a1', 'counter': 56, 'group_counter': 6254, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [34, 58, 8], 'representative': 408, 'size': 6}
  • id: 143422913
    {'aut_label': '20B1', 'centralizer': '6.c1.a1', 'counter': 57, 'group_counter': 6254, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [32, 56, 8], 'representative': 792, 'size': 6}
  • id: 143422914
    {'aut_label': '20B1', 'centralizer': '6.c1.a1', 'counter': 58, 'group_counter': 6254, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [31, 55, 8], 'representative': 696, 'size': 6}
  • id: 143422915
    {'aut_label': '20C1', 'centralizer': '6.c1.a1', 'counter': 59, 'group_counter': 6254, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [33, 61, 9], 'representative': 372, 'size': 6}
  • id: 143422917
    {'aut_label': '20C1', 'centralizer': '6.c1.a1', 'counter': 60, 'group_counter': 6254, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [34, 62, 9], 'representative': 660, 'size': 6}
  • id: 143422918
    {'aut_label': '20C1', 'centralizer': '6.c1.a1', 'counter': 61, 'group_counter': 6254, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [32, 60, 9], 'representative': 84, 'size': 6}
  • id: 143422919
    {'aut_label': '20C1', 'centralizer': '6.c1.a1', 'counter': 62, 'group_counter': 6254, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [31, 59, 9], 'representative': 948, 'size': 6}
  • id: 143422920
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 63, 'group_counter': 6254, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [27, 65, 10], 'representative': 54, 'size': 6}
  • id: 143422921
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 64, 'group_counter': 6254, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [28, 66, 11], 'representative': 234, 'size': 6}
  • id: 143422922
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 65, 'group_counter': 6254, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [29, 69, 11], 'representative': 162, 'size': 6}
  • id: 143422923
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 66, 'group_counter': 6254, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [30, 70, 10], 'representative': 126, 'size': 6}
  • id: 143422924
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 67, 'group_counter': 6254, 'group_order': 960, 'label': '20D7', 'order': 20, 'powers': [30, 63, 11], 'representative': 138, 'size': 6}
  • id: 143422925
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 68, 'group_counter': 6254, 'group_order': 960, 'label': '20D-7', 'order': 20, 'powers': [29, 64, 10], 'representative': 150, 'size': 6}
  • id: 143422926
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 69, 'group_counter': 6254, 'group_order': 960, 'label': '20D9', 'order': 20, 'powers': [28, 67, 10], 'representative': 222, 'size': 6}
  • id: 143422928
    {'aut_label': '20D1', 'centralizer': '6.b1.a1', 'counter': 70, 'group_counter': 6254, 'group_order': 960, 'label': '20D-9', 'order': 20, 'powers': [27, 68, 11], 'representative': 66, 'size': 6}
  • id: 143422929
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 71, 'group_counter': 6254, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [31, 73, 12], 'representative': 193, 'size': 12}
  • id: 143422930
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 72, 'group_counter': 6254, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [32, 74, 12], 'representative': 769, 'size': 12}
  • id: 143422931
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 73, 'group_counter': 6254, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [33, 72, 12], 'representative': 97, 'size': 12}
  • id: 143422932
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 74, 'group_counter': 6254, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [34, 71, 12], 'representative': 385, 'size': 12}
  • id: 143422933
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 75, 'group_counter': 6254, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [31, 77, 13], 'representative': 197, 'size': 12}
  • id: 143422934
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 76, 'group_counter': 6254, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [32, 78, 13], 'representative': 53, 'size': 12}
  • id: 143422935
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 77, 'group_counter': 6254, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [33, 76, 13], 'representative': 101, 'size': 12}
  • id: 143422936
    {'aut_label': '20E1', 'centralizer': '12.i1.a1', 'counter': 78, 'group_counter': 6254, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [34, 75, 13], 'representative': 389, 'size': 12}
  • id: 143422937
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 79, 'group_counter': 6254, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [35, 81, 14], 'representative': 195, 'size': 12}
  • id: 143422939
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 80, 'group_counter': 6254, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [36, 82, 15], 'representative': 775, 'size': 12}
  • id: 143422940
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 81, 'group_counter': 6254, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [37, 85, 15], 'representative': 103, 'size': 12}
  • id: 143422941
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 82, 'group_counter': 6254, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [38, 86, 14], 'representative': 387, 'size': 12}
  • id: 143422942
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 83, 'group_counter': 6254, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [38, 79, 15], 'representative': 391, 'size': 12}
  • id: 143422943
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 84, 'group_counter': 6254, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [37, 80, 14], 'representative': 99, 'size': 12}
  • id: 143422944
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 85, 'group_counter': 6254, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [36, 83, 14], 'representative': 771, 'size': 12}
  • id: 143422945
    {'aut_label': '20G1', 'centralizer': '12.i1.a1', 'counter': 86, 'group_counter': 6254, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [35, 84, 15], 'representative': 199, 'size': 12}
  • id: 143422946
    {'aut_label': '30A1', 'centralizer': '8.b1.a1', 'counter': 87, 'group_counter': 6254, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [43, 34, 20], 'representative': 104, 'size': 8}
  • id: 143422947
    {'aut_label': '30A1', 'centralizer': '8.b1.a1', 'counter': 88, 'group_counter': 6254, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [44, 33, 20], 'representative': 152, 'size': 8}
  • id: 143422948
    {'aut_label': '30A1', 'centralizer': '8.b1.a1', 'counter': 89, 'group_counter': 6254, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [45, 32, 20], 'representative': 232, 'size': 8}
  • id: 143422950
    {'aut_label': '30A1', 'centralizer': '8.b1.a1', 'counter': 90, 'group_counter': 6254, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [46, 31, 20], 'representative': 64, 'size': 8}
  • id: 143422951
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 91, 'group_counter': 6254, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [43, 29, 21], 'representative': 100, 'size': 8}
  • id: 143422952
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 92, 'group_counter': 6254, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [44, 30, 21], 'representative': 412, 'size': 8}
  • id: 143422953
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 93, 'group_counter': 6254, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [45, 27, 21], 'representative': 220, 'size': 8}
  • id: 143422954
    {'aut_label': '30B1', 'centralizer': '8.b1.a1', 'counter': 94, 'group_counter': 6254, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [46, 28, 21], 'representative': 52, 'size': 8}
  • id: 143422955
    {'aut_label': '30C1', 'centralizer': '8.b1.a1', 'counter': 95, 'group_counter': 6254, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [44, 37, 22], 'representative': 388, 'size': 8}
  • id: 143422956
    {'aut_label': '30C1', 'centralizer': '8.b1.a1', 'counter': 96, 'group_counter': 6254, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [43, 38, 22], 'representative': 596, 'size': 8}
  • id: 143422957
    {'aut_label': '30C1', 'centralizer': '8.b1.a1', 'counter': 97, 'group_counter': 6254, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [46, 35, 22], 'representative': 772, 'size': 8}
  • id: 143422958
    {'aut_label': '30C1', 'centralizer': '8.b1.a1', 'counter': 98, 'group_counter': 6254, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [45, 36, 22], 'representative': 212, 'size': 8}
  • id: 143422959
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 99, 'group_counter': 6254, 'group_order': 960, 'label': '40A1', 'order': 40, 'powers': [55, 101, 23], 'representative': 49, 'size': 12}
  • id: 143422832
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 100, 'group_counter': 6254, 'group_order': 960, 'label': '40A-1', 'order': 40, 'powers': [56, 102, 23], 'representative': 433, 'size': 12}
  • id: 143422833
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 101, 'group_counter': 6254, 'group_order': 960, 'label': '40A3', 'order': 40, 'powers': [57, 100, 23], 'representative': 145, 'size': 12}
  • id: 143422834
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 102, 'group_counter': 6254, 'group_order': 960, 'label': '40A-3', 'order': 40, 'powers': [58, 99, 23], 'representative': 817, 'size': 12}
  • id: 143422835
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 103, 'group_counter': 6254, 'group_order': 960, 'label': '40B1', 'order': 40, 'powers': [56, 105, 24], 'representative': 221, 'size': 12}
  • id: 143422836
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 104, 'group_counter': 6254, 'group_order': 960, 'label': '40B-1', 'order': 40, 'powers': [55, 106, 24], 'representative': 77, 'size': 12}
  • id: 143422837
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 105, 'group_counter': 6254, 'group_order': 960, 'label': '40B3', 'order': 40, 'powers': [58, 104, 24], 'representative': 125, 'size': 12}
  • id: 143422838
    {'aut_label': '40A1', 'centralizer': '12.g1.a1', 'counter': 106, 'group_counter': 6254, 'group_order': 960, 'label': '40B-3', 'order': 40, 'powers': [57, 103, 24], 'representative': 413, 'size': 12}
  • id: 143422839
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 107, 'group_counter': 6254, 'group_order': 960, 'label': '40C1', 'order': 40, 'powers': [59, 109, 25], 'representative': 51, 'size': 12}
  • id: 143422840
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 108, 'group_counter': 6254, 'group_order': 960, 'label': '40C-1', 'order': 40, 'powers': [60, 110, 26], 'representative': 439, 'size': 12}
  • id: 143422841
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 109, 'group_counter': 6254, 'group_order': 960, 'label': '40C3', 'order': 40, 'powers': [61, 113, 26], 'representative': 151, 'size': 12}
  • id: 143422843
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 110, 'group_counter': 6254, 'group_order': 960, 'label': '40C-3', 'order': 40, 'powers': [62, 114, 25], 'representative': 123, 'size': 12}
  • id: 143422844
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 111, 'group_counter': 6254, 'group_order': 960, 'label': '40C7', 'order': 40, 'powers': [62, 107, 26], 'representative': 823, 'size': 12}
  • id: 143422845
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 112, 'group_counter': 6254, 'group_order': 960, 'label': '40C-7', 'order': 40, 'powers': [61, 108, 25], 'representative': 147, 'size': 12}
  • id: 143422846
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 113, 'group_counter': 6254, 'group_order': 960, 'label': '40C9', 'order': 40, 'powers': [60, 111, 25], 'representative': 219, 'size': 12}
  • id: 143422847
    {'aut_label': '40C1', 'centralizer': '12.h1.a1', 'counter': 114, 'group_counter': 6254, 'group_order': 960, 'label': '40C-9', 'order': 40, 'powers': [59, 112, 26], 'representative': 55, 'size': 12}
  • id: 143422848
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 115, 'group_counter': 6254, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [95, 47, 39], 'representative': 194, 'size': 8}
  • id: 143422849
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 116, 'group_counter': 6254, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [96, 48, 40], 'representative': 790, 'size': 8}
  • id: 143422850
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 117, 'group_counter': 6254, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [97, 51, 42], 'representative': 398, 'size': 8}
  • id: 143422851
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 118, 'group_counter': 6254, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [98, 52, 41], 'representative': 98, 'size': 8}
  • id: 143422852
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 119, 'group_counter': 6254, 'group_order': 960, 'label': '60A11', 'order': 60, 'powers': [95, 54, 40], 'representative': 214, 'size': 8}
  • id: 143422854
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 120, 'group_counter': 6254, 'group_order': 960, 'label': '60A-11', 'order': 60, 'powers': [96, 53, 39], 'representative': 50, 'size': 8}
  • id: 143422855
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 121, 'group_counter': 6254, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [98, 52, 39], 'representative': 578, 'size': 8}
  • id: 143422856
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 122, 'group_counter': 6254, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [97, 51, 40], 'representative': 406, 'size': 8}
  • id: 143422857
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 123, 'group_counter': 6254, 'group_order': 960, 'label': '60A17', 'order': 60, 'powers': [97, 50, 41], 'representative': 146, 'size': 8}
  • id: 143422858
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 124, 'group_counter': 6254, 'group_order': 960, 'label': '60A-17', 'order': 60, 'powers': [98, 49, 42], 'representative': 118, 'size': 8}
  • id: 143422859
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 125, 'group_counter': 6254, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [96, 48, 42], 'representative': 62, 'size': 8}
  • id: 143422860
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 126, 'group_counter': 6254, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [95, 47, 41], 'representative': 202, 'size': 8}
  • id: 143422861
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 127, 'group_counter': 6254, 'group_order': 960, 'label': '60A23', 'order': 60, 'powers': [98, 49, 40], 'representative': 110, 'size': 8}
  • id: 143422862
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 128, 'group_counter': 6254, 'group_order': 960, 'label': '60A-23', 'order': 60, 'powers': [97, 50, 39], 'representative': 386, 'size': 8}
  • id: 143422863
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 129, 'group_counter': 6254, 'group_order': 960, 'label': '60A29', 'order': 60, 'powers': [96, 53, 41], 'representative': 290, 'size': 8}
  • id: 143422865
    {'aut_label': '60A1', 'centralizer': '8.b1.a1', 'counter': 130, 'group_counter': 6254, 'group_order': 960, 'label': '60A-29', 'order': 60, 'powers': [95, 54, 42], 'representative': 206, 'size': 8}
• 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: 13739508
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13739519
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13739530
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 13739540
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 13739541
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 0, -2, 0, 2, 0, 0, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739542
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739512
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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], 'schur_index': 1}
  • id: 13739513
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 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, 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], 'schur_index': 1}
  • id: 13739518
    {'cdim': 3, 'counter': 19, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 0, 3, 3, -1, -1, -1, -1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739520
    {'cdim': 3, 'counter': 20, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3b', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 0, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739521
    {'cdim': 3, 'counter': 21, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3c', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 0, -3, -3, 1, -1, 1, -1, -1, -1, 1, 1, 3, 3, 3, 3, 0, 0, 0, -1, 1, 1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739522
    {'cdim': 3, 'counter': 22, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3d', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 0, -3, -3, 1, -1, 1, -1, 1, 1, -1, -1, 3, 3, 3, 3, 0, 0, 0, 1, -1, -1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739543
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1g', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13739544
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1h', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 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: 13739545
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1i', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -4, 4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -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: 13739509
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1j', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13739514
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2c', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, -2, 2, 2, 0, 0, 0, 0, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 0, 4, 0, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739532
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4a', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, -2, 2, 0, 0, 0, 0, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, -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, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 13739533
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4b', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, 0, 0, 0, 0, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, -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, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 13739523
    {'cdim': 3, 'counter': 23, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3e', 'multiplicity': 2, 'nt': [12, 53], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 2, 6, 6, 6, 6, 0, 0, 0, -2, 0, 0, 2, -6, 6, -6, 6, -6, 6, 6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739524
    {'cdim': 3, 'counter': 24, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3f', 'multiplicity': 2, 'nt': [12, 53], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, -2, 6, 6, 6, 6, 0, 0, 0, 2, 0, 0, -2, -6, 6, -6, 6, -6, 6, 6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739510
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1k', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 0, 0, 0, -8, 0, 8, 0, 0, -8, 8, -2, -2, -2, -2, 8, -8, -8, 8, 0, 0, -8, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739511
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.1l', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 0, 0, 0, -8, 0, 8, 0, 0, 8, -8, -2, -2, -2, -2, 8, -8, -8, -8, 0, 0, 8, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739515
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2d', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -4, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, 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], 'schur_index': 1}
  • id: 13739516
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2e', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -4, -8, -8, -8, 8, -8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 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, 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], 'schur_index': 1}
  • id: 13739534
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4c', 'multiplicity': 2, 'nt': [16, 187], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, -2, -2, 2, 0, 0, 0, 0, -8, -8, -8, -8, 8, -8, -8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 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, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739535
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4d', 'multiplicity': 2, 'nt': [32, 412], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, -2, 2, -2, 0, 0, 0, 0, 8, -8, 8, -8, -8, -8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 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, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 13739525
    {'cdim': 3, 'counter': 25, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3g', 'multiplicity': 4, 'nt': [20, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, 12, 12, -4, -4, -4, -4, 4, 4, 4, 4, -3, -3, -3, -3, 0, 0, 0, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739526
    {'cdim': 3, 'counter': 26, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3h', 'multiplicity': 4, 'nt': [30, 34], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, 12, 12, -4, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, 0, 0, 0, 4, 4, 4, 4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739527
    {'cdim': 3, 'counter': 27, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3i', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, -12, -12, 4, -4, 4, -4, -4, -4, 4, 4, -3, -3, -3, -3, 0, 0, 0, -4, 4, 4, -4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739528
    {'cdim': 3, 'counter': 28, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3j', 'multiplicity': 4, 'nt': [30, 65], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 0, -12, -12, 4, -4, 4, -4, 4, 4, -4, -4, -3, -3, -3, -3, 0, 0, 0, 4, -4, -4, 4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739517
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.2f', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -8, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, -4, -4, -4, -4, -8, 8, 8, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, 0, -4, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739536
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4e', 'multiplicity': 4, 'nt': [240, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, -8, 8, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 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, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739537
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4f', 'multiplicity': 4, 'nt': [240, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 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, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739529
    {'cdim': 3, 'counter': 29, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3k', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 8, 0, -8, 0, 0, -8, 8, -6, -6, -6, -6, 0, 0, 0, -8, 0, 0, 8, 6, -6, 6, -6, 6, -6, -6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739531
    {'cdim': 3, 'counter': 30, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.3l', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 8, 0, -8, 0, 0, 8, -8, -6, -6, -6, -6, 0, 0, 0, 8, 0, 0, -8, 6, -6, 6, -6, 6, -6, -6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739538
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4g', 'multiplicity': 8, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 8, 8, 8, 8, -8, 8, 8, -8, -8, -8, 8, 8, 0, 0, 0, 0, -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, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 13739539
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '960.6254', 'group_order': 960, 'image': None, 'label': '960.6254.4h', 'multiplicity': 8, 'nt': [160, 0], 'qdim': 32, 'qvalues': [32, -32, -32, 32, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, 8, -8, 0, 0, 0, 0, -8, 8, -8, 8, 8, 8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, -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, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], '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: 32585204
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  • id: 32585246
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  • id: 32585257
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  • id: 32585268
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  • id: 32585279
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 240, 'label': '960.6254.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 32585290
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 240, 'label': '960.6254.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 32585301
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 240, 'label': '960.6254.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 32585312
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 240, 'label': '960.6254.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 32585323
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  • id: 32585205
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 192, 'label': '960.6254.1g2', 'nt': [5, 4], '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, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]]]}
  • id: 32585216
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 192, 'label': '960.6254.1g3', 'nt': [5, 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, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]]]}
  • id: 32585227
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 192, 'label': '960.6254.1g4', 'nt': [5, 4], '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, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]]]}
  • id: 32585238
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 96, 'label': '960.6254.1h1', 'nt': [10, 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, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]]]}
  • id: 32585240
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 96, 'label': '960.6254.1h2', 'nt': [10, 4], '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, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]]]}
  • id: 32585241
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 96, 'label': '960.6254.1h3', 'nt': [10, 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, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]]]}
  • id: 32585242
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  • id: 32585243
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 96, 'label': '960.6254.1i1', 'nt': [10, 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, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]]]}
  • id: 32585244
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  • id: 32585245
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  • id: 32585247
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 96, 'label': '960.6254.1i4', 'nt': [10, 4], '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, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]]]}
  • id: 32585248
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 96, 'label': '960.6254.1j1', 'nt': [10, 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, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]]]}
  • id: 32585249
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  • id: 32585250
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  • id: 32585251
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 96, 'label': '960.6254.1j4', 'nt': [10, 4], '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, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]]]}
  • id: 32585252
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 25, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 48, 'label': '960.6254.1k1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 8]], [[1, 2]], [[1, 6]], [[1, 4]], [[-1, 7]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[-1, 2]], [[-1, 8]], [[-1, 1]], [[-1, 4]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[1, 3]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 7]], [[1, 4]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 3]], [[1, 2]], [[-1, 3]], [[-1, 8]], [[-1, 9]], [[-1, 4]], [[1, 6]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 1]]]}
  • id: 32585253
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  • id: 32585254
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 27, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 48, 'label': '960.6254.1k3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 0]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 7]], [[-1, 3]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 6]], [[-1, 3]], [[1, 4]], [[-1, 7]], [[1, 1]], [[1, 8]], [[1, 2]], [[-1, 9]], [[1, 6]], [[1, 9]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[-1, 6]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 7]], [[-1, 8]], [[-1, 7]], [[1, 2]], [[-1, 1]], [[1, 6]], [[-1, 4]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 9]]]}
  • id: 32585255
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 28, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 48, 'label': '960.6254.1k4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 6]], [[-1, 6]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[1, 8]], [[1, 2]], [[1, 6]], [[1, 4]], [[1, 7]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[-1, 2]], [[-1, 8]], [[1, 1]], [[-1, 4]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 3]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 7]], [[1, 4]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[1, 6]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 2]], [[1, 3]], [[-1, 8]], [[1, 9]], [[-1, 4]], [[1, 6]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 1]]]}
  • id: 32585256
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 960, 'counter': 29, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 48, 'label': '960.6254.1k5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[1, 5]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 0]], [[1, 0]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[1, 6]], [[1, 4]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 9]], [[1, 1]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 4]], [[1, 6]], [[-1, 8]], [[-1, 2]], [[1, 1]], [[1, 8]], [[1, 9]], [[-1, 7]], [[-1, 6]], [[-1, 4]], [[1, 3]], [[1, 2]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 3]], [[-1, 7]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 6]], [[1, 9]], [[-1, 4]], [[1, 7]], [[1, 2]], [[-1, 8]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 3]]]}
  • id: 32585258
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  • id: 32585259
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  • id: 32585260
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  • id: 32585261
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  • id: 32585262
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  • id: 32585263
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  • id: 32585264
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  • id: 32585265
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  • id: 32585266
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  • id: 32585267
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  • id: 32585269
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  • id: 32585270
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  • id: 32585271
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  • id: 32585272
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  • id: 32585273
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  • id: 32585274
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  • id: 32585275
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  • id: 32585276
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  • id: 32585277
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  • id: 32585278
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 160, 'counter': 49, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1.a1', 'kernel_order': 16, 'label': '960.6254.2e1', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 2]], [[2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, -2]], [[2, -1]], [[-2, 2]], [[-2, 1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]]]}
  • id: 32585280
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  • id: 32585281
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  • id: 32585282
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  • id: 32585283
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  • id: 32585284
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  • id: 32585285
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  • id: 32585286
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  • id: 32585287
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  • id: 32585288
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  • id: 32585289
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  • id: 32585291
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  • id: 32585292
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  • id: 32585293
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  • id: 32585294
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  • id: 32585295
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  • id: 32585296
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  • id: 32585297
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  • id: 32585298
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  • id: 32585299
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  • id: 32585300
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  • id: 32585302
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  • id: 32585303
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  • id: 32585304
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  • id: 32585305
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  • id: 32585306
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  • id: 32585307
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  • id: 32585308
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  • id: 32585309
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  • id: 32585310
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  • id: 32585311
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  • id: 32585313
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 40, 'counter': 80, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6254.3i4', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -2]], [[3, -2]], [[3, 1]], [[3, -1]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, 2]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -2]], [[-3, 2]], [[-3, 2]], [[-3, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32585314
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  • id: 32585315
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 40, 'counter': 82, 'cyclotomic_n': 5, 'dim': 3, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '240.196', 'image_order': 240, 'indicator': 0, 'kernel': '240.a1.a1', 'kernel_order': 4, 'label': '960.6254.3j2', 'nt': [30, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[3, 2]], [[3, -1]], [[3, -2]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, 1]], [[3, 2]], [[3, -2]], [[3, 1]], [[3, 2]], [[3, -1]], [[3, -1]], [[3, 2]], [[3, -2]], [[3, -2]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[-3, 2]], [[-3, 2]], [[-3, -2]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32585316
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  • id: 32585317
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  • id: 32585318
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  • id: 32585319
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  • id: 32585320
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  • id: 32585321
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  • id: 32585322
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  • id: 32585324
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  • id: 32585325
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  • id: 32585326
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  • id: 32585327
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  • id: 32585328
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  • id: 32585329
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  • id: 32585330
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  • id: 32585331
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  • id: 32585332
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  • id: 32585333
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  • id: 32585206
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  • id: 32585207
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  • id: 32585208
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  • id: 32585209
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 103, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '96.190', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 10, 'label': '960.6254.4c1', 'nt': [16, 187], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]]]}
  • id: 32585210
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 104, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '96.190', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 10, 'label': '960.6254.4c2', 'nt': [16, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]]]}
  • id: 32585211
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 105, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '96.191', 'image_order': 96, 'indicator': -1, 'kernel': '96.a1.a1', 'kernel_order': 10, 'label': '960.6254.4d1', 'nt': [32, 412], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 32585212
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 106, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [-3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '96.191', 'image_order': 96, 'indicator': -1, 'kernel': '96.a1.a1', 'kernel_order': 10, 'label': '960.6254.4d2', 'nt': [32, 412], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[-4, 0]], [[4, 0]], [[4, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 32585213
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 107, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4e1', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -2]], [[4, 1]], [[4, 2]], [[4, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[-4, -1]], [[4, -2]], [[-4, 2]], [[-4, -1]], [[-4, -2]], [[-4, 1]], [[-4, 1]], [[-4, -2]], [[-4, 2]], [[4, 2]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32585214
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 108, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4e2', 'nt': [240, 4], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2]], [[4, -1]], [[4, -2]], [[4, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[4, 2]], [[-4, -2]], [[-4, 1]], [[-4, 2]], [[-4, -1]], [[-4, -1]], [[-4, 2]], [[-4, -2]], [[4, -2]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 32585215
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  • id: 32585217
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  • id: 32585218
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  • id: 32585219
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  • id: 32585220
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  • id: 32585221
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  • id: 32585222
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  • id: 32585223
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  • id: 32585224
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 117, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1018', 'image_order': 480, 'indicator': 0, 'kernel': '480.c1.a1', 'kernel_order': 2, 'label': '960.6254.4g3', 'nt': [80, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -6]], [[4, 3]], [[4, 6]], [[4, -3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, -3]], [[-4, -3]], [[-4, -6]], [[-4, 6]], [[4, -3]], [[-4, -6]], [[-4, 3]], [[4, 3]], [[4, -6]], [[4, 6]], [[-4, 6]], [[-4, 3]], [[1, 0], [2, 5]], [[1, 0], [2, 5]], [[-1, 0], [-2, 5]], [[-1, 0], [-2, 5]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[1, 6]], [[-1, -6]], [[-1, -3]], [[1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-2, 1], [-1, 6]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-1, 2], [1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[-2, 1], [-1, 6]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[-1, 2], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[2, 1], [1, 6]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[2, 1], [1, 6]], [[1, 2], [-1, 7]]]}
  • id: 32585225
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 118, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1018', 'image_order': 480, 'indicator': 0, 'kernel': '480.c1.a1', 'kernel_order': 2, 'label': '960.6254.4g4', 'nt': [80, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[4, -3]], [[4, -6]], [[4, 3]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3]], [[-4, 3]], [[-4, 6]], [[-4, -6]], [[4, 3]], [[-4, 6]], [[-4, -3]], [[4, -3]], [[4, 6]], [[4, -6]], [[-4, -6]], [[-4, -3]], [[-1, 0], [-2, 5]], [[-1, 0], [-2, 5]], [[1, 0], [2, 5]], [[1, 0], [2, 5]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[1, -6]], [[-1, 6]], [[-1, 3]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[2, 1], [1, 6]], [[-2, 1], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[1, 2], [-1, 7]], [[-2, 1], [-1, 6]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[-1, 2], [1, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-1, 2], [1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[2, 1], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[1, 2], [-1, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]]]}
  • id: 32585226
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 119, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1018', 'image_order': 480, 'indicator': 0, 'kernel': '480.c1.a1', 'kernel_order': 2, 'label': '960.6254.4g5', 'nt': [80, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -3]], [[4, -6]], [[4, 3]], [[4, 6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[-4, 6]], [[-4, -3]], [[-4, 3]], [[4, 6]], [[-4, -3]], [[-4, -6]], [[4, -6]], [[4, -3]], [[4, 3]], [[-4, 3]], [[-4, -6]], [[-1, 0], [-2, 5]], [[-1, 0], [-2, 5]], [[1, 0], [2, 5]], [[1, 0], [2, 5]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 6]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [1, 6]], [[-1, 2], [1, 7]], [[1, 2], [-1, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[1, 2], [-1, 7]], [[-2, 1], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-2, 1], [-1, 6]], [[-1, 2], [1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[2, 1], [1, 6]]]}
  • id: 32585228
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 120, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1018', 'image_order': 480, 'indicator': 0, 'kernel': '480.c1.a1', 'kernel_order': 2, 'label': '960.6254.4g6', 'nt': [80, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3]], [[4, 6]], [[4, -3]], [[4, -6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, -6]], [[-4, -6]], [[-4, 3]], [[-4, -3]], [[4, -6]], [[-4, 3]], [[-4, 6]], [[4, 6]], [[4, 3]], [[4, -3]], [[-4, -3]], [[-4, 6]], [[1, 0], [2, 5]], [[1, 0], [2, 5]], [[-1, 0], [-2, 5]], [[-1, 0], [-2, 5]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[1, -3]], [[-1, 3]], [[-1, -6]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[1, 2], [-1, 7]], [[2, 1], [1, 6]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-2, 1], [-1, 6]], [[1, 2], [-1, 7]], [[-2, 1], [-1, 6]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[-1, 2], [1, 7]], [[2, 1], [1, 6]], [[-1, 2], [1, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]]]}
  • id: 32585229
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 121, 'cyclotomic_n': 15, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1018', 'image_order': 480, 'indicator': 0, 'kernel': '480.c1.a1', 'kernel_order': 2, 'label': '960.6254.4g7', 'nt': [80, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -3]], [[4, -6]], [[4, 3]], [[4, 6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[-4, 6]], [[-4, -3]], [[-4, 3]], [[4, 6]], [[-4, -3]], [[-4, -6]], [[4, -6]], [[4, -3]], [[4, 3]], [[-4, 3]], [[-4, -6]], [[1, 0], [2, 5]], [[1, 0], [2, 5]], [[-1, 0], [-2, 5]], [[-1, 0], [-2, 5]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, 3]], [[-1, -3]], [[-1, 6]], [[1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 6]], [[1, 2], [-1, 7]], [[-1, 2], [1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[-1, 2], [1, 7]], [[2, 1], [1, 6]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[-2, 0], [2, 1], [-1, 3], [2, 4], [-2, 5], [2, 7]], [[1, 0], [-1, 2], [1, 3], [-2, 4], [1, 6], [-1, 7]], [[2, 1], [1, 6]], [[1, 2], [-1, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[-1, 0], [1, 2], [-1, 3], [2, 4], [-1, 6], [1, 7]], [[2, 0], [-2, 1], [1, 3], [-2, 4], [2, 5], [-2, 7]], [[-2, 1], [-1, 6]]]}
  • id: 32585230
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  • id: 32585231
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 123, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4h1', 'nt': [160, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 12]], [[4, 24]], [[-4, 18]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 18]], [[4, 18]], [[-4, 6]], [[-4, 24]], [[4, 18]], [[4, 6]], [[-4, 12]], [[-4, 12]], [[4, 6]], [[-4, 24]], [[4, 24]], [[4, 12]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 18]], [[1, 24]], [[1, 12]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 12]], [[-1, 12]], [[1, 18]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[1, 12]], [[-1, 6]], [[-1, 24]], [[1, 6]], [[1, 18]], [[1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 3], [-2, 13]]]}
  • id: 32585232
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 124, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4h2', 'nt': [160, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 18]], [[-4, 6]], [[4, 12]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 12]], [[4, 24]], [[4, 6]], [[-4, 12]], [[-4, 24]], [[4, 18]], [[4, 18]], [[-4, 24]], [[4, 6]], [[-4, 6]], [[-4, 18]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 12]], [[-1, 6]], [[-1, 18]], [[1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 18]], [[1, 24]], [[1, 6]], [[-1, 24]], [[-1, 12]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 3], [-2, 13]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]]]}
  • id: 32585233
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  • id: 32585234
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  • id: 32585235
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  • id: 32585236
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 128, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4h6', 'nt': [160, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[4, 24]], [[-4, 18]], [[-4, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 6]], [[4, 12]], [[4, 18]], [[4, 6]], [[-4, 12]], [[-4, 24]], [[-4, 24]], [[-4, 12]], [[4, 18]], [[-4, 18]], [[4, 24]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 6]], [[-1, 18]], [[1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[1, 24]], [[1, 12]], [[1, 18]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 11]]]}
  • id: 32585237
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 129, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4h7', 'nt': [160, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 18]], [[-4, 6]], [[4, 12]], [[4, 24]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 24]], [[-4, 24]], [[-4, 18]], [[-4, 12]], [[-4, 24]], [[4, 18]], [[4, 6]], [[4, 6]], [[4, 18]], [[-4, 12]], [[4, 12]], [[-4, 6]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 24]], [[1, 12]], [[-1, 6]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 24]], [[1, 12]], [[1, 24]], [[-1, 12]], [[-1, 6]], [[-1, 18]], [[-1, 12]], [[1, 18]], [[-1, 24]], [[1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 3], [2, 13]], [[1, 3], [-2, 13]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[1, 3], [-2, 13]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]]]}
  • id: 32585239
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 20, 'counter': 130, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.6254', 'group_counter': 6254, 'group_order': 960, 'image': None, 'image_isoclass': '480.1019', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 2, 'label': '960.6254.4h8', 'nt': [160, 8], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[4, 24]], [[-4, 18]], [[-4, 6]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6]], [[4, 6]], [[4, 12]], [[4, 18]], [[4, 6]], [[-4, 12]], [[-4, 24]], [[-4, 24]], [[-4, 12]], [[4, 18]], [[-4, 18]], [[4, 24]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 6]], [[-1, 18]], [[1, 24]], [[1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[1, 24]], [[1, 12]], [[1, 18]], [[-1, 12]], [[1, 6]], [[-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 11]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[-1, 3], [2, 13]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 1], [1, 3], [-2, 7], [-1, 9], [-1, 11], [1, 15]], [[1, 1], [1, 11]], [[-2, 1], [2, 5], [2, 7], [1, 9], [-2, 13], [-2, 15]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [2, 7], [1, 9], [1, 11], [-1, 15]], [[1, 3], [-2, 13]], [[2, 1], [-2, 5], [-2, 7], [-1, 9], [2, 13], [2, 15]], [[-1, 3], [2, 13]], [[1, 1], [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: 114021658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.6254.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '960.6254', 'subgroup_hash': 6254, 'subgroup_order': 960, 'subgroup_tex': 'C_2.(C_{20}\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 114021704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, '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': '480.655', 'subgroup_hash': 655, 'subgroup_order': 480, 'subgroup_tex': 'C_{20}\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, '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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.1016', 'subgroup_hash': 1016, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_{10}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.256', 'subgroup_hash': 256, 'subgroup_order': 480, 'subgroup_tex': '\\SL(2,3):C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 114021737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 160, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '960.6254.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.942', 'subgroup_hash': 942, 'subgroup_order': 320, 'subgroup_tex': 'Q_{16}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 240, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '240.153', 'subgroup_hash': 153, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 240, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.102', 'subgroup_hash': 102, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.102', 'subgroup_hash': 102, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.4.c1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.57', 'subgroup_hash': 57, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': True, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '960.6254.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.947', 'subgroup_hash': 947, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 160, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.180', 'subgroup_hash': 180, 'subgroup_order': 160, 'subgroup_tex': 'Q_8\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.180', 'subgroup_hash': 180, 'subgroup_order': 160, 'subgroup_tex': 'Q_8\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.47', 'subgroup_hash': 47, 'subgroup_order': 160, 'subgroup_tex': 'C_8:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '160.53', 'subgroup_hash': 53, 'subgroup_order': 160, 'subgroup_tex': 'Q_8:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '160.56', 'subgroup_hash': 56, 'subgroup_order': 160, 'subgroup_tex': 'C_8:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '160.195', 'subgroup_hash': 195, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 80, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '160.53', 'subgroup_hash': 53, 'subgroup_order': 160, 'subgroup_tex': 'Q_8:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 120, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.15', 'subgroup_hash': 15, 'subgroup_order': 120, 'subgroup_tex': 'C_5\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 114021705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.8.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': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.8.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': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.69', 'subgroup_hash': 69, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.188', 'subgroup_hash': 188, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.66', 'subgroup_hash': 66, 'subgroup_order': 96, 'subgroup_tex': '\\SL(2,3):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 80, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021711
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 20, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114021718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114021719
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 40, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.12.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.27', 'subgroup_hash': 27, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 32, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.6254.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.122', 'subgroup_hash': 122, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 114021725
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 114021727
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021728
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021729
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 114021730
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.16.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': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 48, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': 32, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 48, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': 28, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 48, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.20.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': 28, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 114021734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.12', 'subgroup_hash': 12, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021735
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.24.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': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 40, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021738
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021740
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021745
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.24.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': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114021746
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 58, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.24.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 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': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114021747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 10, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021749
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 114021750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 32, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 16, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.30.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021757
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 114021758
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 114021760
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 114021761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 24, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': 3, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 114021762
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 8, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': 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: 114021763
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': 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: 114021764
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': 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: 114021765
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 20, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.48.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': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021766
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021767
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021768
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021769
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021771
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021772
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021773
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 114021774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 114021775
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': 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: 114021776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': 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: 114021779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 114021780
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021782
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021783
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': 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: 114021784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 8, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.60.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 114021788
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 15, 'label': '960.6254.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 114021789
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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: 114021790
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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: 114021791
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.80.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': 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: 114021660
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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: 114021661
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.80.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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: 114021662
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.191', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 191, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4.S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021663
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021664
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 190, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,3):C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 114021665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 114021666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 8, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.22', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['D2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021667
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021668
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021669
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021671
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021675
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.120.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021676
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.120.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.6254.120.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 114021678
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.120.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 114021679
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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: 114021680
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.160.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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: 114021682
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.160.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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: 114021683
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 5, 'counter': 121, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '960.6254.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.947', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 947, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_4).S_4', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 114021684
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.6254.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{10}\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 114021685
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021686
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021687
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021688
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021689
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': 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: 114021690
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021691
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.6254.240.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 114021693
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '960.6254.320.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 114021694
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 131, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.1019', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1019, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{20}.S_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114021695
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 132, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.480.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.1014', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1014, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{20}\\times S_4', 'simple': True, 'solvable': True, 'special_labels': ['D3'], '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: 114021696
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 133, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.6254.480.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.1018', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1018, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\GL(2,3):C_{10}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 114021697
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.6254', 'ambient_counter': 6254, 'ambient_order': 960, 'ambient_tex': 'C_2.(C_{20}\\times S_4)', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 134, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.6254.960.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '960.6254', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6254, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2.(C_{20}\\times S_4)', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D4', '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: 114021766
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1'], 'contains': ['96.a1.a1', '240.b1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3792, -1, 2891, -1, 4435, -1, 3482, -1], 'generators': [30, 492, 192], 'label': '960.6254.48.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.b1.a1', 'projective_image': '96.191', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021691
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '80.d1.a1', '120.f1.a1'], 'contains': ['480.c1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1582, -1, 1430, -1, 1864, -1, 1693, -1], 'generators': [3], 'label': '960.6254.240.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '240.g1.a1', 'projective_image': '480.1018', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021658
    {'ambient': '960.6254', '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': '48.a1.a1', 'complements': ['960.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '3.a1.a1', '4.c1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4177, 4999, 5927, 4586, 3267, 5528, 3261, 5166], 'generators': [1, 8, 720, 192, 24, 480, 6, 12], 'label': '960.6254.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.c1.a1', '2.b1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '48.48', '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': '48.48'}
  • id: 114021659
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20162', 'aut_weyl_index': 4, 'centralizer': '48.a1.a1', 'complements': ['192.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.c1.a1', '15.a1.a1', '20.c1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4504, 4221, 5860, 4013, 3044, 6420, 3063, 4396], 'generators': [1, 720, 24, 6, 480, 12, 8], 'label': '960.6254.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.c1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '240.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021660
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.b1.a1'], 'contains': ['160.c1.a1', '240.f1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [89, -1, 296, -1, 896, -1, 748, -1], 'generators': [6, 8, 12], 'label': '960.6254.80.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '80.c1.a1', 'projective_image': '480.1018', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021661
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 128, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '40.d1.a1'], 'contains': ['160.c1.a1', '240.g1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [319, -1, 1151, -1, 1202, -1, 1078, -1], 'generators': [3, 12, 8], 'label': '960.6254.80.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '80.d1.a1', 'projective_image': '480.1018', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 114021662
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '96.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1'], 'contains': ['192.a1.a1', '480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2631, 3082, 991, 8712, 3092, 2994, 2837, 8543], 'generators': [492, 192], 'label': '960.6254.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['48.a1.a1'], 'normal_contains': ['192.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '96.191', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.191', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021663
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.c1.a1', '48.d1.a1', '48.e1.a1', '48.e1.b1'], 'contains': ['192.a1.a1', '480.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3706, 5337, 3213, 6005, 4751, 4683, 4560, 6407], 'generators': [480, 192], 'label': '960.6254.96.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['24.b1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '96.186', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.186', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021664
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.f1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '480.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1394, 4409, 610, 7885, 2056, 3839, 1864, 7814], 'generators': [12, 192], 'label': '960.6254.96.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['48.a1.a1'], 'normal_contains': ['192.a1.a1', '480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': '96.190', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.190', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021665
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.b1.a1', '60.b1.a1', '60.c1.a1'], 'contains': ['240.a1.a1', '240.f1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2113, 1534, 1703, 8487, 2682, 1612, 2417, 7210], 'generators': [6, 480], 'label': '960.6254.120.a1.a1', 'mobius_quo': 0, 'mobius_sub': 12, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '30.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '240.196', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.9', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021666
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 64, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.a1.a1', '60.a1.a1', '60.k1.a1', '60.k1.b1'], 'contains': ['240.c1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8610, 6244, 9351, 5169, 6193, 5269, 6637, 5513], 'generators': [24, 720], 'label': '960.6254.120.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.a1.a1', '60.a1.a1'], 'normal_contains': ['480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021667
    {'ambient': '960.6254', 'aut_centralizer_order': 256, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '60.a1.a1', '60.b1.a1', '60.d1.a1', '60.e1.a1', '60.f1.a1', '60.g1.a1', '60.h1.a1'], 'contains': ['240.a1.a1', '240.c1.a1', '240.d1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6321, -1, 5868, -1, 6453, -1, 6204, -1], 'generators': [12, 24], 'label': '960.6254.120.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021668
    {'ambient': '960.6254', 'aut_centralizer_order': 128, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '60.b1.a1', '60.d1.a1', '60.i1.a1'], 'contains': ['240.a1.a1', '240.b1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4766, -1, 3876, -1, 4797, -1, 4483, -1], 'generators': [30, 480], 'label': '960.6254.120.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.d1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021669
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.c1.a1', '60.c1.a1', '60.e1.a1', '60.i1.a1'], 'contains': ['240.a1.a1', '240.e1.a1', '240.e1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4379, -1, 4884, -1, 4166, -1, 4194, -1], 'generators': [1, 12], 'label': '960.6254.120.e1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '120.e1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021670
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20048', 'aut_weyl_index': 4, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.d1.a1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6219, 1839, 4543, 8336, 5427, 701, 5365, 9396], 'generators': [6, 480, 720, 192, 24, 12], 'label': '960.6254.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '24.a1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021671
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.d1.a1', '60.c1.a1', '60.f1.a1', '60.i1.a1'], 'contains': ['240.a1.a1', '240.g1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3033, -1, 2403, -1, 3010, -1, 2707, -1], 'generators': [3, 480], 'label': '960.6254.120.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '120.f1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021672
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '60.a1.a1', '60.j1.a1', '60.j1.b1'], 'contains': ['240.c1.a1', '240.d1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8827, -1, 8149, -1, 8146, -1, 7798, -1], 'generators': [732, 24], 'label': '960.6254.120.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.g1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021673
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '60.e1.a1', '60.j1.a1', '60.k1.a1'], 'contains': ['240.c1.a1', '240.e1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8294, -1, 6898, -1, 7438, -1, 7095, -1], 'generators': [1, 24], 'label': '960.6254.120.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.h1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021674
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '60.e1.a1', '60.j1.b1', '60.k1.b1'], 'contains': ['240.c1.a1', '240.e1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8294, -1, 8979, -1, 7438, -1, 7306, -1], 'generators': [5, 720], 'label': '960.6254.120.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.h1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021675
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '60.g1.a1', '60.j1.b1', '60.k1.a1'], 'contains': ['240.c1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9311, -1, 8686, -1, 7972, -1, 8579, -1], 'generators': [721], 'label': '960.6254.120.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.i1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021676
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.b1', '60.g1.a1', '60.j1.a1', '60.k1.b1'], 'contains': ['240.c1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9311, -1, 9681, -1, 7972, -1, 8339, -1], 'generators': [29], 'label': '960.6254.120.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '120.i1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021677
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 192, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '60.e1.a1'], 'contains': ['240.d1.a1', '240.e1.a1', '240.e1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5455, -1, 6094, -1, 6915, -1, 5621, -1], 'generators': [1, 36], 'label': '960.6254.120.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '120.j1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021678
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 384, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '60.h1.a1'], 'contains': ['240.d1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7762, -1, 6692, -1, 8447, -1, 8869, -1], 'generators': [723], 'label': '960.6254.120.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '120.k1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021679
    {'ambient': '960.6254', 'aut_centralizer_order': 192, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1'], 'contains': ['320.a1.a1', '480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1011, -1, 993, -1, 2538, -1, 2307, -1], 'generators': [492, 8], 'label': '960.6254.160.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '160.a1.a1', 'projective_image': '480.1019', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021680
    {'ambient': '960.6254', 'aut_centralizer_order': 192, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '40.a1.a1', '80.a1.a1', '80.b1.a1', '80.b1.b1'], 'contains': ['320.a1.a1', '480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2477, -1, 3348, -1, 3308, -1, 3050, -1], 'generators': [480, 8], 'label': '960.6254.160.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '160.b1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021681
    {'ambient': '960.6254', 'aut_centralizer_order': 2, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.55630', 'aut_weyl_index': 6, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.b1.a1', '12.c1.a1', '12.e1.a1', '12.f1.a1', '12.i1.a1', '30.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3729, -1, 3522, -1, 4866, -1, 3955, -1], 'generators': [1, 480, 24, 192, 6, 12], 'label': '960.6254.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '48.48', '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': '8.3'}
  • id: 114021682
    {'ambient': '960.6254', 'aut_centralizer_order': 192, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '80.a1.a1', '80.c1.a1', '80.d1.a1'], 'contains': ['320.a1.a1', '480.c1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [436, -1, 728, -1, 1681, -1, 1335, -1], 'generators': [12, 8], 'label': '960.6254.160.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '160.c1.a1', 'projective_image': '480.1018', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021683
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'contains': ['960.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1680, 4726, 484, 7490, 2865, 3877, 2631, 7757], 'generators': [192], 'label': '960.6254.192.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '192.947', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.947', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021684
    {'ambient': '960.6254', 'aut_centralizer_order': 1536, 'aut_label': '240.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.c1.a1', '120.d1.a1', '120.e1.a1', '120.f1.a1'], 'contains': ['480.a1.a1', '480.b1.a1', '480.c1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3247, 3504, 2183, 8299, 3525, 2179, 3214, 7111], 'generators': [12, 480], 'label': '960.6254.240.a1.a1', 'mobius_quo': 2, 'mobius_sub': -24, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '60.a1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1', '480.b1.a1', '480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '240.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.196', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021685
    {'ambient': '960.6254', 'aut_centralizer_order': 128, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '120.d1.a1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4157, -1, 3146, -1, 4435, -1, 3482, -1], 'generators': [30], 'label': '960.6254.240.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '240.b1.a1', 'projective_image': '480.1019', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021686
    {'ambient': '960.6254', 'aut_centralizer_order': 256, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '120.b1.a1', '120.c1.a1', '120.g1.a1', '120.h1.a1', '120.h1.b1', '120.i1.a1', '120.i1.b1'], 'contains': ['480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8610, -1, 8686, -1, 6723, -1, 7306, -1], 'generators': [24], 'label': '960.6254.240.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '240.c1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021687
    {'ambient': '960.6254', 'aut_centralizer_order': 256, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '120.c1.a1', '120.g1.a1', '120.j1.a1', '120.k1.a1'], 'contains': ['480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6204, -1, 5486, -1, 7012, -1, 6494, -1], 'generators': [36], 'label': '960.6254.240.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '240.d1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021688
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '80.b1.a1', '120.e1.a1', '120.h1.a1', '120.j1.a1'], 'contains': ['480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4952, -1, 4762, -1, 5004, -1, 4731, -1], 'generators': [1], 'label': '960.6254.240.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '240.e1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021689
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.b1', '80.b1.b1', '120.e1.a1', '120.h1.b1', '120.j1.a1'], 'contains': ['480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4952, -1, 6196, -1, 5004, -1, 4892, -1], 'generators': [5], 'label': '960.6254.240.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '240.e1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021690
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '80.c1.a1', '120.a1.a1'], 'contains': ['480.c1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [441, -1, 312, -1, 1488, -1, 1523, -1], 'generators': [6], 'label': '960.6254.240.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.f1.a1', 'projective_image': '480.1018', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021692
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 12, 'centralizer': '24.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.b1.a1', '12.g1.a1', '12.h1.a1', '30.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8610, -1, 7854, -1, 8625, -1, 8435, -1], 'generators': [721, 480, 192, 12, 6, 504], 'label': '960.6254.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '48.48', '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': '8.5'}
  • id: 114021693
    {'ambient': '960.6254', 'aut_centralizer_order': 192, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '160.a1.a1', '160.b1.a1', '160.c1.a1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1011, -1, 649, -1, 2538, -1, 2307, -1], 'generators': [8], 'label': '960.6254.320.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '320.a1.a1', 'projective_image': '960.6254', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021694
    {'ambient': '960.6254', 'aut_centralizer_order': 1536, 'aut_label': '480.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.a1'], 'contains': ['960.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2715, 3387, 1182, 8957, 3092, 2495, 2837, 8353], 'generators': [492], 'label': '960.6254.480.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '240.a1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '480.1019', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1019', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021695
    {'ambient': '960.6254', 'aut_centralizer_order': 1536, 'aut_label': '480.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '160.b1.a1', '240.a1.a1', '240.c1.a1', '240.d1.a1', '240.e1.a1', '240.e1.b1'], 'contains': ['960.a1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3706, 5327, 3958, 6673, 4751, 4645, 4645, 6515], 'generators': [480], 'label': '960.6254.480.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1.a1', 'normal_contained_in': ['96.b1.a1', '120.b1.a1', '240.a1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.b1.a1', 'projective_image': '480.1014', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1014', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021696
    {'ambient': '960.6254', 'aut_centralizer_order': 1536, 'aut_label': '480.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '160.c1.a1', '240.a1.a1', '240.f1.a1', '240.g1.a1'], 'contains': ['960.a1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1414, 4147, 851, 8280, 1960, 3186, 1778, 7161], 'generators': [12], 'label': '960.6254.480.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.c1.a1', 'normal_contained_in': ['96.c1.a1', '240.a1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.c1.a1', 'projective_image': '480.1018', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.1018', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021697
    {'ambient': '960.6254', 'aut_centralizer_order': None, 'aut_label': '960.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': ['192.a1.a1', '320.a1.a1', '480.a1.a1', '480.b1.a1', '480.c1.a1'], 'contains': [], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1723, 4442, 851, 7997, 2865, 3532, 2631, 7459], 'generators': [], 'label': '960.6254.960.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1.a1', 'normal_contained_in': ['192.a1.a1', '480.a1.a1', '480.b1.a1', '480.c1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '960.a1.a1', 'projective_image': '960.6254', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021698
    {'ambient': '960.6254', 'aut_centralizer_order': 2, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.55630', 'aut_weyl_index': 6, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.d1.a1', '12.e1.a1', '12.h1.a1', '30.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7458, -1, 5674, -1, 7202, -1, 6684, -1], 'generators': [1, 480, 192, 492, 726, 504], 'label': '960.6254.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '48.48', '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': '16.11'}
  • id: 114021699
    {'ambient': '960.6254', 'aut_centralizer_order': 2, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.55630', 'aut_weyl_index': 6, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['12.d1.a1', '12.f1.a1', '12.g1.a1', '30.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7978, -1, 5290, -1, 6277, -1, 5719, -1], 'generators': [721, 480, 192, 492, 726, 504], 'label': '960.6254.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '48.48', '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': '16.11'}
  • id: 114021700
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 12, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.e1.a1', '12.g1.a1', '12.j1.a1', '12.j1.b1', '12.k1.a1', '12.k1.b1', '30.f1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9276, -1, 8836, -1, 7727, -1, 7546, -1], 'generators': [1, 480, 720, 192, 12, 24], 'label': '960.6254.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '48.48', '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': '16.11'}
  • id: 114021701
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 12, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '12.h1.a1', '30.g1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7032, -1, 8447, -1, 6679, -1, 6328, -1], 'generators': [3, 480, 192, 12, 720, 744], 'label': '960.6254.6.g1.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.g1.a1', 'projective_image': '48.48', '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': '16.11'}
  • id: 114021702
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['24.b1.a1', '32.b1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5585, 8667, 7033, 1391, 3838, 6852, 3657, 2144], 'generators': [8, 504, 720, 192, 480], 'label': '960.6254.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'normal_contains': ['24.b1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021703
    {'ambient': '960.6254', 'aut_centralizer_order': 12, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 48, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '24.a1.a1', '40.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1175, -1, 1314, -1, 479, -1, 605, -1], 'generators': [6, 8, 192, 480, 12], 'label': '960.6254.8.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.b1.a1', 'projective_image': '48.48', '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': '2.1'}
  • id: 114021704
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20048', 'aut_weyl_index': 4, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '8.b1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4481, 2818, 4154, 7471, 2601, 2351, 2671, 7906], 'generators': [6, 720, 192, 12, 8, 480, 504], 'label': '960.6254.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '48.48', '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': '24.12'}
  • id: 114021705
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 16, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '24.e1.a1', '40.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3110, -1, 3922, -1, 1873, -1, 2273, -1], 'generators': [1, 192, 480, 12, 8], 'label': '960.6254.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.c1.a1', 'projective_image': '48.48', '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': '12.4'}
  • id: 114021706
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.206', 'aut_weyl_index': 16, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '24.f1.a1', '40.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1940, -1, 1771, -1, 1002, -1, 1067, -1], 'generators': [3, 192, 12, 480, 8], 'label': '960.6254.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '8.d1.a1', 'projective_image': '48.48', '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': '12.4'}
  • id: 114021707
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '30.a1.a1', '40.b1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4504, 3525, 4609, 6447, 2610, 2495, 2560, 7848], 'generators': [6, 480, 720, 8, 12, 744], 'label': '960.6254.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021708
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 16, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.b1.b1', '30.f1.a1', '40.c1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5564, 7539, 6490, 3214, 4004, 7697, 4307, 3361], 'generators': [1, 480, 720, 12, 8, 24], 'label': '960.6254.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.a1', '20.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021728
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.35', 'aut_weyl_index': 32, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '8.c1.a1'], 'contains': ['32.b1.a1', '48.e1.b1', '80.b1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3370, -1, 4258, -1, 3571, -1, 3514, -1], 'generators': [5, 480, 8, 192], 'label': '960.6254.16.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.b1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021709
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 16, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '30.g1.a1', '40.d1.a1'], 'core': '10.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4089, 5243, 6798, 4548, 3003, 6334, 3071, 4536], 'generators': [3, 480, 720, 12, 8, 744], 'label': '960.6254.10.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1.a1', 'normal_contained_in': ['2.c1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021710
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.g1.a1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7148, 4600, 9485, 7378, 6807, 3052, 7022, 6507], 'generators': [12, 720, 192, 24, 480], 'label': '960.6254.12.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.b1.a1', '48.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '48.48', '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': '24.12'}
  • id: 114021711
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 48, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '24.d1.a1', '60.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5013, -1, 2855, -1, 4505, -1, 4345, -1], 'generators': [6, 192, 12, 24, 480], 'label': '960.6254.12.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021712
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.260', 'aut_weyl_index': 24, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '24.f1.a1', '60.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2638, -1, 2414, -1, 2398, -1, 1808, -1], 'generators': [1, 192, 12, 6, 480], 'label': '960.6254.12.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.c1.a1', 'projective_image': '48.48', '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': '4.2'}
  • id: 114021713
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.c1.a1', '24.d1.a1', '60.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6436, -1, 5138, -1, 5964, -1, 5732, -1], 'generators': [726, 192, 492, 24, 480], 'label': '960.6254.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '48.48', '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': '8.3'}
  • id: 114021714
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.h1.a1', '24.h1.b1', '24.j1.a1', '60.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6013, -1, 5499, -1, 7202, -1, 6673, -1], 'generators': [1, 24, 192, 12, 480], 'label': '960.6254.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '48.48', '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': '8.3'}
  • id: 114021715
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20048', 'aut_weyl_index': 4, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '6.f1.a1', '8.c1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5147, 8003, 6244, 2838, 4012, 7985, 4307, 3046], 'generators': [1, 720, 192, 8, 12, 480, 24], 'label': '960.6254.2.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.b1.a1', '4.b1.b1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021716
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.c1.a1', '24.f1.a1', '60.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4206, -1, 4695, -1, 5562, -1, 5376, -1], 'generators': [3, 192, 12, 744, 480], 'label': '960.6254.12.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '48.48', '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': '8.3'}
  • id: 114021717
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 48, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.c1.a1', '24.i1.a1', '24.i1.b1', '60.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9911, -1, 8251, -1, 9037, -1, 9148, -1], 'generators': [721, 192, 504, 12, 480], 'label': '960.6254.12.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '48.48', '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': '4.2'}
  • id: 114021718
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.45', 'aut_weyl_index': 48, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.c1.a1', '24.k1.a1', '60.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7565, -1, 5938, -1, 9429, -1, 9495, -1], 'generators': [723, 192, 756, 744, 480], 'label': '960.6254.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '48.48', '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': '4.2'}
  • id: 114021719
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.260', 'aut_weyl_index': 24, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1'], 'contains': ['24.d1.a1', '24.e1.a1', '24.f1.a1', '60.i1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3663, -1, 3376, -1, 2887, -1, 2816, -1], 'generators': [1, 192, 492, 30, 480], 'label': '960.6254.12.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.i1.a1', 'projective_image': '48.48', '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': '2.1'}
  • id: 114021720
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1'], 'contains': ['24.g1.a1', '24.h1.a1', '24.i1.b1', '60.j1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9395, -1, 8691, -1, 9824, -1, 8799, -1], 'generators': [1, 192, 24, 732, 480], 'label': '960.6254.12.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021721
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1'], 'contains': ['24.g1.a1', '24.h1.b1', '24.i1.a1', '60.j1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9395, -1, 7896, -1, 9824, -1, 9844, -1], 'generators': [721, 192, 504, 732, 480], 'label': '960.6254.12.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021722
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.h1.a1', '24.i1.a1', '60.k1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8977, -1, 9130, -1, 8213, -1, 7721, -1], 'generators': [1, 192, 24, 720, 480], 'label': '960.6254.12.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.k1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021723
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.196', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.h1.b1', '24.i1.b1', '60.k1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8977, -1, 9924, -1, 8213, -1, 8070, -1], 'generators': [5, 192, 720, 24, 480], 'label': '960.6254.12.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.k1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021724
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 12, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.a1', '30.c1.a1', '30.d1.a1', '30.e1.a1', '30.f1.a1', '30.g1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8205, -1, 7569, -1, 5933, -1, 6023, -1], 'generators': [1, 6, 720], 'label': '960.6254.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021725
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1', '80.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1884, -1, 1493, -1, 1582, -1, 1399, -1], 'generators': [12, 8, 192, 480], 'label': '960.6254.16.a1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.a1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021726
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20048', 'aut_weyl_index': 4, 'centralizer': '48.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.g1.a1', '8.d1.a1', '10.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3874, 5726, 6713, 5235, 3491, 4635, 3459, 5935], 'generators': [3, 720, 12, 8, 192, 480, 744], 'label': '960.6254.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '10.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021727
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.35', 'aut_weyl_index': 32, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '8.c1.a1'], 'contains': ['32.b1.a1', '48.e1.a1', '80.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3370, -1, 3485, -1, 3571, -1, 3080, -1], 'generators': [1, 480, 8, 192], 'label': '960.6254.16.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.b1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021729
    {'ambient': '960.6254', 'aut_centralizer_order': 12, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.c1.a1', '48.f1.a1', '80.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [168, -1, 322, -1, 84, -1, 75, -1], 'generators': [6, 192, 12, 8], 'label': '960.6254.16.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '16.c1.a1', 'projective_image': '96.190', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021730
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.35', 'aut_weyl_index': 32, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.c1.a1', '48.g1.a1', '80.d1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1032, -1, 871, -1, 390, -1, 345, -1], 'generators': [3, 12, 8, 192], 'label': '960.6254.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '16.d1.a1', 'projective_image': '96.190', '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': '6.1'}
  • id: 114021731
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '20.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 64, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.c1.a1'], 'contains': ['40.a1.a1', '60.a1.a1', '80.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4624, 6465, 6268, 4915, 3335, 4847, 3212, 4851], 'generators': [12, 480, 8, 744, 720], 'label': '960.6254.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.c1.a1', '10.b1.a1'], 'normal_contains': ['40.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021732
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 32, 'centralizer': '48.a1.a1', 'complements': ['48.f1.a1', '48.b1.a1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.b1.a1'], 'contains': ['40.a1.a1', '60.k1.a1', '80.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5589, 9236, 5942, 2838, 4199, 8292, 4616, 3386], 'generators': [1, 480, 8, 24, 720], 'label': '960.6254.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.b1.a1'], 'normal_contains': ['40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '480.1014', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021733
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 32, 'centralizer': '48.a1.a1', 'complements': ['48.f1.a1', '48.b1.a1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '10.b1.a1'], 'contains': ['40.a1.a1', '60.k1.b1', '80.b1.b1'], 'core': '20.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5589, 9236, 7587, 1287, 4199, 8292, 4809, 902], 'generators': [5, 480, 8, 504, 720], 'label': '960.6254.20.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': ['4.b1.b1', '10.b1.a1'], 'normal_contains': ['40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.b1', 'projective_image': '480.1014', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021734
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.230', 'aut_weyl_index': 16, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '5.a1.a1'], 'contains': ['40.b1.a1', '40.c1.a1', '40.d1.a1', '60.c1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1280, -1, 2453, -1, 1346, -1, 1372, -1], 'generators': [1, 8, 6, 12, 480], 'label': '960.6254.20.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '20.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021735
    {'ambient': '960.6254', 'aut_centralizer_order': 96, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2207, 764, 1436, 9304, 1974, 701, 1747, 8452], 'generators': [6, 192, 12, 480], 'label': '960.6254.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': -12, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['48.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '48.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.3', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021736
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.k1.a1', '12.k1.b1'], 'contains': ['48.c1.a1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8623, 6338, 9696, 5103, 6193, 4990, 7033, 5372], 'generators': [24, 192, 480, 720], 'label': '960.6254.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['96.b1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '96.186', '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': '24.12'}
  • id: 114021737
    {'ambient': '960.6254', 'aut_centralizer_order': 1, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.10493066', 'aut_weyl_index': 3, 'centralizer': '48.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', '15.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7458, -1, 7080, -1, 6277, -1, 6023, -1], 'generators': [1, 24, 720, 192, 6, 480, 12], 'label': '960.6254.3.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': '48.48', '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': '16.11'}
  • id: 114021738
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.b1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '12.h1.a1'], 'contains': ['48.a1.a1', '48.c1.a1', '48.d1.a1', '120.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6051, -1, 5390, -1, 6554, -1, 6524, -1], 'generators': [12, 192, 480, 24], 'label': '960.6254.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '48.48', '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': '2.1'}
  • id: 114021739
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.d1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '120.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4338, -1, 2975, -1, 4652, -1, 4388, -1], 'generators': [30, 192, 492, 480], 'label': '960.6254.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '48.48', '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: 114021740
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.c1.a1', '12.e1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.e1.a1', '48.e1.b1', '120.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3823, -1, 3826, -1, 3968, -1, 4040, -1], 'generators': [1, 192, 480, 12], 'label': '960.6254.24.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.e1.a1', 'projective_image': '48.48', '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': '2.1'}
  • id: 114021741
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.c1.a1', '12.f1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.g1.a1', '120.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2819, -1, 2040, -1, 2769, -1, 2094, -1], 'generators': [3, 192, 12, 480], 'label': '960.6254.24.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.f1.a1', 'projective_image': '48.48', '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': '2.1'}
  • id: 114021742
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.j1.a1', '12.j1.b1'], 'contains': ['48.c1.a1', '48.d1.a1', '120.g1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7593, -1, 7194, -1, 8777, -1, 8098, -1], 'generators': [732, 192, 480, 24], 'label': '960.6254.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.g1.a1', 'projective_image': '96.186', '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': '8.3'}
  • id: 114021743
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.c1.a1', '48.e1.a1', '120.h1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6532, -1, 6184, -1, 7575, -1, 7325, -1], 'generators': [1, 192, 480, 24], 'label': '960.6254.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.h1.a1', 'projective_image': '96.186', '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': '8.3'}
  • id: 114021744
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.j1.b1', '12.k1.b1'], 'contains': ['48.c1.a1', '48.e1.b1', '120.h1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6532, -1, 6481, -1, 7575, -1, 7806, -1], 'generators': [5, 192, 480, 720], 'label': '960.6254.24.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.h1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021745
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '12.j1.b1', '12.k1.a1'], 'contains': ['48.c1.a1', '120.i1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9492, -1, 8608, -1, 9049, -1, 9487, -1], 'generators': [721, 504, 480, 192], 'label': '960.6254.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.i1.a1', 'projective_image': '96.186', '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': '4.2'}
  • id: 114021746
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '12.j1.a1', '12.k1.b1'], 'contains': ['48.c1.a1', '120.i1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9492, -1, 9047, -1, 9049, -1, 9108, -1], 'generators': [29, 240, 480, 192], 'label': '960.6254.24.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.i1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021747
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 48, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1'], 'contains': ['48.d1.a1', '48.e1.a1', '48.e1.b1', '120.j1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5569, -1, 4650, -1, 6915, -1, 5621, -1], 'generators': [1, 192, 480, 36], 'label': '960.6254.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.j1.a1', 'projective_image': '96.186', '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': '4.2'}
  • id: 114021748
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '96.186', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '16.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4726, 6560, 6878, 6099, 3520, 4635, 3448, 6001], 'generators': [12, 480, 192, 504, 8, 720], 'label': '960.6254.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.c1.a1', '2.b1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '48.48', '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': '24.12'}
  • id: 114021749
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 96, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1'], 'contains': ['48.d1.a1', '120.k1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7112, -1, 5938, -1, 9261, -1, 9674, -1], 'generators': [723, 756, 480, 192], 'label': '960.6254.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.k1.a1', 'projective_image': '96.186', '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': '2.1'}
  • id: 114021750
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 16, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.d1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6926, 2988, 5284, 7275, 5196, 1603, 5052, 7814], 'generators': [6, 24, 720], 'label': '960.6254.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021751
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.261', 'aut_weyl_index': 24, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.c1.a1', '60.e1.a1', '60.f1.a1', '60.i1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5018, -1, 3993, -1, 4866, -1, 4026, -1], 'generators': [1, 6, 24], 'label': '960.6254.30.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021752
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.51', 'aut_weyl_index': 48, 'centralizer': '24.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '15.a1.a1'], 'contains': ['60.b1.a1', '60.g1.a1', '60.h1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8519, -1, 7849, -1, 8625, -1, 8435, -1], 'generators': [721, 6], 'label': '960.6254.30.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 114021753
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.261', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.e1.a1', '60.h1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7608, -1, 7474, -1, 7510, -1, 6400, -1], 'generators': [1, 726], 'label': '960.6254.30.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.d1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021754
    {'ambient': '960.6254', 'aut_centralizer_order': 8, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.261', 'aut_weyl_index': 24, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.f1.a1', '60.g1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7940, -1, 5864, -1, 6277, -1, 6009, -1], 'generators': [721, 726], 'label': '960.6254.30.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.e1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021755
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 48, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.e1.a1', '60.g1.a1', '60.j1.a1', '60.j1.b1', '60.k1.a1', '60.k1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9367, -1, 9032, -1, 7818, -1, 7372, -1], 'generators': [1, 12, 720], 'label': '960.6254.30.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.f1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021756
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '30.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 48, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '10.c1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.f1.a1', '60.h1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8175, -1, 8308, -1, 6499, -1, 6204, -1], 'generators': [3, 720], 'label': '960.6254.30.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.g1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021757
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '96.a1.a1', '160.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1627, -1, 606, -1, 2085, -1, 1889, -1], 'generators': [492, 192, 8], 'label': '960.6254.32.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '32.a1.a1', 'projective_image': '96.191', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021758
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '16.a1.a1', '16.b1.a1', '16.b1.b1'], 'contains': ['64.a1.a1', '96.b1.a1', '160.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2174, -1, 2479, -1, 3280, -1, 2946, -1], 'generators': [480, 192, 8], 'label': '960.6254.32.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '32.b1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021759
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 8, 'centralizer': '48.a1.a1', 'complements': ['240.f1.a1', '240.b1.a1', '240.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '12.k1.a1', '16.b1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5432, 9077, 6359, 2256, 4404, 9290, 4660, 1987], 'generators': [1, 480, 8, 24, 192, 720], 'label': '960.6254.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '96.186', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021760
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.c1.a1', '16.d1.a1'], 'contains': ['64.a1.a1', '96.c1.a1', '160.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1111, -1, 415, -1, 1661, -1, 1327, -1], 'generators': [12, 192, 8], 'label': '960.6254.32.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '32.c1.a1', 'projective_image': '96.190', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021761
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 64, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.b1.b1'], 'contains': ['120.b1.a1', '160.b1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5503, 8298, 6743, 2838, 4953, 6286, 4735, 3386], 'generators': [8, 744, 720, 480], 'label': '960.6254.40.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.b1.b1'], 'normal_contains': ['120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021762
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '10.a1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.c1.a1', '120.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [755, -1, 1210, -1, 787, -1, 696, -1], 'generators': [6, 480, 8, 12], 'label': '960.6254.40.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '40.b1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021763
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 64, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '10.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.b1.b1', '120.e1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3209, -1, 4819, -1, 2372, -1, 2724, -1], 'generators': [1, 12, 480, 8], 'label': '960.6254.40.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '40.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021764
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 64, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '10.c1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.d1.a1', '120.f1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [334, -1, 2064, -1, 1185, -1, 1048, -1], 'generators': [3, 480, 12, 8], 'label': '960.6254.40.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '40.d1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021765
    {'ambient': '960.6254', 'aut_centralizer_order': 384, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.c1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3096, 3293, 1842, 8355, 3583, 3417, 3214, 8452], 'generators': [12, 192, 480], 'label': '960.6254.48.a1.a1', 'mobius_quo': -2, 'mobius_sub': 24, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['12.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.48', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021767
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '24.c1.a1', '24.g1.a1', '24.h1.a1', '24.h1.b1', '24.i1.a1', '24.i1.b1'], 'contains': ['96.b1.a1', '240.c1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6632, -1, 6633, -1, 6723, -1, 7476, -1], 'generators': [24, 480, 192], 'label': '960.6254.48.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021768
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '24.g1.a1', '24.j1.a1', '24.k1.a1'], 'contains': ['96.b1.a1', '240.d1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6099, -1, 4404, -1, 7108, -1, 6807, -1], 'generators': [36, 480, 192], 'label': '960.6254.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '96.186', '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': '2.1'}
  • id: 114021769
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.e1.a1', '24.h1.a1', '24.j1.a1'], 'contains': ['96.b1.a1', '240.e1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4390, -1, 3565, -1, 5066, -1, 4722, -1], 'generators': [1, 480, 192], 'label': '960.6254.48.e1.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': '48.e1.a1', 'projective_image': '96.186', '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': '2.1'}
  • id: 114021770
    {'ambient': '960.6254', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 8, 'centralizer': '48.a1.a1', 'complements': ['240.f1.a1', '240.b1.a1', '240.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '12.k1.b1', '16.b1.b1', '20.b1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5432, 9077, 7315, 696, 4404, 9290, 5014, 613], 'generators': [5, 480, 8, 504, 192, 720], 'label': '960.6254.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.a1.a1', '20.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '96.186', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 114021771
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.e1.a1', '24.h1.b1', '24.j1.a1'], 'contains': ['96.b1.a1', '240.e1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4390, -1, 5229, -1, 5066, -1, 4910, -1], 'generators': [5, 480, 192], 'label': '960.6254.48.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.e1.b1', 'projective_image': '96.186', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021772
    {'ambient': '960.6254', 'aut_centralizer_order': 96, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1'], 'contains': ['96.c1.a1', '240.f1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [645, -1, 304, -1, 1450, -1, 1514, -1], 'generators': [6, 12, 192], 'label': '960.6254.48.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.f1.a1', 'projective_image': '96.190', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021773
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.f1.a1'], 'contains': ['96.c1.a1', '240.g1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1850, -1, 908, -1, 1873, -1, 1702, -1], 'generators': [3, 12, 192], 'label': '960.6254.48.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.g1.a1', 'projective_image': '96.190', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 114021774
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '60.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 64, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1', '30.f1.a1', '30.g1.a1'], 'contains': ['120.b1.a1', '120.c1.a1', '120.g1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8539, 4810, 8108, 6108, 5863, 2572, 6204, 6507], 'generators': [12, 24, 720], 'label': '960.6254.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 114021775
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 192, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '30.a1.a1', '30.b1.a1', '30.c1.a1'], 'contains': ['120.a1.a1', '120.c1.a1', '120.d1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5253, -1, 3563, -1, 5155, -1, 4995, -1], 'generators': [6, 24], 'label': '960.6254.60.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021776
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 96, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.b1.a1'], 'contains': ['120.a1.a1', '120.e1.a1', '120.f1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2636, -1, 2757, -1, 3169, -1, 2447, -1], 'generators': [1, 6], 'label': '960.6254.60.c1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '60.c1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021777
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '30.a1.a1', '30.d1.a1', '30.e1.a1'], 'contains': ['120.c1.a1', '120.d1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7407, -1, 5855, -1, 5586, -1, 5376, -1], 'generators': [726, 24], 'label': '960.6254.60.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.d1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021778
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '30.b1.a1', '30.d1.a1', '30.f1.a1'], 'contains': ['120.c1.a1', '120.e1.a1', '120.h1.a1', '120.h1.b1', '120.j1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5793, -1, 6609, -1, 7245, -1, 5913, -1], 'generators': [1, 12, 24], 'label': '960.6254.60.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.e1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021779
    {'ambient': '960.6254', 'aut_centralizer_order': 32, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '24.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '30.b1.a1', '30.e1.a1', '30.g1.a1'], 'contains': ['120.c1.a1', '120.f1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5027, -1, 4799, -1, 5365, -1, 5180, -1], 'generators': [3, 744], 'label': '960.6254.60.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.f1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 114021780
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 192, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '30.c1.a1', '30.e1.a1', '30.f1.a1'], 'contains': ['120.c1.a1', '120.i1.a1', '120.i1.b1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8990, -1, 8406, -1, 8119, -1, 8579, -1], 'generators': [721, 12], 'label': '960.6254.60.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.g1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021781
    {'ambient': '960.6254', 'aut_centralizer_order': 1, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.20129', 'aut_weyl_index': 4, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.d1.a1', '12.c1.a1', '20.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2523, -1, 2214, -1, 1611, -1, 1589, -1], 'generators': [1, 8, 192, 12, 6, 480], 'label': '960.6254.4.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '4.c1.a1', 'projective_image': '48.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021782
    {'ambient': '960.6254', 'aut_centralizer_order': 64, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 192, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '30.c1.a1', '30.d1.a1', '30.g1.a1'], 'contains': ['120.c1.a1', '120.k1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8172, -1, 7796, -1, 8447, -1, 8869, -1], 'generators': [723, 744], 'label': '960.6254.60.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.h1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 114021783
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 96, 'centralizer': '12.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '30.b1.a1'], 'contains': ['120.d1.a1', '120.e1.a1', '120.f1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4367, -1, 3883, -1, 4356, -1, 3779, -1], 'generators': [1, 30], 'label': '960.6254.60.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '60.i1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021784
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '30.f1.a1'], 'contains': ['120.g1.a1', '120.h1.a1', '120.i1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9505, -1, 8743, -1, 9475, -1, 8339, -1], 'generators': [1, 732], 'label': '960.6254.60.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.j1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021785
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.b1', '30.f1.a1'], 'contains': ['120.g1.a1', '120.h1.b1', '120.i1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9505, -1, 9130, -1, 9475, -1, 9297, -1], 'generators': [721, 732], 'label': '960.6254.60.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.j1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021786
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '20.b1.a1', '30.f1.a1'], 'contains': ['120.b1.a1', '120.h1.a1', '120.i1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9278, -1, 8936, -1, 7847, -1, 6792, -1], 'generators': [1, 720], 'label': '960.6254.60.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.k1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021787
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 96, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.b1', '20.b1.b1', '30.f1.a1'], 'contains': ['120.b1.a1', '120.h1.b1', '120.i1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9278, -1, 9681, -1, 7847, -1, 7565, -1], 'generators': [5, 24], 'label': '960.6254.60.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.k1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 114021788
    {'ambient': '960.6254', 'aut_centralizer_order': 48, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 192, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['192.a1.a1', '320.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1534, -1, 76, -1, 2345, -1, 2136, -1], 'generators': [8, 192], 'label': '960.6254.64.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '64.a1.a1', 'projective_image': '192.947', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021789
    {'ambient': '960.6254', 'aut_centralizer_order': 192, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 768, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '20.a1.a1', '40.b1.a1', '40.c1.a1', '40.d1.a1'], 'contains': ['160.a1.a1', '160.b1.a1', '160.c1.a1', '240.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1287, -1, 1895, -1, 2355, -1, 2128, -1], 'generators': [12, 480, 8], 'label': '960.6254.80.a1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '80.a1.a1', 'projective_image': '240.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 114021790
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 128, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '20.b1.a1', '40.c1.a1'], 'contains': ['160.b1.a1', '240.e1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3604, -1, 4513, -1, 3891, -1, 3674, -1], 'generators': [1, 480, 8], 'label': '960.6254.80.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '80.b1.a1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 114021791
    {'ambient': '960.6254', 'aut_centralizer_order': 16, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 128, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '20.b1.b1', '40.c1.a1'], 'contains': ['160.b1.a1', '240.e1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3604, -1, 5536, -1, 3891, -1, 3870, -1], 'generators': [5, 480, 8], 'label': '960.6254.80.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '80.b1.b1', 'projective_image': '480.1014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}